Research theme for competitive and other funds (6)：
2022 - 2027 Analysis, geometry and their interplays on fractals and stochastic processes on them
2020 - 2024 離散群のポアソン境界と幾何解析
2018 - 2022 Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpoints
2017 - 2022 Geometry of discrete groups and its applications
2014 - 2018 Discrete geometric analysis on boundaries of graphs and groups
2012 - 2014 Discrete geometric analysis of the scaling limit and its applications
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Papers (20)：
Ryokichi Tanaka. Dimension conservation of harmonic measures in products of hyperbolic spaces. arXiv:2403.01661. 2024
Ryokichi Tanaka. Noise sensitivity and stability on groups. arXiv:2403.01658. 2024
Ryokichi Tanaka. Non-noise sensitivity for word hyperbolic groups. Annales de la Faculte des Sciences de Toulouse, to appear. arXiv:2211.03951. 2022
Stephen Cantrell, Ryokichi Tanaka. Invariant measures of the topological flow and measures at infinity on hyperbolic groups. Journal of Modern Dynamics, accepted. arxiv:2206.02282. 2022
Yusuke Aikawa, Ryokichi Tanaka, Takuya Yamauchi. Isogeny graphs on superspecial abelian varieties: eigenvalues and connection to Bruhat-Tits buildings. Canadian Journal of Mathematics, to apper. arXiv:2201.04293. 2022
