Alexander Tikhomirov
- Chief Research Fellow:Faculty of Computer Science / AI and Digital Science Institute / International Laboratory of Stochastic Algorithms and High-Dimensional Inference
- Alexander Tikhomirov has been at HSE University since 2024.
Education, Degrees and Academic Titles
- 1998Professor
- 1996
Doctor of Sciences*
- 1973
Degree
Zhdanov Leningrad State University
* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Publications12
- Article Naumov A., Tikhomirov A., Гётце Ф. Local Semicircle Law Under Fourth Moment Condition // Journal of Theoretical Probability. 2020. Vol. 33. No. 3. P. 1327-1362. doi
- Article Гётце Ф., Naumov A., Tikhomirov A. Local laws for non-Hermitian random matrices and their products // Random Matrices-Theory and Applications. 2020. Vol. 9. No. 4. P. 2150004. doi
- Article Götze F., Naumov A., Tikhomirov A. Moment Inequalities for Linear and Nonlinear Statistics // Theory of Probability and Its Applications. 2020. Vol. 65. No. 1. P. 1-16. doi
- Article Naumov A., Tikhomirov A., Гётце Ф. On Optimal Bounds in the Local Semicircle Law under Four Moment Condition / Пер. с рус. // Doklady Mathematics. 2019. Vol. 99. No. 1. P. 40-43. doi
- Article Naumov A., Tikhomirov A., Goetze F. Local Semicircle Law under Moment Conditions: The Stieltjes Transform, Rigidity, and Delocalization // Theory of Probability and Its Applications. 2018. Vol. 62. No. 1. P. 58-83. doi
- Article Goetze F., Naumov A.A., Tikhomirov A. On the local semicircular law for Wigner ensembles // Bernoulli: a journal of mathematical statistics and probability. 2018. Vol. 24. No. 3. P. 2358-2400. doi
- Article Goetze F., Naumov A.A., Tikhomirov A. Distribution of linear statistics of singular values of the product of random matrices // Bernoulli: a journal of mathematical statistics and probability. 2017. Vol. 23. No. 4B. P. 3067-3113. doi
- Article Goetze F., Naumov A., Tikhomirov A. Local Laws for Non-Hermitian Random Matrices // Doklady Mathematics. 2017. Vol. 96. No. 3. P. 558-560. doi
- Article Naumov A., Гётце Ф., Tikhomirov A. Local Semicircle Law under Weak Moment Conditions / Пер. с рус. // Doklady Mathematics. 2016. Vol. 93. No. 3. P. 248-250. doi
- Article Naumov A., Tikhomirov A., Гётце Ф. LIMIT THEOREMS FOR TWO CLASSES OF RANDOM MATRICES WITH DEPENDENT ENTRIES / Пер. с рус. // Theory Probability and its Applications. 2015. Vol. 59. No. 1. P. 23-39. doi
- Article Naumov A., Tikhomirov A., Гётце Ф. ON A GENERALIZATION OF THE ELLIPTIC LAW FOR RANDOM MATRICES // Acta Physica Polonica, Series B.. 2015. Vol. 46. No. 9. P. 1737-1745. doi
- Article Goetze F., Naumov A.A., Tikhomirov A. On minimal singular values of random matrices with correlated entries // Random Matrices-Theory and Applications. 2015. Vol. 4. No. 2 doi
Editorial board membership
2018: Member of the Editorial Board, Random Matrices-Theory and Applications.