Professor Ilya GoldsheidProfessor of Probability TheoryEmail: i.goldsheid@qmul.ac.ukTelephone: +44 (0)20 7882 5473Room Number: Mathematical Sciences Building, Room: MB-123Website: http://www.maths.qmul.ac.uk/~igOffice Hours: By appointmentPublicationsResearchPublications Goldsheid I, Sodin A (2023). Sets of non-Lyapunov behaviour for scalar and matrix Schrödinger cocycles International Mathematics Research Papers nameOfConference. 10.1093/imrn/rnad206 https://qmro.qmul.ac.uk/xmlui/handle/123456789/90582 Goldsheid I, Sodin S (2022). Lower Bounds on Anderson-Localised Eigenfunctions on a Strip Communications in Mathematical Physics nameOfConference. 10.1007/s00220-022-04346-5 https://qmro.qmul.ac.uk/xmlui/handle/123456789/76808 Goldsheid I (publicationYear). Exponential Growth of Products of Non-Stationary Markov-Dependent Matrices International Mathematics Research Notices nameOfConference. 10.1093/imrn/rnab269 https://qmro.qmul.ac.uk/xmlui/handle/123456789/75053 Aizenman A, Vainberg BR, Goldsheid IY et al. (2021). Stanislav Alekseevich Molchanov Russian Mathematical Surveys nameOfConference. 10.1070/rm10024 qmroHref Aizenman M, Vainberg BR, Gol'dsheid IY et al. (2021). Stanislav Alekseevich Molchanov (on his 80th birthday): Станислав Алексеевич Молчанов (к 80-летию со дня рождения) Russian Mathematical Surveys nameOfConference. 10.4213/rm10024 qmroHref Dolgopyat D, Goldsheid I (2020). Constructive approach to limit theorems for recurrent diffusive random walks on a strip. Asymptotic Analysis nameOfConference. 10.3233/ASY-201619 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/64919 Dolgopyat D, Goldsheid I (2020). LOCAL LIMIT THEOREMS FOR RANDOM WALKS IN A RANDOM ENVIRONMENT ON A STRIP Pure and Applied Functional Analysis nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/61299 Dolgopyat D, GOLDSHEID I (2019). Invariant measure for random walks on ergodic environments on a strip Annals of Probability nameOfConference. 10.1214/18-AOP1313 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/53364 GOLDSHEID I, SODIN A (2018). Real eigenvalues in the non-Hermitian Anderson model Annals of Applied Probability nameOfConference. 10.1214/18-AAP1383 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/36413 Dolgopyat D, GOLDSHEID I (2018). Central Limit Theorem for recurrent random walks on a strip with bounded potential Nonlinearity nameOfConference. 10.1088/1361-6544/aab89b https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/40464 Dolgopyat D, Goldsheid I (2013). Limit theorems for random walks on a strip in subdiffusive regimes NONLINEARITY nameOfConference. 10.1088/0951-7715/26/6/1743 qmroHref Dolgopyat D, Goldsheid I (2013). Local Limit Theorems for random walks in a 1D random environment Archiv der Mathematik nameOfConference. 10.1007/s00013-013-0547-7 qmroHref DOLGOPYAT D, GOLDSHEID I (2012). Quenched Limit Theorems for Nearest Neighbour Random Walks in 1D Random Environment Communications in Mathematical Physics nameOfConference. 10.1007/s00220-012-1539-3 qmroHref Goldsheid IY (2008). Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip Probability Theory and Related Fields nameOfConference. 10.1007/s00440-007-0091-0 qmroHref Bolthausen E, Goldsheid I (2008). Lingering random walks in random environment on a strip COMMUN MATH PHYS nameOfConference. 10.1007/s00220-007-0390-4 qmroHref GOLDSHEID I (2007). Simple Transient Random Walks in One-dimensional Random Environment: the Central Limit Theorem Probability Theory and Related Fields nameOfConference. 10.1007/s00440-006-0038-x qmroHref GOLDSHEID I (2007). Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a strip Probability Theory and Related Fields nameOfConference. 10.1007/s00440-007-0091-0 qmroHref Goldsheid I, KHORUZHENKO B (2005). The Thouless formula for random non-Hermitian Jacobi matrices Israel Journal of Mathematics nameOfConference. 10.1007/BF02775442 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/13485 GOLDSHEID I, Khoruzhenko BA (2003). Regular spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson model Communications in Mathematical Physics nameOfConference. 10.1007/s00220-003-0854-0 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/13477 Goldsheid IY, Khoruzhenko BA (1998). Distribution of Eigenvalues in Non-Hermitian Anderson Models Physical Review Letters nameOfConference. 10.1103/physrevlett.80.2897 qmroHref