Book (written in Japanese)
- 稲濱譲・角田謙吉著
大偏差原理.
九州大学の稲濱氏と書いた大偏差原理の日本語のレクチャーノートです. (286ページ・初心者向け)
2025年10月03日に修正を加え改訂しました.
更に改訂を加えたものが共立出版より出版される予定です. 共立出版のページはこちら.
そのため本レクチャーノートのファイルの配布は2026年7月31日で終了する予定です.
Preprint
- L. Cardoso, C. Landim and K. Tsunoda
Critical stationary fluctuations in reaction–diffusion processes.
available at arXiv
- P. van Meurs and K. Tsunoda
Hydrodynamic limit for Glauber–Kawasaki dynamics on the Sierpiński gasket.
available at arXiv
Published paper (refereed)
- P. van Meurs, K. Tsunoda and L. Xu.
Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision.
Electron. J. Probab. Vol. 29, (2024) 1–36. journal
- T. Kagaya and K. Tsunoda.
Sharp interface limit for a quasi-linear large deviation rate function.
Math. Phys. Anal. Geom. Vol. 27, (2024) Article number: 21. journal
- Y. Hiraoka, S. Kanazawa, J. Miyanaga and K. Tsunoda.
Large deviation principle for persistence diagrams of random cubical filtrations.
J. Appl. Comput. Topol. Vol. 8, (2024) 1649–1700. journal
- T. Funaki, P. van Meurs, S. Sethuraman and K. Tsunoda.
Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics.
Ensaios Mat. Vol. 38, (2023) 223–248. journal
- T. Funaki, P. van Meurs, S. Sethuraman and K. Tsunoda.
Motion by mean curvature from Glauber-Kawasaki dynamics with speed change.
J. Stat. Phys. Vol. 190, (2023) Article number: 45. journal
- R. Tanaka and K. Tsunoda.
Glauber-Exclusion dynamics: rapid mixing regime.
Electron. J. Probab. Vol. 27, (2022) 1–26. journal
- K. Tsunoda.
Exponentially slow mixing and hitting times of rare events for a reaction–diffusion model.
ALEA Lat. Am. J. Probab. Math. Stat. Vol. 19, (2022) 1161–1184. journal
- M. Jara, C. Landim and K. Tsunoda.
Derivation of viscous Burgers equations from weakly asymmetric exclusion processes.
Ann. Inst. H. Poincaré Probab. Statist. Vol. 57, (2021) 169–194. journal
- K. Tsunoda.
Hydrostatic limit for exclusion process with slow boundary revisited.
RIMS Kôkyûroku Bessatsu Vol. B79, (2020) 149–162. journal
- T. Funaki and K. Tsunoda.
Motion by mean curvature from Glauber-Kawasaki dynamics.
J. Stat. Phys. Vol. 177, (2019) 183–208. journal
- J. Farfan, C. Landim and K. Tsunoda.
Static large deviations for a reaction-diffusion model.
Probab. Theory Relat. Fields Vol. 174, (2019) 49–101. journal
- A. Goel, K. D. Trinh and K. Tsunoda.
Strong law of large numbers for Betti numbers in the thermodynamic regime.
J. Stat. Phys. Vol. 174, (2019) 865–892. journal
- Y. Hiraoka and K. Tsunoda.
Limit theorems for random cubical homology.
Discrete Comput. Geom. Vol. 60, (2018) 665–687. journal
- C. Landim and K. Tsunoda.
Hydrostatics and dynamical large deviations for a reaction-diffusion model.
Ann. Inst. H. Poincaré Probab. Statist. Vol. 54, (2018) 51–74. journal
- K. Tsunoda.
Scaling limits for Glauber-Kawasaki processes.
RIMS Kôkyûroku Bessatsu Vol. B59, (2016) 45–56. journal
- K. Tsunoda.
Hydrodynamic limit for a certain class of two-species zero-range processes.
J. Math. Soc. Japan Vol. 68, (2016) 1–14. journal
- C. Landim, R. Misturini and K. Tsunoda.
Metastability of reversible random walks in potential fields.
J. Stat. Phys. Vol. 160, (2015) 1449–1482. journal
- K. Tsunoda.
Derivation of a free boundary problem from an exclusion process with speed change.
Markov Processes Relat. Fields Vol. 21, (2015) 263–273. journal
Ph.D. thesis
- Derivation of Stefan problem and large deviation principles for lattice-gas.
格子気体に対するステファン問題の導出と大偏差原理.
Poster
Other publication
- 統計力学に現れる確率模型.
2026/06/02数学展望における説明用資料です.
- ランダムウォーク入門.
2024年度九州大学現代数学入門公開講座の予稿です.
- ランダム方体複体に対する大偏差原理.
RIMS Kôkyûroku, Vol. 2246, 2023.
- パーシステントホモロジーと確率論.
サイエンス社, 数理科学2023年6月号に掲載されています.
- 粒子系・界面成長モデルからKPZ普遍性.
サイエンス社, 数理科学2023年3月号に掲載されています.
- RIMS Kôkyûroku Bessatsu B79: Stochastic Analysis on Large Scale Interacting Systems.
eds. Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Hirofumi Osada, Kenkichi Tsunoda. April, 2020.
- 排他過程に対するスケール極限.
2019年度秋季総合分科会における講演の予稿です.
- Gaussian Free Fieldについて.
確率論サマースクール2018における講演の資料です.
- Large deviations and its application for a reaction-diffusion model.
RIMS Kôkyûroku, Vol. 2030, 122–127 2017.
- Topics in Random Walks in Random Environments.
This is a lecture note written by Professor Erwin Bolthausen. I was one of assistants.
- Metastability of reversible random walks in potential fields.
RIMS Kôkyûroku, Vol. 1952, 69–72 2015.
- Hydrodynamic limit for a certain class of two-species zero-range processes.
Oberwolfach Reports, Vol. 10, 3083 2014.
- Large deviation principles from hydrodynamic limits for asymptotically degenerate systems.
RIMS Kôkyûroku, Vol. 1903, 205–208 2014.