Faculty Publications

2017

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  • Houssam Abdul-Rahman, Bruno Nachtergaele, Robert Sims, and Gunter Stolz. Localization properties of the disordered XY spin chain: a review of mathematical results with an eye toward many-body localization. Ann. Phys., 529(7):201600280, 17, 2017.
  • N. Amor, N. C. Bouaynaya, R. Shterenberg, and S. Chebbi. On the convergence of constrained particle filters. IEEE Signal Processing Letters, 24(6):858{862, June 2017.
  • K. Antwi-Fordjour and M. Nkashama. Global existence of solutions of the Gierer-Meinhardt system with mixed boundary conditions. Applied Mathematics, 8(6):857{867, 2017.
  • B. Bayar, N. Bouaynaya, and R. Shterenberg. Smurc: High-dimension smallsample multivariate regression with covariance estimation. IEEE Journal of Biomedical and Health Informatics, 21(2):573{581, March 2017.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. Combinatorial models for spaces of cubic polynomials. C. R. Math. Acad. Sci. Paris, 355(5):590{595, 2017.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. The parameter space of cubic laminations with a xed critical leaf. Ergodic Theory Dynam. Systems, 37(8):2453{2486, 2017.
  • Alexander Blokh, Lex Oversteegen, and Vladlen Timorin. Non-degenerate locally connected models for plane continua and Julia sets. Discrete Contin. Dyn. Syst., 37(11):5781{5795, 2017.
  • Ahmed Ghatasheh and Rudi Weikard. On Leighton's comparison theorem. J. Differential Equations, 262(12):5978{5989, 2017.
  • Yulia Karpeshina, Young-Ran Lee, Roman Shterenberg, and Gunter Stolz. Ballistic transport for the Schrodinger operator with limit-periodic or quasiperiodic potential in dimension two. Comm. Math. Phys., 354(1):85{113, 2017.
  • Junfang Li and Chao Xia. An integral formula for affine connections. J. Geom. Anal., 27(3):2539{2556, 2017.
  • Nsoki Mavinga and Mubenga N. Nkashama. Bifurcation from infinity and multiplicity of solutions for nonlinear periodic boundary value problems. Rend. Istit. Mat. Univ. Trieste, 49:165{191, 2017.
  • Caleb C. Moxley and Nandor J. Simanyi. Homotopical complexity of a 3D billiard flow. In Dynamical systems, ergodic theory, and probability: in memory of Kolya Chernov, volume 698 of Contemp. Math., pages 169{180. Amer. Math. Soc., Providence, RI, 2017.
  • Caleb C. Moxley and Nandor J. Simanyi. Homotopical complexity of a billiard flow on the 3d at torus with two cylindrical obstacles. Ergodic Theory and Dynamical Systems, pages 1{11, 2017.
  • Leonid Parnovski and Roman Shterenberg. Perturbation theory for spectral gap edges of 2D periodic Schrodinger operators. J. Funct. Anal., 273(1):444{ 470, 2017.
  • Gunter Stolz. Random operators: disorder effects on quantum spectra and dynamics [book review of MR3364516]. Bull. Amer. Math. Soc. (N.S.), 54(2):347{ 353, 2017.
  • Yanni Zeng. Global existence theory for general hyperbolic-parabolic balance laws with application. J. Hyperbolic Differ. Equ., 14(2):359{391, 2017.

