321 citations · 2.4k across the 166 of their papers we have counts for
174 papers
Stochastic quantization of the three-dimensional polymer measure via the Dirichlet form method
Sergio Albeverio, Seiichiro Kusuoka, Song Liang +1
We prove that there exists a diffusion process whose invariant measure is the three dimensional polymer measure for all . We follow in part a previous incomplete unpubli…
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…
Optimal bounds on the speed of subspace evolution
Sergio Albeverio, Alexander K. Motovilov
By a quantum speed limit one usually understands an estimate on how fast a quantum system can evolve between two distinguishable states. The most known quantum speed limit is given…
Singular perturbations and asymptotic expansions for SPDEs with an application to term structure models
Sergio Albeverio, Carlo Marinelli, Elisa Mastrogiacomo
We study the dependence of mild solutions to linear stochastic evolution equations on Hilbert space driven by Wiener noise, with drift having linear part of the type $A+\varepsilon…
Non-local Markovian symmetric forms on infinite dimensional spaces
Sergio Albeverio, Toshinao Kagawa, Yumi Yahagi +1
General theorems on the closability and quasi-regularity of non-local Markovian symmetric forms on probability spaces , with Fr{é}chet spaces such that $S…
The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
Sergio Albeverio, Silvestro Fassari, Manuel Gadella +2
In this note we consider a quantum mechanical particle moving inside an infinitesimally thin layer constrained by a parabolic well in the -direction and, moreover, in the presen…