Positions

Selected Publications

Academic Article

Year Title Altmetric
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
2016 SMURC: High-Dimension Small-Sample Multivariate Regression With Covariance Estimation..  IEEE Journal of Biomedical and Health Informatics.  21:573-581. 2016
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 Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two 2014
2014 Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators.  Helvetica Physica Acta.  15:263-312. 2014
2014 Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators.  Helvetica Physica Acta.  15:263-312. 2014
2014 Probabilistic non-negative matrix factorization: theory and application to microarray data analysis..  Journal of Bioinformatics and Computational Biology.  12:1450001. 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 Stability for the inverse resonance problem for the CMV operator 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 On the inverse resonance problemfor Jacobi operators-uniqueness and stability.  Journal d'Analyse Mathématique.  117:221-247. 2012
2012 Methods for Optimal Intervention in Gene Regulatory Networks..  IEEE Signal Processing Magazine.  29:158-163. 2012
2011 Inverse perturbation for optimal intervention in gene regulatory networks..  Computer applications in the biosciences : CABIOS.  27:103-110. 2011
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.  2011:2422-2425. 2011
2010 On the inverse resonance problem for schrödinger operators.  Communications in Mathematical Physics.  295:465-484. 2010
2010 The Krein-von Neumann extension and its connection to an abstract buckling problem.  Mathematical News / Mathematische Nachrichten.  283:165-179. 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.  Dynamics of Partial Differential Equations (DPDE).  5:211-240. 2008
2007 Homogenization of the periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum.  Journal of Mathematical Sciences.  143:3004-3009. 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.  Journal of Mathematical Sciences.  129:4087-4109. 2005
2005 The Schrödinger operator in a periodic waveguide on a plane and quasiconformal mappings.  Journal of Mathematical Sciences.  127:1936-1956. 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.  Matematicheskie Zametki / Mathematical Notes.  72:261-270. 2002
1999 Halt-Infinite Lowertriangular Matrix.  Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya.  113-114. 1999

Chapter

Year Title Altmetric
2013 Intervention and Control of Gene Regulatory Networks: Theoretical Framework and Application to Human Melanoma Gene Regulation.  215-238. 2013

Education And Training

  • Doctor of Philosophy in Mathematics, Saint-Petersburg State University

    • Full Name

  • Roman Shterenberg

    • Blazerid

  • shterenb