Department of Mathematics, Kyoto University, Kyoto 606-8502 JAPAN

E-mail: rtanaka AT math.kyoto-u.ac.jp

Research interests: Geometry, probability and analysis on groups. Photo.

Cutoff for congestion dynamics and related generalized exclusion processes,
preprint. arXiv:2502.06071
demo

Noise stability on hyperbolic groups, with Timothée Bénard,
preprint. arXiv:2501.08487

Dimension conservation of harmonic measures in products of hyperbolic spaces,
preprint. arXiv:2403.01661

Noise sensitivity and stability on groups,
preprint. arXiv:2403.01658
demo

Non-noise sensitivity for word hyperbolic groups,
Annales de la Faculte des Sciences de Toulouse, to appear. link arXiv:2211.03951

Invariant measures of the topological flow and measures at infinity on hyperbolic groups, with Stephen Cantrell,
Journal of Modern Dynamics, Vol. 20, (2024), 215-274. link arxiv:2206.02282

Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat-Tits buildings, with Yusuke Aikawa and Takuya Yamauchi,
Canadian Journal of Mathematics, Vol. 76 (6), (2024), 1891–1916 link arXiv:2201.04293

The Manhattan curve, ergodic theory of topological flows and rigidity, with Stephen Cantrell,
Geometry and Topology, to appear. link arXiv:2104.13451

Glauber-Exclusion dynamics: rapid mixing regime, with Kenkichi Tsunoda,
Electronic Journal of Probability, Vol. 27, (2022), 1-26. link arXiv:2011.13158
demo

Topological flows for hyperbolic groups,
Ergodic Theory and Dynamical Systems, 41, (2021), no.11, pp.3474-3520. link arXiv:1912.03808

Uniformizing surfaces via discrete harmonic maps, with Toru Kajigaya,
Annales Henri Lebesgue, 4, (2021), 1767-1807. link arXiv:1905.05427

Cutoff for product replacement on finite groups, with Yuval Peres and Alex Zhai,
Probability Theory and Related Fields, 177, (2020), no.3-4, 823–853. link arXiv:1805.05025

Solitons in one-dimensional mechanical linkage, with Koji Sato,
Physical Review E, 98, (2018), 013001. link arXiv:1804.06007

Random walks on the discrete affine group, with Jérémie Brieussel and Tianyi Zheng,
Groups, Geometry, and Dynamics, 15, (2021), no.3, 935-963. link arXiv:1703.07741

Dimension of harmonic measures in hyperbolic spaces,
Ergodic Theory and Dynamical Systems, 39, (2019), no.2, 474-499. link arXiv:1605.03874

Random Dirichlet series arising from records, with Ron Peled, Yuval Peres and Jim Pitman,
Journal of the Mathematical Society of Japan, special issue for Kiyosi Itô, 67, (2015), no.4, 1705-1723. link arXiv:1505.06428

Hausdorff spectrum of harmonic measure,
Ergodic Theory and Dynamical Systems, 37, (2017), no.1, 277-307. link arXiv:1411.2312

Discrete random walks on the group Sol, with Jérémie Brieussel,
Israel Journal of Mathematics, 208, (2015), no.1, 291-321. link arXiv:1306.6180

A note on a local ergodic theorem for an infinite tower of coverings,
Springer Proceedings in Mathematics and Statistics, 166, (2016), 101-116. link arXiv:1501.00521

Hydrodynamic limit for weakly asymmetric simple exclusion processes in crystal lattices,
Communications in Mathematical Physics, 315, (2012), no.3, 603-641. link arXiv:1105.6220

Large deviation on a covering graph with group of polynomial growth,
Mathematische Zeitschrift, 267, (2011), no.3-4, 803-833. link