With appropriate notions of Hermitian vector bundles and connections over weighted graphs which we allow to be locally infinite, we prove Feynman-Kac-type representations for the corresponding semigroups and derive several applications thereof. © 2013 Springer Science+Business Media Dordrecht
The Glazman–Povzner–Wienholtz theorem states that the semiboundedness of a Schrödinger operator, whe...
We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups a...
In this paper we present a method of obtaining finitely based linear representations of possibly inf...
Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian associated ...
Abstract. Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian a...
We analyze properties of semigroups generated by Schrödinger operators Δ−V or polyharmonic operators...
In this paper, we propose a unified approach to prove the existence and uniqueness of the solutions ...
In this thesis we generalize the Feynman-Kac formula to semigroups that correspond to Schrödinger ty...
The $n-dimensional hypercube, or n-cube, is the Cayley graph of the Abelian group Z2n. A number of c...
AbstractWe prove a Feynman–Kac formula for Schrödinger type operators on vector bundles over arbitra...
AbstractWe study the generalized Schrödinger operator −L + V, where L is the generator of a symmetri...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension and their generator...
This thesis examines convergence infinite products in groups and semigroups. Chapter One formulates ...
Freedman, Lovász and Schrijver characterized graph parameters that can be represented as the (weight...
The Glazman–Povzner–Wienholtz theorem states that the semiboundedness of a Schrödinger operator, whe...
We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups a...
In this paper we present a method of obtaining finitely based linear representations of possibly inf...
Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian associated ...
Abstract. Given a Hermitian vector bundle over an infinite weighted graph, we define the Laplacian a...
We analyze properties of semigroups generated by Schrödinger operators Δ−V or polyharmonic operators...
In this paper, we propose a unified approach to prove the existence and uniqueness of the solutions ...
In this thesis we generalize the Feynman-Kac formula to semigroups that correspond to Schrödinger ty...
The $n-dimensional hypercube, or n-cube, is the Cayley graph of the Abelian group Z2n. A number of c...
AbstractWe prove a Feynman–Kac formula for Schrödinger type operators on vector bundles over arbitra...
AbstractWe study the generalized Schrödinger operator −L + V, where L is the generator of a symmetri...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
This is a survey paper about Ornstein-Uhlenbeck semigroups in infinite dimension and their generator...
This thesis examines convergence infinite products in groups and semigroups. Chapter One formulates ...
Freedman, Lovász and Schrijver characterized graph parameters that can be represented as the (weight...
The Glazman–Povzner–Wienholtz theorem states that the semiboundedness of a Schrödinger operator, whe...
We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups a...
In this paper we present a method of obtaining finitely based linear representations of possibly inf...
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