Publications

1. Relationships between two linearizations of the box-ball system : Kerov-Kirillov-Reschetikhin bijection and slot configuration,  (with Hayate Suda, Matteo Mucciconi, Tomohiro Sasamoto), Forum of Mathematics, Sigma,(2024).  arXiv:2301.00132

2. Yang-Baxter maps and independence preserving property, 

 (with Ryosuke Uozumi), Electronic Journal of Probability, (2024),29 1-21. arXiv:2212.00963

3. Dynamics of the box-ball system with random initial conditions via Pitman's transformation, (with D. A. Croydon, T. Kato, and S. Tsujimoto),  Memoirs of the AMS, 283(1398)(2023).  arXiv:1806.02147

4. Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings, (with D. A. Croydon, S. Tsujimoto). Math. Phys, Analysis & Geometry. 25(4) (2022). arXiv:2011.00690

5. On the Stationary Solutions of Random Polymer Models and Their Zero-Temperature Limits, (with D. A. Croydon),  J. Stat. Phys. 188(3) (2022).

6. Generalized hydrodynamic limit for the box-ball system, (with D. A. Croydon), Commun. Math. Phys.(2021), 383(1), 427-463.   arXiv:2003.06526

7. Discrete integrable systems and Pitman's transformation, (with D. A. Croydon), Advanced Studies in Pure Mathematics, (2021), 87,381-402.   arXiv:2007.06206

8.  Hydrodynamic limit for a facilitated exclusion process, (with O. Blondel, C. Erignoux and M. Simon), Ann. Inst. H. Poincaré  Probab. Statist, (2020), 56-1, 667-714.  arXiv:1805.09000

9. Dynamics of the ultra-discrete Toda lattice via Pitman's transformation, (with D. A. Croydon and S. Tsujimoto), RIMS Kokyuroku Bessatsu78 (2020), 235-250.    arXiv:1904.13185

10. Duality between box-ball systems of finite box and/or carrier capacity, (with D. A. Croydon), RIMS Kokyuroku Bessatsu 79(2020), 63-107.   arXiv:1905.00189

11. 5/6-Superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field, (with K. Saito and H. Suda),  Commun. Math. Phys. 372-1 (2019), 151-182.  arXiv:1808.01040  published version

12.  Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures, (with D. A. Croydon), Journal of Mathematical Physics, 60 083301 (2019). arXiv:1905.00186

13.  On the Green-Kubo formula and the gradient condition on currents, Ann. Appl. Probab. 28, No. 5, (2018), 2727-2739. ( draft version : arXiv:1704.03745)

14. Thermal Conductivity for Coupled Charged Harmonic Oscillators with Noise in a Magnetic Field, (with K. Saito), Commun. Math. Phys. 361-3  (2018), 951–995. arXiv:1706.09668 

15.   Heat transport via low-dimensional systems with broken time-reversal symmetry, (with S. Tamaki and K. Saito), Phys. Rev. Lett. 119 (2017), 110602.

16.   Algebraic structure of vector fields in financial diffusion models and its applications,(with Y. Morimoto), Quantitative Finance (2017), 1105-1117.arXiv:1510.02013

17.   A new approach to the characterization of closed forms in the nongradient method,(with Y. Kametani), RIMS Kokyuroku BessatsuB59 (2016), 1-13.

18.   Spectral gap for stochastic energy exchange model with nonuniformly positive rate function,  Ann. Probab.43 (2015), no. 4, 1663–1711.arXiv:1305.4066

19. From normal diffusion to superdiffusion of energy in the evanescent flip noise limit, (with C. Bernardin, P. Gonçalves, M. Jara and M. Simon), J. Stat. Phys.159 (2015), no. 6, 1327–1368.arXiv:1409.6437 

20.   Stochastic energy exchange models with degenerate rate functions, XVIIth International Congress on Mathematical Physics,World Sci. Publ., Hackensack, NJ,(2014),344–350.

21. Macroscopic energy diffusion for a chain of anharmonic oscillators, (with S. Olla), Probab. Theory Relat. Fields157 (2013), no. 3-4, 721–775.arXiv:1109.5297

22. On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice, Symmetries, integrable systems and representations, Springer Proc. Math. Stat. 40 Springer, Heidelberg,(2013), 543–560.arXiv:1308.5096

23. Fluctuations in an evolutional model of two-dimensional Young diagrams, (with T. Funaki, M. Sauer and B. Xie), Stochastic Process. Appl.123 (2013), no. 4, 1229–1275.arXiv:1112.2352 

24. Hydrodynamic limit for exclusion processes with velocity, Markov Process. Related Fields17 (2011), no. 3, 391–428.

25. Spectral gap for multi-species exclusion processes, (with Y. Nagahata), J. Stat. Phys.143 (2011), no. 2, 381–398.

26. Hydrodynamic limit for particle systems with degenerate rates without exclusive constraints, ALEA Lat. Am. J. Probab. Math. Stat7(2010), 277–292.arXiv:1008.3769

27.   Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams, (with T. Funaki), Comm. Math. Phys.299 (2010), no. 2, 335–363.arXiv:0909.5482

28.  Hydrodynamic limit for two-species exclusion processes, Stochastic Process. Appl.120 (2010), no. 4, 494–521.arXiv:0910.3994

Preprint

1.   Topological Structures of Large Scale Interacting Systems via Uniform Locality. (with K. Bannai, Y. Kametani).  2020  arXiv:2009.04699

2.    Detailed balance and invariant measures for systems of locally-defined dynamics, (with D.A. Croydon).  2020 arXiv:2007.06203

3.    Thermal conductivity for stochastic energy exchange models. 2016  arXiv:1611.08866

4.    Eigenvalue problem for some special class of anti-triangular matrices, (with H. Ochiai, T. Shirai and T. Tsuboi). 2014  arXiv:1403.6797

Congress Talks

1. XVII International Congress on Mathematical Physics (ICMP2012), Aalborg, DENMARK, 2012

2. XIX International Congress on Mathematical Physics (ICMP2018), Centre Mont-Royal, CANADA, 2018

Lecture Series

1. Intensive course, Kyusyu University, 2018

2. Intensive course, Tokyo Metropolitan University, 2018

3. Fall 2019 Minerva Lectures, Columbia University, U.S.A. 2019

Editorial Activities

1. Associate editor for Probability Theory and Related topics : 2021-

2. Associate editor for Annales de I'Institute Henri Poincare, Probabilites et  Statistiques : 2021-