TSUNODA KENKICHI
Organization
Faculty of Mathematics Division of Analysis Associate Professor
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Joint Graduate School of Mathematics for Innovation
（Concurrent）
Title
Associate Professor
Contact information
Profile
My research field is probability theory. In particular I am interested in problems related to so-called "Hydrodynamic limit", which is a certain type of space-time scaling limits. Hydrodynamic limit means a method which determines a macroscopic quantity of a microscopic system such as particles systems. To tackle a difficult problem related to Hydrodynamic limit, it is necessary to invoke results on functional analysis or partial differential equations, and to use specific arguments for particle systems and wide knowledge of probability theory. Hydrodynamic limit is formulated as Law of large numbers for a macroscopic quantity such as the number of particle systems or the current for a microscopic system. I am working on related Central limit theorem and Large deviation principle.
In recent years, my another interest is Random topology, which has arisen from the development of Topological data analysis in applied mathematics. I am working on this new research area with my probabilistic technique although this theme is not related to above Hydrodynamic limit deeply.
External link
Research Areas
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Natural Science / Basic analysis
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Natural Science / Basic mathematics
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Natural Science / Applied mathematics and statistics
Degree
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Ph.D(mathematical science)
Research History
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Kyushu University Faculty of Mathematics Department of Mathematical Science Associate Professor
2022.10 - Present
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特定国立研究開発法人理化学研究所 革新知能統合研究センター 数理解析チーム 客員研究員
2018.3 - 2022.3
Country：Japan
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Osaka University Assistant Professor
2017.10 - 2022.9
Country：Japan
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大阪大学理学研究科数学専攻助教 ２０１７年１０月〜２０２２年９月
Research Interests・Research Keywords
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Research theme：Probability Theory
Keyword：Probability Theory
Research period： 2024
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Research theme：Scaling limit for an interacting particle system, especially, large deviation principle.
Keyword：Probability theory, Interacting particle system, Hydrodynamic limit
Research period： 2022.10
Awards
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２０２３年度日本数学会賞建部賢弘賞特別賞
一般社団法人日本数学会 格子気体の流体力学極限および大偏差原理の研究
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The 2023 MSJ Takebe Katahiro Prize
Hydrodynamic limit and large deviation principle for lattice-gas
Papers
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Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision Reviewed
Patrick van Meurs, Kenkichi Tsunoda, Lu Xu
Electronic Journal of Probability 29 ( none ) 1 - 36 2024.1 （ ISSN:1083-6489 ）
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Large deviation principle for persistence diagrams of random cubical filtrations Reviewed
Shu Kanazawa, Yasuaki Hiraoka, Jun Miyanaga, Kenkichi Tsunoda
Journal of Applied and Computational Topology 8 ( 6 ) 1649 - 1700 2024.1 （ ISSN:2367-1726 eISSN:2367-1734 ）
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Motion by Mean Curvature from Glauber-Kawasaki Dynamics with Speed Change Reviewed
Tadahisa Funaki, Patrick van Meurs, Sunder Sethuraman, Kenkichi Tsunoda
Journal of Statistical Physics 190 ( 3 ) 2023.1 （ ISSN:0022-4715 eISSN:1572-9613 ）
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Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics Reviewed
Tadahisa Funaki, Patrick van Meurs, Sunder Sethuraman, Kenkichi Tsunoda
Ensaios Matemáticos 38 ( 8 ) 223 - 248 2023 （ eISSN:2175-0432 ）
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Glauber-Exclusion dynamics: rapid mixing regime Reviewed
Ryokichi Tanaka, Kenkichi Tsunoda
Electronic Journal of Probability 27 ( none ) 2022.1 （ ISSN:1083-6489 ）
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Exponentially slow mixing and hitting times of rare events for a reaction–diffusion model Reviewed
Kenkichi Tsunoda
Latin American Journal of Probability and Mathematical Statistics 19 ( 2 ) 1161 - 1184 2022 （ ISSN:1980-0436 ）
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Derivation of viscous Burgers equations from weakly asymmetric exclusion processes Reviewed
M. Jara, C. Landim, K. Tsunoda
57 ( 1 ) 169 - 194 2021.2
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Hydrostatic limit for exclusion process with slow boundary revisited Reviewed International journal
