Takayuki Watanabe (Watanabe=渡邉 Takayuki=天鵬)
Senior Assistant Professor（講師）
he/him
E-mail: takawatanabe (at) fsc.chubu.ac.jp
Department of Mathematical and Physical Sciences, College of Science and Engineering, Chubu University
1200 Matsumoto-cho, Kasugai-shi, 487-8501, Aichi, Japan
(Additional Affiliation) Academy of Emerging Sciences and Center for Mathematical Science and Artificial Intelligence
Links: MathSciNet, arXiv author page, ORCID
More information is available on researchmap.
任期がリフレッシュされました
Random Dynamical Systems, Complex Analysis, Ergodic Theory, Random Algorithm, Topology of Fractals
・``On the topology of the limit set of non-autonomous IFS"
with Yuto Nakajima.
You can see the video and the slides of the talk based on this paper. See also the graphical abstract.
・``Bowen's formula for a rational graph-directed Markov system"
with Tadashi Arimitsu, Johannes Jaerisch, Hiroki Sumi.
6. ``Schröder’s theorem for backtracking new Q-Newton’s method"
with John Erik Fornæss, Mi Hu, Tuyen Trung Truong.
Complex Analysis and its Synergies 12 (2026), 26.
5. ``Topology of slices through the Sierpiński tetrahedron"
with Yuto Nakajima.
Chaos, Solitons & Fractals Volume 209 (2026), Part 1, 118353.
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 (2024), 112.
3. ``On the stochastic bifurcations regarding random iterations of polynomials of the form $z^{2} + c_{n}$".
Ergodic Theory and Dynamical Systems 44 (2024) No. 11, 3358--3384.
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.