2016

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  • Houssam Abdul-Rahman, Bruno Nachtergaele, Robert Sims, and Gunter Stolz. Entanglement dynamics of disordered quantum XY chains. Lett. Math. Phys., 106(5):649–674, 2016.
  • C. Bennewitz, B. M. Brown, and R. Weikard. The spectral problem for the dispersionless Camassa-Holm equation. In Operator theory, function spaces, and applications, volume 255 of Oper. Theory Adv. Appl., pages 67–90. Birkhauser/Springer, Cham, 2016.
  • Alexander Blokh, Doug Childers, Genadi Levin, Lex Oversteegen, and Dierk Schleicher. An extended Fatou-Shishikura inequality and wandering branch continua for polynomials. Adv. Math., 288:1121–1174, 2016.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. The combinatorial Mandelbrot set as the quotient of the space of geolaminations. In Dynamics and numbers, volume 669 of Contemp. Math., pages 37–62. Amer. Math. Soc., Providence, RI, 2016.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. Laminations from the main cubioid. Discrete Contin. Dyn. Syst., 36(9):4665–4702, 2016.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. Quadratic-like dynamics of cubic polynomials. Comm. Math. Phys., 341(3):733–749, 2016.
  • Matthew P. Clay and Nandor J. Simanyi. Renyi’s parking problem revisited. Stoch. Dyn., 16(2):1660006, 11, 2016.
  • David J. Cosper, Jeffrey K. Houghton, John C. Mayer, Luka Mernik, and Joseph W. Olson. Central strips of sibling leaves in laminations of the unit disk. Topology Proc., 48:69–100, 2016.
  • Nicholas Crawford, Stephen Ng, and Shannon Starr. Emptiness formation probability. Comm. Math. Phys., 345(3):881–922, 2016.
  • Dimah Dera, Nidhal Bouaynaya, and Hassan M. Fathallah-Shaykh. Automated robust image segmentation: level set method using nonnegative matrix factorization with application to brain MRI. Bull. Math. Biol., 78(7):1450–1476, 2016.
  • Richard Froese, Darrick Lee, Christian Sadel, Wolfgang Spitzer, and Gunter Stolz. Localization for transversally periodic random potentials on binary trees. J. Spectr. Theory, 6(3):557–600, 2016.
  • Logan C. Hoehn and Lex G. Oversteegen. A complete classification of homogeneous plane continua. Acta Math., 216(2):177–216, 2016.
  • Sarah Koch, Kevin M. Pilgrim, and Nikita Selinger. Pullback invariants of Thurston maps. Trans. Amer. Math. Soc., 368(7):4621–4655, 2016.
  • Leonid Parnovski and Roman Shterenberg. Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators. Duke Math. J., 165(3):509–561, 2016.
  • Fabio Raman, Elizabeth Scribner, Olivier Saut, Cornelia Wenger, Thierry Colin, and Hassan M. Fathallah-Shaykh. Computational trials: Unraveling motility phenotypes, progression patterns, and treatment options for glioblastoma multiforme. PLoS ONE, 11(1):e0146617, 2016.
  • Gnter Stolz. Many-body localization for disordered bosons. New Journal of Physics, 18(3):031002, 2016.
  • Yanni Zeng. On Cauchy problems of thermal non-equilibrium flows with small data. Bull. Braz. Math. Soc. (N.S.), 47(2):799–809, 2016.
  • Yanni Zeng. Thermal non-equilibrium flows in three space dimensions. Arch. Ration. Mech. Anal., 219(1):27–87, 2016.
  • Yanni Zeng and Jiao Chen. Pointwise time asymptotic behavior of solutions to a general class of hyperbolic balance laws. J. Differential Equations, 260(8):6745–6786, 2016.

2015

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  • Houssam Abdul-Rahman and Gunter Stolz. A uniform area law for the entanglement of eigenstates in the disordered XY chain. J. Math. Phys., 56(12):121901, 25, 2015.
  • Alexander A. Balinsky, W. Desmond Evans, and Roger T. Lewis. The analysis and geometry of Hardy’s inequality. Universitext. Springer, Cham, 2015.
  • Matthew Bledsoe and Rudi Weikard. The inverse resonance problem for left-definite Sturm-Liouville operators. J. Math. Anal. Appl., 423(2):1753–1773, 2015.
  • Alexander M. Blokh. Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces. Proc. Amer. Math. Soc., 143(9):3985–4000, 2015.
  • Jacob Chapman and Gunter Stolz. Localization for random block operators related to the XY spin chain. Ann. Henri Poincare, 16(2):405–435, 2015.
  • David J. Cosper, Jeffrey K. Houghton, John C. Mayer, Luka Mernik, and Joseph W. Olson. Central strips of sibling leaves in laminations of the unit disk. Topology Proc., 48:69–100, 2016.
  • B. Ebinger, N. Bouaynaya, R. Polikar, and R. Shterenberg. Constrained state estimation in particle filters. In 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pages 4050–4054, April 2015.
  • Antwi-Fordjour K. Fadlallah, A. and M. Nkashama. Generalized spectrum of steklov-robin type problem for elliptic systems. Applied Mathematics, 6:421– 429, 2015.
  • Michael A. Frolich, Paul Jung, and Shannon Starr. Target frequency analysis of functional mri data. Int J Clin Biostat Biom, 1(2), 2015.
  • Paul Jung and Greg Markowsky. Holder continuity and occupation-time formulas for fBm self-intersection local time and its derivative. J. Theoret. Probab., 28(1):299–312, 2015.
  • Kenichi Kanatani, Ali Al-Sharadqah, Nikolai Chernov, and Yasuyuki Sugaya. Hyper-renormalization: Non-minimization approach for geometric estimation. Information and Media Technologies, 10(1):71–87, 2015.
  • Na Li, Carmeliza Navasca, and Christina Glenn. Iterative methods for symmetric outer product tensor decomposition. Electron. Trans. Numer. Anal., 44:124–139, 2015.
  • Tai-Ping Liu and Yanni Zeng. Shock waves in conservation laws with physical viscosity. Mem. Amer. Math. Soc., 234(1105):vi+168, 2015.
  • N. Mavinga and M. N. Nkashama. Resonance problems for nonlinear elliptic equations with nonlinear boundary conditions. J. Appl. Funct. Anal., 10(3-4):281–295, 2015.
  • Deonnia N. Pompey and Carmeliza Navasca. Random projections for low multilinear rank tensors. In I. Hotz and T. Schultz, editors, Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, Mathematics and Visualization. Springer International Publishing, 2015.
  • Nikita Selinger and Michael Yampolsky. Constructive geometrization of thurston maps. C. R. Math. Rep. Acad. Sci. Canada, 37(3):100–113, 2015.
  • Nikita Selinger and Michael Yampolsky. Constructive geometrization of Thurston maps and decidability of Thurston equivalence. Arnold Math. J., 1(4):361–402, 2015.
  • Robert Sims and Gunter Stolz. Many-body localization: Concepts and simple models. Markov Processes And Related Fields, 21(3):791–822, 2015.
  • Meg Walters and Shannon Starr. A note on mixed matrix moments for the complex Ginibre ensemble. J. Math. Phys., 56(1):013301, 20, 2015.
  • X. Wang and C. Navasca. Adaptive low rank approximation for tensors. In 2015 IEEE International Conference on Computer Vision Workshop (ICCVW), pages 939–945, Dec 2015.
  • Yanni Zeng. Global existence theory for a general class of hyperbolic balance laws. Bull. Inst. Math. Acad. Sin. (N.S.), 10(2):143–170, 2015.
  • Henghui Zou. Finite-time blow-up and blow-up rates for the Gierer-Meinhardt system. Appl. Anal., 94(10):2110–2132, 2015.
  • Henghui Zou. On global existence for the Gierer-Meinhardt system. Discrete Contin. Dyn. Syst., 35(1):583–591, 2015.

