Prof Ilya Goldsheid
Professor of Probability Theory
School of Mathematical Sciences
Queen Mary University of London
Publications

Publications of specific relevance to the Centre for Probability, Statistics and Data Science
2023
Goldsheid I and Sodin A (2023).
Sets of non-Lyapunov behaviour for scalar and matrix Schrödinger cocycles. International Mathematics Research Papers,
Oxford University Press 01-09-20232022
Goldsheid I and Sodin S (2022).
Lower Bounds on Anderson-Localised Eigenfunctions on a Strip. Communications in Mathematical Physics,
Springer Nature vol. 392 (1), 125-144.
26-03-20222021
Goldsheid I (2021).
Exponential Growth of Products of Non-Stationary Markov-Dependent Matrices. International Mathematics Research Notices,
Oxford University Press (OUP) 12-10-2021
Aizenman A, Vainberg BR,
Goldsheid IY, Jitomirskaya SY, Pastur LA, Klein A, Konakov VD, Cranston M, Simon B and Jacšić V (2021).
Stanislav Alekseevich Molchanov. Russian Mathematical Surveys,
Steklov Mathematical Institute vol. 76 (5), 943-949.
01-10-2021
Aizenman M, Vainberg BR, Gol'dsheid IY, Zhitomirskaya SY, Pastur LA, Klein A, Konakov VD, Cranston M, Simon B and Jaksic V (2021).
Stanislav Alekseevich Molchanov (on his 80th birthday): Станислав Алексеевич Молчанов (к 80-летию со дня рождения). Russian Mathematical Surveys,
Steklov Mathematical Institute vol. 76 (5(461)), 205-211.
01-01-20212020

Dolgopyat D and
Goldsheid I (2020).
Constructive approach to limit theorems for recurrent diffusive random walks on a strip. Asymptotic Analysis,
IOS Press 01-06-2020
Dolgopyat D and
Goldsheid I (2020).
LOCAL LIMIT THEOREMS FOR RANDOM WALKS IN A RANDOM ENVIRONMENT ON A STRIP. Pure and Applied Functional Analysis vol. 5 (6), 1297-1318.
01-01-20202019

Dolgopyat D and
GOLDSHEID I (2019).
Invariant measure for random walks on ergodic environments on a strip. Annals of Probability 04-07-20192018
GOLDSHEID I and SODIN A (2018).
Real eigenvalues in the non-Hermitian Anderson model. Annals of Applied Probability,
Institute of Mathematical Statistics vol. 28 (5), 3075-3093.
28-08-2018
Dolgopyat D and
GOLDSHEID I (2018).
Central Limit Theorem for recurrent random walks on a strip with bounded potential. Nonlinearity,
IOP Publishing 06-06-20182013

Dolgopyat D and
Goldsheid I (2013).
Limit theorems for random walks on a strip in subdiffusive regimes. NONLINEARITY vol. 26 (6), 1743-1782.
01-01-2013
Dolgopyat D and
Goldsheid I (2013).
Local Limit Theorems for random walks in a 1D random environment. Archiv der Mathematik,
Springer Verlag vol. 101 (2), 191-200.
01-01-20132012

DOLGOPYAT D and
GOLDSHEID I (2012).
Quenched Limit Theorems for Nearest Neighbour Random Walks in 1D Random Environment. Communications in Mathematical Physics vol. 315 (1), 241-277.
10-09-20122008
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 vol. 141 (3-4), 471-511.
01-07-2008
Bolthausen E and
Goldsheid I (2008).
Lingering random walks in random environment on a strip. COMMUN MATH PHYS vol. 278 (1), 253-288.
01-02-20082007
GOLDSHEID I (2007).
Simple Transient Random Walks in One-dimensional Random Environment: the Central Limit Theorem. Probability Theory and Related Fields vol. 139 (1-2), 41-64.
01-09-2007
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 vol. xxx, 1-41.
01-08-20072005
Goldsheid IY and
Khoruzhenko BA (2005).
The Thouless formula for random non-Hermitian Jacobi matrices. ISRAEL J MATH vol. 148, 331-346.
01-01-20052003
Goldsheid IY and
Khoruzhenko BA (2003).
Regular Spacings of complex eigenvalues in the one-dimensional non-Hermitian Anderson model. COMMUN MATH PHYS vol. 238 (3), 505-524.
01-07-20031998
Goldsheid IY and Khoruzhenko BA (1998).
Distribution of Eigenvalues in Non-Hermitian Anderson Models. Physical Review Letters,
American Physical Society (APS) vol. 80 (13), 2897-2900.
30-03-1998