Name: Takayuki Watanabe (渡邉 天鵬)
Title: Designated Assistant Professor
Belong to: Chubu University Academy of Emerging Sciences and Center for Mathematical Science and Artificial Intelligence
Address: 1200 Matsumoto-cho, Kasugai-shi, 487-8501, Aichi, Japan
E-mail: takawatanabe (at) isc.chubu.ac.jp
Links: MathSciNet, arXiv author page, ORCID
More information is available on researchmap.
Research Interests
Random Dynamical Systems
Complex Analysis
Ergodic Theory
Random Algorithm
Pre-prints
・``Bowen's formula for a rational graph-directed Markov system"
with Tadashi Arimitsu, Johannes Jaerisch, Hiroki Sumi.
・``Backtracking New Q-Newton's method, Schröder's theorem, and Linear Conjugacy"
with John Erik Fornæss, Mi Hu, Tuyen Trung Truong.
Papers
4. ``Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic Root Finding"
with John Erik Fornæss, Mi Hu, Tuyen Trung Truong.
Complex Analysis and Operator Theory 18, 112 (2024).
3. ``On the stochastic bifurcations regarding random iterations of polynomials of the form $z^{2} + c_{n}$".
Ergodic Theory and Dynamical Systems. Published online 2024:1-27. doi:10.1017/etds.2024.17
2. ``Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy''
with Hiroki Sumi.
Nonlinearity 35 (2022) No. 4, 1857--1875.
See also ``Erratum: Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy (2022 Nonlinearity 35 1857)".
1. ``Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity''
with Hiroki Sumi.