2014

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Books

  • Peter V. O’Neil. Beginning partial differential equations. Pure and Applied Mathematics (Hoboken). John Wiley & Sons, Inc., Hoboken, NJ, third edition, 2014.

Articles

  • H. Abdul-Rahman and N. Chernov. Fast and numerically stable circle fit. J. Math. Imaging Vision, 49(2):289–295, 2014.
  • Belhassen Bayar, Nidhal Bouaynaya, and Roman Shterenberg. Probabilistic non-negative matrix factorization: Theory and application to microarray data analysis. Journal of Bioinformatics and Computational Biology, 12(01):1450001, 2014. PMID: 24467759.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. Dynamical cores of topological polynomials. In Frontiers in complex dynamics, volume 51 of Princeton Math. Ser., pages 27–48. Princeton Univ. Press, Prince- ton, NJ, 2014.
  • Alexander Blokh, Lex Oversteegen, Ross Ptacek, and Vladlen Timorin. The main cubioid. Nonlinearity, 27(8):1879–1897, 2014.
  • Clement Dombry and Paul Jung. A Lindeberg-Feller theorem for stable laws. Statist. Probab. Lett., 84:198–203, 2014.
  • C. Fischbacher and G. Stolz. The infinite XXZ quantum spin chain revisited: structure of low lying spectral bands and gaps. Math. Model. Nat. Phenom., 9(5):44–72, 2014.
  • Alexandra Fry and Carmeliza Navasca. Tensor restricted isometry property for multilinear sparse system of genomic interactions. In Signals, Systems and Computers, 2014 48th Asilomar Conference on, pages 741–744, Nov 2014.
  • Fritz Gesztesy and Rudi Weikard. Some remarks on the spectral problem underlying the Camassa-Holm hierarchy. In Operator theory in harmonic and non-commutative analysis, volume 240 of Oper. Theory Adv. Appl., pages 137– 188. Birkhauser/Springer, Cham, 2014.
  • Pengfei Guan and Junfang Li. A mean curvature type flow in space forms. International Mathematics Research Notices, 2014.
  • L. C. Hoehn, L. G. Oversteegen, and E. D. Tymchatyn. Continuum theory. In Recent progress in general topology. III, pages 581–600. Atlantis Press, Paris, 2014.
  • Logan Hoehn and Christopher Mouron. Hierarchies of chaotic maps on continua. Ergodic Theory Dynam. Systems, 34(6):1897–1913, 2014.
  • Takashi Ichinose and Yoshimi Saito. Improved Sobolev embedding theorems for vector-valued functions. Funkcial. Ekvac., 57(2):245–295, 2014.
  • S. Jansen and P. Jung. Wigner crystallization in the quantum 1D jellium at all densities. Comm. Math. Phys., 331(3):1133–1154, 2014.
  • Paul Jung. Random-time isotropic fractional stable fields. J. Theoret. Probab., 27(2):618–633, 2014.
  • Paul Jung and Greg Markowsky. On the Tanaka formula for the derivative of self-intersection local time of fractional Brownian motion. Stochastic Process. Appl., 124(11):3846–3868, 2014.
  • Kenichi Kanatani, Ali Al-Sharadqah, Nikolai Chernov, and Yasuyuki Sugaya. Hyper-renormalization: Non-minimization approach for geometric estimation. IPSJ Transactions on Computer Vision and Applications, 6:143–159, 2014.
  • Stefan Kindermann and Carmeliza Navasca. News algorithms for tensor decomposition based on a reduced functional. Numer. Linear Algebra Appl., 21(3):340–374, 2014.
  • Ian Knowles, Li Feng, and Ajay Mahato. The inverse volatility problem for european options. Electron. J. Diff. Eqns., Conference 21:183–195, 2014.
  • Ian Knowles and Robert J. Renka. Methods for numerical differentiation of noisy data. Electron. J. Diff. Eqns., Conference 21:235–246, 2014.
  • Yong-Hoon Lee, Seong-Uk Kim, and Eun Kyoung Lee. Three solutions theorem for p-Laplacian problems with a singular weight and its application. Abstr. Appl. Anal., pages Art. ID 502756, 9, 2014.
  • Nsoki Mavinga and Mubenga N. Nkashama. Strong bounded solutions for non-linear parabolic systems. Electron. J. Diff. Eqns., Conference 21:197–221, 2014.
  • Sergey Morozov, Leonid Parnovski, and Roman Shterenberg. Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators. Ann. Henri Poincare, 15(2):263–312, 2014.
  • Amanda M. Rehm, Elizabeth Y. Scribner, and Hassan M. Fathallah-Shaykh. Proper orthogonal decomposition for parameter estimation in oscillating biological networks. J. Comput. Appl. Math., 258:135–150, 2014.
  • Elizabeth Scribner, Olivier Saut, Paula Province, Asim Bag, Thierry Colin, and Hassan M. Fathallah-Shaykh. Effects of anti-angiogenesis on glioblastoma growth and migration: Model to clinical predictions. PLoS ONE, 9(12):e115018, 2014.
  • R. Shterenberg and V. Sukhanov. RiemannHilbert approach to the inverse problem for the Schrodinger operator on the half-line. Algebra i Analiz, 26:198215, 2014.
  • Henghui Zou. Blow-up rates for semi-linear reaction-diffusion systems. J. Dif- ferential Equations, 257(3):843–867, 2014.

