Research theme for competitive and other funds (5):
2022 - 2026 Long-term behavior of stochastic models on lattices with spatio-temporal interactions
2019 - 2024 Stochastic analysis for phase transition in particle systems with an infinite number of particles
2019 - 2023 時間的・空間的に相互作用をもつ格子確率モデルに関する精密な極限定理
2016 - 2019 Limit theorems for stochastic models on lattices with spatio-temporal interactions
2009 - 2011 Development of probability theory on randomly grown networks
Papers (26):
Andrea Collevecchio, Satoshi Ikezawa, Masato Takei. Law of the iterated logarithm for 1-D once-reinforced random walks. Electronic Communications in Probability. 2025. 30. 22. 1-9
Rahul Roy, Masato Takei, Hideki Tanemura. The elephant random walk in the triangular array setting. Journal of Applied Probability. 2025
Rahul Roy, Masato Takei, Hideki Tanemura. How often can two independent elephant random walks on Z meet?. Proceedings of the Japan Academy, Series A, Mathematical Sciences. 2024. 100. 10. 57-59
Rahul Roy, Masato Takei, Hideki Tanemura. Phase transitions for a unidirectional elephant random walk with a power law memory. Electronic Communications in Probability. 2024. 29. 78. 1-12
Masafumi Hayashi, So Oshiro, Masato Takei. Rate of moment convergence in the central limit theorem for the elephant random walk. Journal of Statistical Mechanics: Theory and Experiment. 2023. 2023. 2. 023202-023202
Elephant random walkの優臨界相における極限定理
(慶應確率論ワークショップ2019 2019)
Limiting measures for a class of one-dimensional probabilistic cellular automata
(7th Monash-Ritsumeikan Symposium on Probability and Related Fields 2018)
Limiting behavior of reinforced random walks on trees
(RIMS共同研究(グループ型) "Recent Progress in Ergodic Theory" 2018)
Topics on a class of probabilistic cellular automata related to percolation
(RIMS共同研究(グループ型) "Recent Progress in Ergodic Theory" 2018)
On the width of the lowest horizontal crossing in 2D-percolation
(研究集会"Topics in Probability Theory" 2018)