Add to ORKGIn this thesis we consider two types of non-symmetric processes, which are similar to the symmetric α-stable process. We derive sharp estimates for the eigenfunctions of the Feynman- Kac semigroups of these two types of processes and established their intrinsic contractivities. Our methods are mainly probabilistic and depend essentially on the sharp estimates of heat kernels
In this thesis, functional analytical methods are applied to the study of Lévy and Feller processes ...
76 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this dissertation, we study...
Contractivity and ground state domination properties for non-local Schrödinger operator
In this thesis we consider two types of non-symmetric processes, which are similar to the symmetric ...
We introduce a class of L´evy processes subject to specific regularity conditions, and consider thei...
In this thesis, we discuss three topics on Dirichlet forms and non-symmetric Markov processes. F...
AbstractWe establish conditions for the Lp-independence of spectral bounds of Feynman–Kac semigroup ...
In this thesis, we study certain aspects of Levy processes and their applications. In the first part...
We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a c...
AbstractLet X be a symmetric strong Markov process on a Luzin space. In this paper, we present crite...
Abstract. In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily...
AbstractThis paper consists of three parts. In Part I, we obtain results on the integrability of fun...
Stable Lévy processes and related stochastic processes play an important role in stochastic modellin...
AbstractWe define and prove existence of fractional P(ϕ)1-processes as random processes generated by...
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state tr...
In this thesis, functional analytical methods are applied to the study of Lévy and Feller processes ...
76 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this dissertation, we study...
Contractivity and ground state domination properties for non-local Schrödinger operator
In this thesis we consider two types of non-symmetric processes, which are similar to the symmetric ...
We introduce a class of L´evy processes subject to specific regularity conditions, and consider thei...
In this thesis, we discuss three topics on Dirichlet forms and non-symmetric Markov processes. F...
AbstractWe establish conditions for the Lp-independence of spectral bounds of Feynman–Kac semigroup ...
In this thesis, we study certain aspects of Levy processes and their applications. In the first part...
We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a c...
AbstractLet X be a symmetric strong Markov process on a Luzin space. In this paper, we present crite...
Abstract. In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily...
AbstractThis paper consists of three parts. In Part I, we obtain results on the integrability of fun...
Stable Lévy processes and related stochastic processes play an important role in stochastic modellin...
AbstractWe define and prove existence of fractional P(ϕ)1-processes as random processes generated by...
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state tr...
In this thesis, functional analytical methods are applied to the study of Lévy and Feller processes ...
76 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this dissertation, we study...
Contractivity and ground state domination properties for non-local Schrödinger operator