2013

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  • Ali Al-Sharadqah, Nikolai Chernov, and Qizhuo Huang. Errors-in-variables regression and the problem of moments. Braz. J. Probab. Stat., 27(4):401–415, 2013.
  • R. AlAhmad and R. Weikard. On inverse problems for left-definite discrete Sturm-Liouville equations. Oper. Matrices, 7(1):35–70, 2013.
  • Mark S. Ashbaugh, Fritz Gesztesy, Marius Mitrea, Roman Shterenberg, and Gerald Teschl. A survey on the Krein–von Neumann extension, the corre- sponding abstract buckling problem, and Weyl-type Spectral asymptotics for perturbed Krein Laplacians in nonsmooth domains. In Mathematical physics, spectral theory and stochastic analysis, volume 232 of Oper. Theory Adv. Appl., pages 1–106. Birkhauser/Springer Basel AG, Basel, 2013.
  • B. Bayar, N. Bouaynaya, and R. Shterenberg. Inference of genetic regulatory networks with unknown covariance structure. In Genomic Signal Processing and Statistics (GENSIPS), 2013 IEEE International Workshop on, pages 74– 77, Nov 2013.
  • A. Blokh and K. Snider. Over-rotation numbers for unimodal maps. J. Difference Equ. Appl., 19(7):1108–1132, 2013.
  • Alexander Blokh. Recurrent and periodic points in dendritic Julia sets. Proc. Amer. Math. Soc., 141(10):3587–3599, 2013.
  • Alexander Blokh, Clinton Curry, and Lex Oversteegen. Cubic critical portraits and polynomials with wandering gaps. Ergodic Theory Dynam. Systems, 33(3):713–738, 2013.
  • Alexander Blokh, Clinton Curry, and Lex Oversteegen. Finitely Suslinian models for planar compacta with applications to Julia sets. Proc. Amer. Math. Soc., 141(4):1437–1449, 2013.
  • Alexander M. Blokh, Robbert J. Fokkink, John C. Mayer, Lex G. Oversteegen, and E. D. Tymchatyn. Fixed point theorems for plane continua with applications. Mem. Amer. Math. Soc., 224(1053):xiv+97, 2013.
  • Alexander M. Blokh, Debra Mimbs, Lex G. Oversteegen, and Kirsten I. S. Valkenburg. Laminations in the language of leaves. Trans. Amer. Math. Soc., 365(10):5367–5391, 2013.
  • F. Bonetto, N. Chernov, A. Korepanov, and J. L. Lebowitz. Nonequilibrium stationary state of a current-carrying thermostated system. EPL (Europhysics Letters), 102(1):15001, 2013.
  • Nidhal Bouaynaya, Roman Shterenberg, and Dan Schonfeld. Optimal perturbation control of general topology molecular networks. IEEE Trans. Signal Process., 61(7):1733–1742, 2013.
  • Nidhal Bouaynaya, Roman Shterenberg, Dan Schonfeld, and Hassan M. Fathallah-Shaykh. Intervention and control of gene regulatory networks: Theoretical framework and application to human melanoma gene regulation. In Matthias Dehmer and Frank Emmert-Streib, editors, Statistical Diagnostics for Cancer: Analyzing High-Dimensional Data, pages 215 –238. Wiley-Blackwell, 2013.
  • M. Brazell, N. Li, C. Navasca, and C. Tamon. Solving multilinear systems via tensor inversion. SIAM J. Matrix Anal. Appl., 34(2):542–570, 2013.
  • N. Chernov, Q. Huang, and H. Ma. Is the best fitting curve always unique? J. Math., pages Art. ID 753981, 5, 2013.
  • N. Chernov and S. Wijewickrema. Algorithms for projecting points onto conics. J. Comput. Appl. Math., 251:8–21, 2013.
  • Nikolai Chernov, Hong-Kun Zhang, and Pengfei Zhang. Electrical current in Sinai billiards under general small forces. J. Stat. Phys., 153(6):1065–1083, 2013.
  • Pierluigi Contucci, Sander Dommers, Cristian Giardina, and Shannon Starr. Antiferromagnetic Potts model on the Erdos-Renyi random graph. Comm. Math. Phys., 323(2):517–554, 2013.
  • Pierluigi Contucci, Emanuele Mingione, and Shannon Starr. Factorization properties in d-dimensional spin glasses. Rigorous results and some perspectives. J. Stat. Phys., 151(5):809–829, 2013.
