Toru Sera (世良 透)
ORCID: https://orcid.org/0000-0003-3288-2581
researchmap: https://researchmap.jp/toru_sera?lang=ja
Assistant Professor
Department of Mathematics, Graduate School of Science, Osaka University
Toyonaka, Osaka 560 - 0043, JAPAN
E-mail: sera ``at'' math.sci.osaka-u.ac.jp
Research Interests: Probability theory, Diffusion processes, Lévy processes, Infinite ergodic theory, Intermittent interval map, Random dynamical systems
Preprints
Toru Sera. Large deviations for occupation and waiting times of infinite ergodic transformations. [arXiv]
Jon. Aaronson and Toru Sera. Generalized uniform laws for tied-down occupation times of infinite ergodic transformations. [arXiv]
Jon. Aaronson and Toru Sera. Functional limits for "tied down" occupation time processes of infinite ergodic transformations. [arXiv]
Refereed Papers
[5] Yu Ito, Toru Sera and Kouji Yano. Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past. J. Theor. Probab., 36, 1368--1399 (2023). [arXiv]
[4] Jon. Aaronson and Toru Sera. Tied-down occupation times of infinite ergodic transformations. Isr. J. Math., 251, 3--47 (2022). [arXiv]
[3] Takuma Akimoto, Toru Sera, Kosuke Yamato and Kouji Yano. Aging arcsine law in Brownian motion and its generalization. Phys. Rev. E, 102 (3), 032103, 7pp, 2020. [arXiv]
[2] Toru Sera. Functional limit theorem for occupation time processes of intermittent maps. Nonlinearity, 33 (3), 1183--1217 (2020). [arXiv]
[1] Toru Sera and Kouji Yano. Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations. Trans. Amer. Math. Soc., 372 (5), 3191--3209 (2019). [arXiv]