Publications & preprints(出版物・原稿)
Preprints(プレプリント)
T. Hasebe, I. Hotta and T. Murayama, Additive processes on the real line and Loewner chains. arXiv:2412.18742v1
T. Hasebe, I. Hotta and T. Murayama, Topology and convergence on the space of measure-valued functions. arXiv:2301.04361v2
Refereed papers(論文)
T. Murayama, Loewner chains and evolution families on parallel slit half-planes, J. Math. Anal. Appl. 526 (2023), Paper No. 127180, 51 pp. https://doi.org/10.1016/j.jmaa.2023.127180 [arXiv:2002.03359]
T. Murayama, On the continuity of half-plane capacity with respect to Carathéodory convergence, in: Dirichlet Forms and Related Topics: In Honor of Masatoshi Fukushima's Beiju, IWDFRT 2022, Osaka, Japan, August 22-26, pp.379-399, Springer Proceedings in Mathematics & Statistics 394, Springer Nature Singapore Pte Ltd., Singapore, 2022. [arXiv:2106.12717]
T. Amaba, R. Friedrich and T. Murayama, Univalence and holomorphic extension of the solution to ω-controlled Loewner-Kufarev equations, J. Differential Equations 269 (2020), 2697-2704. https://doi.org/10.1016/j.jde.2020.02.011 [arXiv:1909.13666]
T. Murayama, On the slit motion obeying chordal Komatu-Loewner equation with finite explosion time, J. Evol. Equ. 20 (2020), 233-255. https://doi.org/10.1007/s00028-019-00519-3 [arXiv:1902.06389]
T. Murayama, Chordal Komatu-Loewner equation for a family of continuously growing hulls, Stochastic Process. Appl. 129 (2019), 2968-2990. https://doi.org/10.1016/j.spa.2018.08.012 [arXiv:1803.00194]
Books(著書)
Z.-Q. Chen, M. Fukushima and T. Murayama, Stochastic Komatu-Loewner Evolutions, World Scientific Publishing Co. Pte. Ltd., 2023. https://doi.org/10.1142/13038
Expository articles, etc.(解説記事その他)
村山拓也,確率論と複素解析 ~SLE,Loewner方程式が見せる多様な側面~,「数理科学」2022年8月号,pp.55-62.