  • Clinton P. Curry, John C. Mayer, and E. D. Tymchatyn. Topology and measure of buried points in Julia sets. Fund. Math., 222(1):1–17, 2013.
  • Fritz Gesztesy, Rudi Weikard, and Maxim Zinchenko. Initial value problems and Weyl-Titchmarsh theory for Schrodinger operators with operator-valued potentials. Oper. Matrices, 7(2):241–283, 2013.
  • Fritz Gesztesy, Rudi Weikard, and Maxim Zinchenko. On a class of model Hilbert spaces. Discrete Contin. Dyn. Syst., 33(11-12):5067–5088, 2013.
  • Fritz Gesztesy, Rudi Weikard, and Maxim Zinchenko. On spectral theory for Schrodinger operators with operator-valued potentials. J. Differential Equations, 255(7):1784–1827, 2013.
  • L. C. Hoehn. An uncountable family of copies of a non-chainable tree-like continuum in the plane. Proc. Amer. Math. Soc., 141(7):2543–2556, 2013.
  • Paul Jung and Greg Markowsky. Random walks at random times: convergence to iterated Levy motion, fractional stable motions, and other self-similar processes. Ann. Probab., 41(4):2682–2708, 2013.
  • Yulia Karpeshina and Young-Ran Lee. Spectral properties of a limit-periodic Schrodinger operator in dimension two. J. Anal. Math., 120:1–84, 2013.
  • Yulia Karpeshina and Roman Shterenberg. Multiscale analysis in momentum space for quasi-periodic potential in dimension two. J. Math. Phys., 54(7):073507, 92, 2013.
  • Junfang Li. Evolution of eigenvalues along rescaled Ricci flow. Canad. Math. Bull., 56(1):127–135, 2013.
  • Na Li, Philip Hopke, Kumar Pramod, Steven Smith, Yongjing Zhao, and Carmeliza Navasca. Source apportionment of time and size resolved ambient particulate matter. J. Chemometrics and Intelligent Laboratory Systems, 129:15–20, 2013.
  • Na Li, Stefan Kindermann, and Carmeliza Navasca. Some convergence results on the regularized alternating least-squares method for tensor decomposition. Linear Algebra Appl., 438(2):796–812, 2013.
  • Carl Mueller and Shannon Starr. The length of the longest increasing subsequence of a random Mallows permutation. J. Theoret. Probab., 26(2):514–540, 2013.
  • Bernadette Mullins, Patty Lofgren, Ruth Parker, Barry Spieler, Faye Clark, Rachel Cochran, Ann Dominick, Jason Fulmore, John Mayer, and Sherry Parrish. Challenging courses and curricula: A model for all students. NCMS Journal of Mathematics Education Leadership, 14:31–37, 2013.
  • Sergey Naboko, Roger Nichols, and Gunter Stolz. Simplicity of eigenvalues in Anderson-type models. Ark. Mat., 51(1):157–183, 2013.
  • Bruno Nachtergaele, Robert Sims, and Gunter Stolz. An area law for the bipartite entanglement of disordered oscillator systems. J. Math. Phys., 54(4):042110, 24, 2013.
  • R. G. Shterenberg and V. V. Sukhanov. The scattering problem for a fourth order ordinary differential operator on the half-line. I. The direct problem. Algebra i Analiz, 25(2):236–250, 2013.
  • Roman Shterenberg, Rudi Weikard, and Maxim Zinchenko. Stability for the inverse resonance problem for the CMV operator. In Spectral analysis, differential equations and mathematical physics: a festschrift in honor of Fritz Gesztesy’s 60th birthday, volume 87 of Proc. Sympos. Pure Math., pages 315– 326. Amer. Math. Soc., Providence, RI, 2013.
  • Nandor Simanyi. Singularities and non-hyperbolic manifolds do not coincide. Nonlinearity, 26(6):1703–1717, 2013.
  • Haoyu Wang, N. Bouaynaya, R. Shterenberg, and D. Schonfeld. Sparse biologically-constrained optimal perturbation of gene regulatory networks. In Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on, pages 1167–1171, May 2013.
  • J. R. Ward. Periodic solutions of first order systems. Discrete Contin. Dyn. Syst., 33(1):381–389, 2013.
  • Henghui Zou. An existence theorem for semi-linear elliptic systems. Adv. Non- linear Stud., 13(3):773–789, 2013.

