The Entropy of Gibbs Measures on Sofic Groups. A Alpeev Journal of Mathematical Sciences 215 (6), 2016 | 16 | 2016 |
Krieger’s finite generator theorem for actions of countable groups III A Alpeev, B Seward Ergodic Theory and Dynamical Systems 41 (10), 2881-2917, 2021 | 15 | 2021 |
Krieger’s finite generator theorem for ergodic actions of countable groups III A Alpeev, B Seward En préparation 12, 2016 | 11 | 2016 |
Predictability, topological entropy, and invariant random orders A Alpeev, T Meyerovitch, S Ryu Proceedings of the American Mathematical Society 149 (4), 1443-1457, 2021 | 6 | 2021 |
Lamplighters over non-amenable groups are not strongly Ulam stable A Alpeev arXiv preprint arXiv:2009.11738, 2020 | 6 | 2020 |
On Pinsker factors for Rokhlin entropy A Alpeev arXiv preprint arXiv:1502.06036, 2015 | 6 | 2015 |
Examples of measures with trivial left and non-trivial right random walk tail boundary A Alpeev arXiv preprint arXiv:2105.11359, 2021 | 4 | 2021 |
Random ordering formula for sofic and Rokhlin entropy of Gibbs measures A Alpeev arXiv preprint arXiv:1705.08559, 2017 | 4 | 2017 |
Kolmogorov complexity and the garden of Eden theorem A Alpeev arXiv preprint arXiv:1212.1901, 2012 | 3 | 2012 |
Secret sharing on the Poisson-Furstenberg boundary I A Alpeev arXiv preprint arXiv:2406.01580, 2024 | 2 | 2024 |
Announce of an Entropy Formula for a Class of Actions Coming From Gibbs Measures AV Alpeev Journal of Mathematical Sciences 224, 171-175, 2017 | 2* | 2017 |
The invariant random order extension property is equivalent to amenability A Alpeev arXiv preprint arXiv:2206.14177, 2022 | 1 | 2022 |
An Announce of Results Linking Kolmogorov Complexity to Entropy for Amenable Group Actions. AV Alpeev Journal of Mathematical Sciences 240 (5), 503-507, 2019 | 1 | 2019 |
Kolmogorov complexity and entropy of amenable group actions A Alpeev arXiv preprint arXiv:1809.01634, 2018 | 1 | 2018 |
Weak containment and maximal sofic approximations A Alpeev arXiv preprint arXiv:1706.01864, 2017 | 1 | 2017 |
Non-C*-simple groups admit non-free actions on their Poisson boundaries A Alpeev arXiv preprint arXiv:2409.02013, 2024 | | 2024 |
Entropy inequalities and exponential decay of correlations for unique Gibbs measures on trees A Alpeev arXiv preprint arXiv:1904.12352, 2019 | | 2019 |
An announce of results linking Kolmogorov complexity to entropy for amenable group actions AV Alpeev Записки научных семинаров ПОМИ 468 (0), 7-12, 2018 | | 2018 |
Some results relating Kolmogorov complexity and entropy of amenable group actions. A Alpeev CoRR, 2018 | | 2018 |
Sofic entropy A Alpeev | | |