Roman Shterenberg

Roman Shterenberg
Professor

Professor (P), Mathematics , College of Arts and Sciences

Selected Publications

Academic Article

Year	Title	Altmetric
2019	Extended states for the schrodinger operator with quasi-periodic potential in dimension two. Memoirs of the American Mathematical Society. 258:1-152. 2019
2017	Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-Periodic Potential in Dimension Two. Communications in Mathematical Physics. 354:85-113. 2017
2017	Perturbation theory for spectral gap edges of 2D periodic Schrödinger operators. Journal of Functional Analysis. 273:444-470. 2017
2017	On the Convergence of Constrained Particle Filters. IEEE Signal Processing Letters. 24:858-862. 2017
2017	SMURC: High-Dimension Small-Sample Multivariate Regression with Covariance Estimation. IEEE Journal of Biomedical and Health Informatics. 21:573-581. 2017
2016	Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrödinger operators. Duke Mathematical Journal. 165:509-561. 2016
2015	Riemann-hilbert approach to the inverse problem for the schrödinger operator on the half-line. St. Petersburg Mathematical Journal. 26:1005-1017. 2015
2014	Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators 2014
2014	Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators 2014
2014	Probabilistic non-negative matrix factorization: Theory and application to microarray data analysis. Journal of Bioinformatics and Computational Biology. 12. 2014
2014	Scattering problem for the ordinary differential operator of order four on the half-line: I. Direct problem. St. Petersburg Mathematical Journal. 25:327-337. 2014
2013	Multiscale analysis in momentum space for quasi-periodic potential in dimension two. Journal of Mathematical Physics. 54. 2013
2013	Optimal perturbation control of general topology molecular networks. IEEE Transactions on Signal Processing. 61:1733-1742. 2013
2013	A Survey on the Krein-von Neumann extension, the corresponding abstract buckling problem, and Weyl-type spectral asymptotics for perturbed Krein Laplacians in nonsmooth domains 2013
2012	Extended states for polyharmonic operators with quasi-periodic potentials in dimension two. Journal of Mathematical Physics. 53. 2012
2012	Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators. Annals of Mathematics. 176:1039-1096. 2012
2012	Methods for optimal intervention in gene regulatory networks [Applications Corner] 2012
2012	On the inverse resonance problemfor Jacobi operators-uniqueness and stability 2012
2011	Robustness of inverse perturbation for discrete event control. Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference. 2422-2425. 2011
2011	Inverse perturbation for optimal intervention in gene regulatory networks. Bioinformatics. 27:103-110. 2011
2010	The Krein-von Neumann extension and its connection to an abstract buckling problem 2010
2010	On the inverse resonance problem for schrödinger operators. Communications in Mathematical Physics. 295:465-484. 2010
2009	Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrödinger operator. Inventiones Mathematicae. 176:275-323. 2009
2008	Relaxation enhancement by time-periodic flows. Indiana University Mathematics Journal. 57:2137-2152. 2008
2008	Blow up and regularity for fractal burgers equation 2008
2007	Homogenization of the periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum 2007
2006	Reflectionless potentials for an ordinary differential operator of order four. Inverse Problems. 22:135-153. 2006
2006	On the structure of the lower edge of the spectrum of the periodic magnetic schrÖdinger operator with small magnetic potential. St. Petersburg Mathematical Journal. 17:865-873. 2006
2005	Absolute continuity of spectra of two-dimensional periodic schrodinger operators with strongly subordinate magnetic potentials 2005
2005	The Schrödinger operator in a periodic waveguide on a plane and quasiconformal mappings 2005
2005	An example of a periodic magnetic schrÖdinger operator with degenerate lower edge of the spectrum. St. Petersburg Mathematical Journal. 16:417-422. 2005
2004	On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering. Documenta Mathematica. 9:57-77. 2004
2002	On the similarity of some differential operators to self-adjoint ones 2002
1999	Halt-Infinite Lowertriangular Matrix. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 113-114. 1999
	Stability for the inverse resonance problem for the CMV operator