2012

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  • A. Al-Sharadqah and N. Chernov. A doubly optimal ellipse fit. Comput. Statist. Data Anal., 56(9):2771–2781, 2012.
  • A. Balinsky, W. D. Evans, and R. T. Lewis. Hardy’s inequality and curvature. J. Funct. Anal., 262(2):648–666, 2012.
  • C. Bennewitz, B. M. Brown, and R. Weikard. Scattering and inverse scat- tering for a left-definite Sturm-Liouville problem. J. Differential Equations, 253(8):2380–2419, 2012.
  • C. Bennewitz, B. M. Brown, and R. Weikard. A uniqueness result for one- dimensional inverse scattering. Math. Nachr., 285(8-9):941–948, 2012.
  • Matthew Bledsoe. Stability of the inverse resonance problem for Jacobi oper- ators. Integral Equations Operator Theory, 74(4):481–496, 2012. PhD advisor: Rudi Weikard.
  • Matthew Bledsoe. Stability of the inverse resonance problem on the line. Inverse Problems, 28(10):105003, 20, 2012. PhD advisor: Rudi Weikard.
  • Alexander Blokh, Clinton Curry, and Lex Oversteegen. Density of orbits in laminations and the space of critical portraits. Discrete Contin. Dyn. Syst., 32(6):2027–2039, 2012.
  • Federico Bonetto, Nikolai Chernov, Alexey Korepanov, and Joel L. Lebowitz. Spatial structure of stationary nonequilibrium states in the thermostatted pe- riodic Lorentz gas. J. Stat. Phys., 146(6):1221–1243, 2012.
  • N. Bouaynaya, R. Shterenberg, and D. Schonfeld. Methods for optimal intervention in gene regulatory networks [applications corner]. Signal Processing Magazine, IEEE, 29(1):158 – 163, Jan. 2012.
  • N. Chernov, Q. Huang, and H. Ma. Does the best fitting curve always exist? ISRN Probability and Statistics, 2012.
  • N. Chernov, A. Korepanov, and N. Simanyi. Stable regimes for hard disks in a channel with twisting walls. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012.
  • N. Chernov and D. Li. Decay of fourier modes of solutions to the dissipative surface quasi-geostrophic equations on a finite domain. Chaos, Solitons & Fractals, 45:1192–1200, 2012.
  • N. Chernov, Yu. Stoyan, T. Romanova, and A. Pankratov. Phi-functions for 2D objects formed by line segments and circular arcs. Adv. Oper. Res., pages Art. ID 346358, 26, 2012.
  • Lee M. Goswick, Emil W. Kiss, Gabor Moussong, and Nandor Simanyi. Sums of squares and orthogonal integral vectors. J. Number Theory, 132(1):37–53, 2012.
  • Pengfei Guan, Junfang Li, and Yanyan Li. Hypersurfaces of prescribed curvature measure. Duke Math. J., 161(10):1927–1942, 2012.
  • Eman Hamza, Robert Sims, and Gunter Stolz. Dynamical localization in disordered quantum spin systems. Comm. Math. Phys., 315(1):215–239, 2012.
  • Paul Jung. Random-time isotropic fractional stable fields. Journal of Theoretical Probability, pages 1–16, 2012.
  • Kenichi Kanatani, Ali Al-Sharadqah, Nikolai Chernov, and Yasuyuki Sugaya. Renormalization returns: Hyper-renormalization and its applications. In Andrew Fitzgibbon, Svetlana Lazebnik, Pietro Perona, Yoichi Sato, and Cordelia Schmid, editors, Computer Vision ECCV 2012, volume 7574 of Lecture Notes in Computer Science, pages 384–397. Springer Berlin Heidelberg, 2012.
  • Yulia Karpeshina and Roman Shterenberg. Extended states for polyharmonic operators with quasi-periodic potentials in dimension two. J. Math. Phys., 53, 2012.
  • Frederic Klopp, Michael Loss, Shu Nakamura, and Gunter Stolz. Localization for the random displacement model. Duke Math. J., 161(4):587–621, 2012.
