48 citations · 133 across the 16 of their papers we have counts for
16 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…
Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditions
Sergio Albeverio, Zdzisław 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…
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…
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…
Construction of a non-Gaussian and rotation-invariant -measure and associated flow on through stochastic quantization
Sergio Albeverio, Seiichiro Kusuoka
A new construction of non-Gaussian, rotation-invariant and reflection positive probability measures associated with the -model of quantum field theory is presented. Our…
On elements of the Lax-Phillips scattering scheme for PT-symmetric operators
Sergio Albeverio, Sergii Kuzhel
Generalized PT-symmetric operators acting an a Hilbert space are defined and investigated. The case of PT-symmetric extensions of a symmetric operator is investi…