Prof Ilya Goldsheid
Professor of Probability Theory
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Publications
Publications of specific relevance to the Centre for Probability, Statistics and Data Science2023
Sets of non-Lyapunov behaviour for scalar and matrix Schrödinger cocyclesGoldsheid I and Sodin A
International Mathematics Research Papers, Oxford University Press
01-09-2023
2022
Lower Bounds on Anderson-Localised Eigenfunctions on a StripGoldsheid I and Sodin S
Communications in Mathematical Physics, Springer Nature vol. 392 (1), 125-144.
26-03-2022
2021
Exponential Growth of Products of Non-Stationary Markov-Dependent MatricesGoldsheid I
International Mathematics Research Notices, Oxford University Press (OUP)
12-10-2021
Stanislav Alekseevich MolchanovAizenman A, Vainberg BR, Goldsheid IY, Jitomirskaya SY, Pastur LA, Klein A, Konakov VD, Cranston M, Simon B and Jacšić V
Russian Mathematical Surveys, Steklov Mathematical Institute vol. 76 (5), 943-949.
01-10-2021
Stanislav Alekseevich Molchanov (on his 80th birthday): Станислав Алексеевич Молчанов (к 80-летию со дня рождения)Aizenman M, Vainberg BR, Gol'dsheid IY, Zhitomirskaya SY, Pastur LA, Klein A, Konakov VD, Cranston M, Simon B and Jaksic V
Russian Mathematical Surveys, Steklov Mathematical Institute vol. 76 (5(461)), 205-211.
01-01-2021
2020
Constructive approach to limit theorems for recurrent diffusive random walks on a strip.Dolgopyat D and Goldsheid I
Asymptotic Analysis, Ios Press
01-06-2020
LOCAL LIMIT THEOREMS FOR RANDOM WALKS IN A RANDOM ENVIRONMENT ON A STRIPDolgopyat D and Goldsheid I
Pure and Applied Functional Analysis vol. 5 (6), 1297-1318.
01-01-2020
2019
Invariant measure for random walks on ergodic environments on a stripDolgopyat D and GOLDSHEID I
Annals of Probability
04-07-2019
2018
Real eigenvalues in the non-Hermitian Anderson modelGOLDSHEID I and SODIN A
Annals of Applied Probability, Institute of Mathematical Statistics vol. 28 (5), 3075-3093.
28-08-2018
Central Limit Theorem for recurrent random walks on a strip with bounded potentialDolgopyat D and GOLDSHEID I
Nonlinearity, Iop Publishing
06-06-2018
2013
Limit theorems for random walks on a strip in subdiffusive regimesDolgopyat D and Goldsheid I
Nonlinearity vol. 26 (6), 1743-1782.
01-01-2013
Local Limit Theorems for random walks in a 1D random environmentDolgopyat D and Goldsheid I
Archiv Der Mathematik, Springer Verlag vol. 101 (2), 191-200.
01-01-2013
2012
Quenched Limit Theorems for Nearest Neighbour Random Walks in 1D Random EnvironmentDOLGOPYAT D and GOLDSHEID I
Communications in Mathematical Physics vol. 315 (1), 241-277.
10-09-2012
2008
Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a stripGoldsheid IY
Probability Theory and Related Fields vol. 141 (3-4), 471-511.
01-07-2008
Lingering random walks in random environment on a stripBolthausen E and Goldsheid I
Commun Math Phys vol. 278 (1), 253-288.
01-02-2008
2007
Simple Transient Random Walks in One-dimensional Random Environment: the Central Limit TheoremGOLDSHEID I
Probability Theory and Related Fields vol. 139 (1-2), 41-64.
01-09-2007
Linear and sub-linear growth and the CLT for hitting times of a random walk in random environment on a stripGOLDSHEID I
Probability Theory and Related Fields vol. xxx, 1-41.
01-08-2007
2005
The Thouless formula for random non-Hermitian Jacobi matricesGoldsheid IY and Khoruzhenko BA
Israel J Math vol. 148, 331-346.
01-01-2005
2003
Regular Spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson modelGoldsheid IY and Khoruzhenko BA
Commun Math Phys vol. 238 (3), 505-524.
01-07-2003
1998
Distribution of Eigenvalues in Non-Hermitian Anderson ModelsGoldsheid IY and Khoruzhenko BA
Physical Review Letters, American Physical Society (Aps) vol. 80 (13), 2897-2900.
30-03-1998