  • Frederic Klopp, Michael Loss, Shu Nakamura, and Gunter Stolz. Understanding the random displacement model: from ground state properties to localization. In Spectral analysis of quantum Hamiltonians, volume 224 of Oper. Theory Adv. Appl., pages 183–219. Birkhauser/Springer Basel AG, Basel, 2012.
  • Ian Knowles and Mary A. LaRussa. Lavrentiev’s theorem and error estimation in elliptic inverse problems. In Spectral theory, function spaces and inequalities, volume 219 of Oper. Theory Adv. Appl., pages 91–103. Birkhauser/Springer Basel AG, Basel, 2012.
  • Andrew Ledoan, Marco Merkli, and Shannon Starr. A universality property of Gaussian analytic functions. J. Theoret. Probab., 25(2):496–504, 2012.
  • Roger T. Lewis. Spectral properties of some degenerate elliptic differential operators. In Spectral theory, function spaces and inequalities, volume 219 of Oper. Theory Adv. Appl., pages 139–156. Birkhauser/Springer Basel AG, Basel, 2012.
  • Roger T. Lewis, Junfang Li, and Yanyan Li. A geometric characterization of a sharp Hardy inequality. J. Funct. Anal., 262(7):3159–3185, 2012.
  • Tai-Ping Liu and Yanni Zeng. On nonlinear stability of viscous shock waves with physical viscosity. In T. Li and S. Jiang, editors, Hyperbolic Problems: Theory, Numerics and Applications, Vol. 1, pages 60–71. World Scientific, 2012.
  • R. Manasevich and J. R. Ward. On a result of Brezis and Mawhin. Proc. Amer. Math. Soc., 140(2):531–539, 2012.
  • Marco Marletta, S. Naboko, R. Shterenberg, and R. Weikard. On the inverse resonance problem for Jacobi operators—uniqueness and stability. J. Anal. Math., 117:221–247, 2012.
  • N. Mavinga and M. N. Nkashama. Nonresonance on the boundary and strong solutions of elliptic equations with nonlinear boundary conditions. J. Appl. Funct. Anal., 7(3):248–257, 2012.
  • Bruno Nachtergaele, Stephen Ng, and Shannon Starr. Ferromagnetic ordering of energy levels for Uq (sl2) symmetric spin chains. Lett. Math. Phys., 100(3):327–356, 2012.
  • Bruno Nachtergaele, Robert Sims, and Gu¨nter Stolz. Quantum harmonic oscillator systems with disorder. J. Stat. Phys., 149(6):969–1012, 2012.
  • Leonid Parnovski and Roman Shterenberg. Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic schrdinger operators. Annals of Mathematics, 176(2):1039–1096, required.
  • Yoshimi Saito and Tomio Umeda. A sequence of zero modes of Weyl-Dirac operators and an associated sequence of solvable polynomials. In Spectral the-ory, function spaces and inequalities, volume 219 of Oper. Theory Adv. Appl., pages 197–209. Birkhauser/Springer Basel AG, Basel, 2012.
  • R. Sigurdson and C. Navasca. Randomized tensor-based algorithm for image classification. In Signals, Systems and Computers (ASILOMAR), 2012 Conference Record of the Forty Sixth Asilomar Conference on, pages 1984–1988, 2012.
  • Wolfgang Spitzer, Shannon Starr, and Lam Tran. Counterexamples to ferro-magnetic ordering of energy levels. J. Math. Phys., 53(4):043302, 22, 2012.
  • Shannon Starr, Brigitta Vermesi, and Ang Wei. About thinning invariant partition structures. J. Stat. Phys., 148(2):325–344, 2012.
  • Lam Tran, C. Navasca, and Jiebo Luo. Video detection anomaly via low-rank and sparse decompositions. In Image Processing Workshop (WNYIPW), 2012 Western New York, pages 17–20, 2012.
  • Yanni Zeng. Large time behavior of solutions to nonlinear viscoelastic model with fading memory. Acta Math. Sci. Ser. B Engl. Ed., 32(1):219–236, 2012.
  • Henghui Zou. On positive solutions of quasi-linear elliptic equations involving critical Sobolev growth. J. Funct. Anal., 263(12):4034–4058, 2012.

