Research keywords (7):
stochastic analysis
, geometric function theory
, multiply connected domain
, Brownian motion with darning
, Komatu-Loewner equation
, SLE
, Schramm-Loewner evolution
Research theme for competitive and other funds (4):
2020 - 2025 New developments in stochastic analysis
2022 - 2024 SLEを拡張する共形不変確率場に対する横断的理論の構築
2021 - 2022 多重連結領域上のSLEと共形不変な確率場および臨界現象の解明
2019 - 2021 Loewner equation and SLE theory on multiply connected domains
Papers (7):
Takuya Murayama. Loewner chains and evolution families on parallel slit half-planes. Journal of Mathematical Analysis and Applications. 2023. 526
Takuya Murayama. On the continuity of half-plane capacity with respect to Carathéodory convergence. Springer Proceedings in Mathematics & Statistics. 2022. 379-399
Takuya Murayama. Loewner chains and evolution families on parallel slit half-planes. 2021
Takafumi Amaba, Roland Friedrich, Takuya Murayama. Univalence and holomorphic extension of the solution to ω-controlled Loewner-Kufarev equations. Journal of Differential Equations. 2020. 269. 3. 2697-2704
Takuya Murayama. On the slit motion obeying chordal Komatu-Loewner equation with finite explosion time. Journal of Evolution Equations. 2020. 20. 1. 233-255