On the Ergodicity of Interacting Particle Systems under Number Rigidity, Probab. Theory Relat. Fields (online
firstlink)
(2023) 41 pages.
Removable sets and L^p-uniqueness on manifolds and metric measure spaces, Nonlinear Analysis 234 (link) (2023) 43 pages
(with M. Hinz and J. Masamune).
Sobolev-to-Lipschitz Property on QCD-Spaces and Applications, Math. Ann. (2021) online
first (with L. Dello Schiavo) (link).
Rademacher-type Theorems and Sobolev-to-Lipschitz Properties for Local Dirichlet Spaces, J. Funct. Anal. 281
(11) (2021) 63 pages (with L. Dello Schiavo) (link).
Regularity and Stability of Invariant Measures for Diffusion Processes under Synthetic Lower Ricci Curvature Bounds, Ann. Sc. Norm. Super. (5) Vol. XXIII (2022), 745-808 (63
pages) (arXiv).
Convergence of Non-symmetric Diffusion Processes on RCD Spaces,Calc. Var. Partial Differ.
Equ 57 : 120 (2018)(link) 41 pages, Erratum PDF
Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension Conditions,
Electron. J. Probab24 (2019), paper no. 102, 36 pages. (link) (extracted from PhD thesis)
Convergence of continuous stochastic processes on compact metric spaces converging in the Lipschitz distance, Potential
Anal.50(2) (2019), 197-219 (link)
On instability of global path properties of symmetric Markov processes under Mosco convergence, Osaka J. Math. 53 (2016), pp. 567–590. (with T.Uemura) (link)
Non-separability of the Lipschitz distance, Pac. J. Math. Ind. 7(1) (2015), pp. 1–7. (with Y. Yamazaki) (link)
Convergences and projection Markov property of Markov processes on ultrametric spaces,Publ. Res. Inst. Math. Sci. 50(3) (2014), 569–588 (link).
Preprints
Configuration Spaces over Singular Spaces - I. Dirichlet-form and Metric Measure Geometry -
85 pages, Preprint at arXiv:2109.03192 (with L. Dello Schiavo).
Configuration Spaces over Singular Spaces - II. Curvature -, 50 pages, Preprint at arXiv:2205.01379 (with L. Dello Schiavo)
A phase transition in the Bakry-Émery gradient estimate for Dyson Brownian motion, arXiv:2506.04424 (with Kenshiro Tashiro)
Infinite Interacting Brownian Motions and EVI Gradient Flows, arXiv:2509.06869
Stability of Synthetic Ricci Curvature Lower Bounds for Inverse Limit Extended Metric Measure Spaces (with T.Yokota), arXiv 2606.14322
Brownian motion in Minkowski normed spaces (with M. Rehmeier and S. Ohta), arXiv:2607.00800