2011

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Books

  • Mark Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Simeon Reich, David Shoikhet, Gilbert Weinstein, and Lawrence Zalcman, editors. Complex analysis and dynamical systems IV. Part 1, volume 553 of Contemporary Mathematics, Providence, RI, 2011. American Mathematical Society. Function theory and optimization.
  • Mark Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Simeon Reich, David Shoikhet, Gilbert Weinstein, and Lawrence Zalcman, editors. Complex analysis and dynamical systems IV. Part 2, volume 554 of Contemporary Mathematics, Providence, RI, 2011. American Mathematical Society. General relativity, geometry, and PDE.
  • Nikolai Chernov. Circular and linear regression, volume 117 of Monographs on Statistics and Applied Probability. CRC Press, Boca Raton, FL, 2011.
  • Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko, and Gunter Stolz, editors. Spectral theory and analysis, volume 214 of Operator Theory: Advances and Applications. Birkhauser/Springer Basel AG, Basel, 2011.

Articles

  • A. Al-Sharadqah and N. Chernov. Statistical analysis of curve fitting methods in errors-invariables models. Teor. Imovr. Mat. Stat., (84):4{17, 2011.
  • P. Balint, N. Chernov, and D. Dolgopyat. Limit theorems for dispersing billiards with cusps. Comm. Math. Phys., 308(2):479{510, 2011.
  • B. Bayar, N. Bouaynaya, and R. Shterenberg. Clustering gene expression data using probabilistic non-negative matrix factorization. In Genomic Signal Processing and Statistics (GEN-SIPS), 2011 IEEE International Workshop on, pages 143-146, dec. 2011.
  • Alexander Blokh, Douglas K. Childers, John C. Mayer, and Lex Oversteegen. Non-degenerate quadratic laminations. Topology Proc., 38:313{360, 2011.
  • Alexander M. Blokh, Clinton P. Curry, and Lex G. Oversteegen. Locally connected models for Julia sets. Adv. Math., 226(2):1621–1661,  2011.
  • N. Bouaynaya, M. Rasheed, R. Shterenberg, and D. Schonfeld. Intervention in general topol- ogy gene regulatory networks. In Genomic Signal Processing and Statistics (GENSIPS), 2011 IEEE International Workshop on, pages 222 –225, dec. 2011N.
  • Bouaynaya, R. Shterenberg, and D. Schonfeld. Inverse perturbation for optimal interven- tion in gene regulatory networks. Bioinformatics, 27(1):103–110, 2011.
  • N. Bouaynaya, R. Shterenberg, and D. Schonfeld. Robustness of inverse perturbation for discrete event control. In Engineering in Medicine and Biology Society, EMBC, 2011 Annual International Conference of the IEEE, pages 2422 –2425, 30 2011-sept. 3 2011.
  • N. Chernov. Fitting circles to scattered data: parameter estimates have no moments. Metrika, 73(3):373–384, 2011.
  • N. Chernov and H. Ma. Least squares fitting of quadratic curves and surfaces. In S. R. Yoshida, editor, Computer Vision, pages 285–302. Nova Science Publ., 2011.
  • Sergio Dain, Gilbert Weinstein, and Sumio Yamada. A counterexample to a Penrose inequality conjectured by Gibbons. Classical Quantum Gravity, 28(8):085015, 6, 2011.
  • David Damanik and Gu¨nter Stolz. A continuum version of the Kunz-Souillard approach to localization in one dimension. J. Reine Angew. Math., 660:99–130, 2011.
  • Lee M. Goswick and Nandor Simanyi. Homotopical complexity of 2d billiard orbits. Studia Sci. Math. Hungar., 48(4):540–562, 2011.
  • Paul Jung. Indicator fractional stable motions. Electron. Commun. Probab., 16:165–173, 2011.
  • Yu. E. Karpeshina. Zero-range model of p-scattering by a potential well. In Spectral theory and analysis, volume 214 of Oper. Theory Adv. Appl., pages 45–66. Birkhauser/Springer Basel AG, Basel, 2011.
  • Chan-Gyun Kim and James R. Ward. Nonresonance for a one-dimensional p-Laplacian with strong singularity. Appl. Math. Lett., 24(8):1400–1404, 2011.
  • Ian Knowles and Mary A. LaRussa. Conditional well-posedness for an elliptic inverse problem. SIAM J. Appl. Math., 71(4):952–971, 2011.
  • Junfang Li and Xiangjin Xu. Differential Harnack inequalities on Riemannian manifolds I: linear heat equation. Adv. Math., 226(5):4456–4491, 2011.
  • N. Mavinga and M. N. Nkashama. Strong full bounded solutions of nonlinear parabolic equa- tions with nonlinear boundary conditions. Nonlinear Anal., 74(15):5171–5188, 2011.
  • Gabor Moussong and Nandor Simanyi. Circle decompositions of surfaces. Topology Appl., 158(3):392–396, 2011.
  • Roger Nichols and Gunter Stolz. Spectral properties of the discrete random displacement model. J. Spectr. Theory, 1(2):123–153, 2011.
  • Lex G. Oversteegen and Kirsten I. S. Valkenburg. Characterizing isotopic continua in the sphere. Proc. Amer. Math. Soc., 139(4):1495–1510, 2011.
  • Yoshimi Saito and Tomio Umeda. Eigenfunctions at the threshold energies of magnetic Dirac operators. Rev. Math. Phys., 23(2):155–178, 2011.
  • Gunter Stolz. An introduction to the mathematics of Anderson localization. In Entropy and the quantum II, volume 552 of Contemp. Math., pages 71–108. Amer. Math. Soc., Providence, RI, 2011.
  • Gunter Stolz and Micael Loss. Localization for the random displacement model. In P. Exner, editor, Mathematical Results in Quantum Physics. Proceedings of the QMath 11 Conference. World Scientific, 2011.
  • Yu. Stoyan, A. Pankratov, T. Romanova, and N. Chernov. Pseudo-normalized phi-functions for two-dimensional phi-objects. Doklady Akademii Nauk Ukrainy, 6:29–34, 2011.

2000-2010