Prof Ilya Goldsheid

Goldsheid I and Sodin A (2023). Sets of non-Lyapunov behaviour for scalar and matrix Schrödinger cocycles. International Mathematics Research Papers, Oxford University Press 
01-09-2023

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.  
26-03-2022

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.  
01-01-2021

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.  
01-01-2020

Dolgopyat D and GOLDSHEID I (2019). Invariant measure for random walks on ergodic environments on a strip. Annals of Probability 
04-07-2019

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 
06-06-2018

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.  
01-01-2013

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.  
10-09-2012

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.  
01-02-2008

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.  
01-08-2007

Goldsheid IY and Khoruzhenko BA (2005). The Thouless formula for random non-Hermitian Jacobi matrices. ISRAEL J MATH vol. 148, 331-346.  
01-01-2005

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.  
01-07-2003

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