4 papers
Direct construction of scalar quantum fields by L{é}vy fields -- nontrivial exact Wightman fields in a wider field with a relaxed Gårding-Wightman Axioms-
Sergio Albeverio, Suji Kawasaki, Yumi Yahagi +1
This paper introduces partial results, in the current situation, of ongoing considerations corresponding to the above title. A construction on exact relativistic quantum field mode…
Homogenization of diffusions on the lattice with periodic drift coefficients; Application of logarithmic Sobolev inequality
Sergio Albeverio, Michael Rockner, Simonetta Bernabei +1
A homogenization problem of infinite dimensional diffusion processes indexed by having periodic drift coefficients is considered. By an application of the uniform e…
A general formulation of Non-Local Dirichlet forms on infinite dimensional topological vector spaces and its applications, and corresponding subjects: Seminar at Univ. Lisboa,2023
Sergio Albeverio, Toshinao Kagawa, Shyuji Kawasaki +2
A concise explanations on the results given by Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces I, CMP 2021, by Sergio Albeverio, Minoru W. Yoshida, et.al., and N…
Non-local Markovian symmetric forms on infinite dimensional spaces; Part 2. Examples: non local stochastic quantization of space cut-off quantum fields and infinite particle systems
Sergio Albeverio, Toshinao Kagawa, Shyuji Kawasaki +2
The general framework on the non-local Markovian symmetric forms on weighted spaces constructed by [A,Kagawa,Yahagi,Y 2020], by restricting the situatio…