All Outputs (3)

On the ergodicity of interacting particle systems under number rigidity (2023)
Journal Article
Suzuki, K. (2024). On the ergodicity of interacting particle systems under number rigidity. Probability Theory and Related Fields, 188(1-2), 583-623. https://doi.org/10.1007/s00440-023-01243-3

In this paper, we provide relations among the following properties: the tail triviality of a probability measure μ on the configuration space Υ; the finiteness of a suitable L2-transportation-type distance d¯Υ; the irreducibility of local μ-symmetric... Read More about On the ergodicity of interacting particle systems under number rigidity.

Removable sets and Lp-uniqueness on manifolds and metric measure spaces (2023)
Journal Article
Hinz, M., Masamune, J., & Suzuki, K. (2023). Removable sets and Lp-uniqueness on manifolds and metric measure spaces. Nonlinear Analysis: Theory, Methods and Applications, 234, https://doi.org/10.1016/j.na.2023.113296

We study symmetric diffusion operators on metric measure spaces. Our main question is whether essential self-adjointness or -uniqueness are preserved under the removal of a small closed set from the space. We provide characterizations of the critical... Read More about Removable sets and Lp-uniqueness on manifolds and metric measure spaces.

Convergence of non-symmetric diffusion processes on RCD spaces (2018)
Journal Article
Suzuki, K. (2018). Convergence of non-symmetric diffusion processes on RCD spaces. Calculus of Variations and Partial Differential Equations, 57(5), Article 120. https://doi.org/10.1007/s00526-018-1398-7

We construct non-symmetric diffusion processes associated with Dirichlet forms consisting of uniformly elliptic forms and derivation operators with killing terms on RCD spaces by aid of non-smooth differential structures introduced by Gigli (Mem Am M... Read More about Convergence of non-symmetric diffusion processes on RCD spaces.