3 papers
math.PR2026
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…
math-ph2026
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…
math-ph2025
Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditions
Sergio Albeverio, ZdzisÅaw Brzeźniak, Szymon Peszat
Laplacians associated with domains with singular boundary conditions and are considered together with semigroups on generalized Sobolev spaces, they generate. Applications are give…