K. Tsunoda
B79 149 - 162 2020.1
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Motion by Mean Curvature from Glauber-Kawasaki Dynamics Reviewed
Tadahisa Funaki, Kenkichi Tsunoda
JOURNAL OF STATISTICAL PHYSICS 177 ( 2 ) 183 - 208 2019.10
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Static large deviations for a reaction–diffusion model Reviewed
J. Farfán, C. Landim, K. Tsunoda
174 ( 1-2 ) 49 - 101 2019.6
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Strong Law of Large Numbers for Betti Numbers in the Thermodynamic Regime Reviewed
Akshay Goel, Khanh Duy Trinh, Kenkichi Tsunoda
JOURNAL OF STATISTICAL PHYSICS 174 ( 4 ) 865 - 892 2019.2
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Limit Theorems for Random Cubical Homology Reviewed
Yasuaki Hiraoka, Kenkichi Tsunoda
DISCRETE & COMPUTATIONAL GEOMETRY 60 ( 3 ) 665 - 687 2018.10
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Hydrostatics and dynamical large deviations for a reaction-diffusion model Reviewed
C. Landim, K. Tsunoda
54 ( 1 ) 51 - 74 2018.2
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Hydrodynamic limit for a certain class of two-species zero-range processes Reviewed
Kenkichi Tsunoda
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 68 ( 2 ) 885 - 898 2016.4
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Scaling limits for Glauber-Kawasaki processes Reviewed International journal
K. Tsunoda
B59 45 - 56 2016.1
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Metastability of Reversible Random Walks in Potential Fields Reviewed
C. Landim, R. Misturini, K. Tsunoda
JOURNAL OF STATISTICAL PHYSICS 160 ( 6 ) 1449 - 1482 2015.9
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Derivation of a free boundary problem from an exclusion process with speed change Invited Reviewed International journal
K. Tsunoda
Markov Processes Relat. Fields 21 263 - 273 2015.1
Presentations
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Sharp interface limit for a quasi-linear large deviation rate function International conference
Kenkichi Tsunoda
Interacting particle systems and stochastic analysis 2024.3
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Scaling limits for Glauber-Kawasaki process International conference
Kenkichi Tsunoda
The 13th AIMS conference on dynamical systems, differential equations and applications 2023.6
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Scaling limits for Glauber-Kawasaki process International conference
Kenkichi Tsunoda
11th International conference on stochastic analysis and its applications 2023.6
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Sharp interface limit for Glauber-Kawasaki process International conference
Kenkichi Tsunoda
Stochastic processes and related fields 2023.9
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反応拡散模型に対するスケール極限
角田 謙吉
東北確率論セミナー 2023.11
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Incompressible limit for a weakly asymmetric simple exclusion process with collision International conference
Kenkichi Tsunoda
Random interacting systems, scaling limits, and universality 2023.12
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流体力学極限に対する大偏差原理
角田 謙吉
九州大学数理談話会 2023.12
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Glauber+Kawasaki過程のレート関数に対する特異極限
角田 謙吉
2023年度確率論シンポジウム 2023.12
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Large deviations for random graphs
2024.1
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Sharp Interface Limit for Glauber-Kawasaki Process International conference
Kenkichi Tsunoda
2024.3
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Large deviations for random cubical filtrations
2023.1
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Mixing time for a reaction-diffusion model International conference
Kenkichi Tsunoda
Ninth Bielefeld-SNU Joint Workshop in Mathematics 2022.5
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Occupation time large deviations for one-dimensional zero-range process
2022.10
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Large deviation principle for persistence diagrams of random cubical filtrations
2022.12
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Large deviations and mixing times for a reaction-diffusion model International conference
Kenkichi Tsunoda
2022.10
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Occupation time large deviations for one-dimensional zero-range process International conference
Kenkichi Tsunoda
Symposium on interacting stochastic systems 2022.6
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1次元零距離過程の占有時間に対する大偏差原理
角田 謙吉
九州確率論セミナー 2022.10
MISC
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パーシステントホモロジーと確率論（特集◎トポロジカルデータ解析の拡がり） 数理科学 サイエンス社 Reviewed
角田謙吉
2023.6
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粒子系・界面成長モデルからKPZ普遍性（特集◎統計力学の視点で捉える確率論） 数理科学 サイエンス社 Reviewed
角田謙吉
2023.3
Professional Memberships
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THE MATHEMATICAL SOCIETY OF JAPAN
2016 - Present
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The Mathematical Society of Japan
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THE MATHEMATICAL SOCIETY OF JAPAN
Academic Activities
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Organizer International contribution
21st Stochastic analysis on large scale interacting systems （ RIMS, Kyoto University Japan ） 2023.10
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Organizer International contribution
Workshop on probabilistic methods in statistical mechanics of random media and random fields 2023 （ Nishijin Plaza, Kyushu University Japan ） 2023.1
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世話人
（ 九州大学 ） 2022.12
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RIMS Kôkyûroku Bessatsu B79: Stochastic Analysis on Large Scale Interacting Systems eds. Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Hirofumi Osada, Kenkichi Tsunoda
2022.10
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世話人
2021年度確率論シンポジウム （ オンライン ） 2021.12
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世話人
（ オンライン ） 2021.12
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世話人
（ 大阪大学 ） 2019.11
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Organizer International contribution
17th Stochastic analysis on large scale interacting systems （ RIMS, Kyoto University Japan ） 2018.11
Research Projects
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Large deviation principle and metastability for lattice gas
Grant number：22K13929 2022 - 2025
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Early-Career Scientists
Authorship：Principal investigator Grant type：Scientific research funding
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Limit theorems for stationary nonequilibrium states
Grant number：18K13426 2018 - 2021
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Early-Career Scientists
Tsunoda Kenkichi
Authorship：Principal investigator Grant type：Scientific research funding
I studied a scaling limit for a lattice gas. Especially, I studied a hydrodynamic limit and problems related to a large deviation principle. I obtained results on law of large numbers for a stationary state of an exclusion process with slow boundary, derivation of the mean curvature flow from a Glauber-Kawasaki dynamics, derivation of the Burgers equation from a weakly asymmetric exclusion process and phase transition in mixing times for a Glauber-Kawasaki dynamics.
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非平衡定常状態の流体力学極限に対する大偏差原理による解析
Grant number：16H07041 2016 - 2017
日本学術振興会 科学研究費助成事業 研究活動スタート支援
Authorship：Principal investigator Grant type：Scientific research funding
Class subject
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確率論基礎・演習
2024.10 - 2025.3 Second semester
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微分積分学Ⅱ
2024.10 - 2025.3 Second semester
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数学演習ＡⅡ
2024.10 - 2025.3 Second semester
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確率論大意
2024.4 - 2024.9 First semester
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数学演習ＡⅠ
2024.4 - 2024.9 First semester
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微分積分学Ⅰ
2024.4 - 2024.9 First semester
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数学特論１０
2024.4 - 2024.9 First semester
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微分積分学Ⅱ
2023.10 - 2024.3 Second semester
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微分積分学Ⅱ
2023.10 - 2024.3 Second semester
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数理科学特別講義Ⅳ
2023.4 - 2023.9 First semester
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確率論大意
2023.4 - 2023.9 First semester
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微分積分学Ⅰ
2023.4 - 2023.9 First semester
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微分積分学Ⅰ
2023.4 - 2023.9 First semester
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数学特論１０
2023.4 - 2023.9 First semester
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コアセミナーⅠ
2023.4 - 2023.9 First semester
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数理科学特論４
2023.4 - 2023.9 First semester
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数学特論１０（確率論）
2022.10 - 2023.3 Second semester
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確率論大意
2022.10 - 2023.3 Second semester
FD Participation
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2023.8 Role：Participation Title：数理学府FD
Organizer：[Undergraduate school/graduate school/graduate faculty]
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2023.4 Role：Participation Title：令和５年度 第１回全学ＦＤ（新任教員の研修）The 1st All-University FD (training for new faculty members) in FY2023
Organizer：University-wide