34 citations · 260 across the 72 of their papers we have counts for
73 papers
On hitting time distributions of Markov processes with sub-Gaussian heat kernel bounds
Liping Li, Shuwen Lou
In this paper, we study the hitting times of Borel right processes on a metric measure space whose heat kernels satisfy sub-Gaussian bounds. It is well known that if $X=(…
Representations over diagrams of abelian categories II: Abelian model structures
Zhenxing Di, Liping Li, Li Liang +1
This is the second paper in a series on representations over diagrams of abelian categories. We show that, under certain conditions, a compatible family of abelian model categories…
On the restriction of a right process outside a negligible set
Liping Li, Michael Röckner
The objective of this paper is to examine the restriction of a right process on a Radon topological space, excluding a negligible set, and investigate whether the restricted object…
Dirichlet form approach to diffusions with discontinuous scale
Liping Li
It is well known that a regular diffusion on an interval without killing inside is uniquely determined by a canonical scale function and a canonical speed measure . Note…
On generalization of quasidiffusions
Liping Li
A quasidiffusion is by definition a time-changed Brownian motion on certain closed subset of . The aim of this paper is two-fold. On one hand, we will put forward a gen…
Fukushima subspaces of quasidiffusions
Liping Li, Jiangang Ying
Quasidiffusions are, by definition, time-changed Brownian motions on certain closed subset of . They admit an explicit representation of Dirichlet forms in terms of so-…
Ray-Knight compactification of birth and death processes
Liping Li
A birth and death process is a continuous-time Markov chain with the minimal state space , whose transition matrix is standard and whose density matrix is the given birt…
Flat model structures and Gorenstein objects in functor categories
Zhenxing Di, Liping Li, Li Liang +1
We construct a flat model structure on the category of additive functors from a small preadditive category satisfying certain conditi…
Representations over diagrams of abelian categories I: Global structure and homological objects
Zhenxing Di, Liping Li, Li Liang +1
Representations over diagrams of abelian categories unify quite a few notions appearing widely in literature such as representations of categories, presheaves of modules over categ…
On diffusions with discontinuous scales
Liping Li
It is well known that a regular diffusion on an interval without killing inside is uniquely determined by a canonical scale function and a canonical speed measure . Note…
On order isomorphisms intertwining semigroups for Dirichlet forms
Liping Li, Hanlai Lin
This paper is devoted to characterizing the so-called order isomorphisms intertwining the -semigroups of two Dirichlet forms. We first show that every unitary order isomorphis…
On structure of -harmonic functions for one-dimensional diffusions
Liping Li
In this note we analyse the harmonic functions in -sense for an irreducible diffusion on an interval.
Generalizing Dirichlet-to-Neumann operators
Liping Li
The aim of this paper is to study the Dirichlet-to-Neumann operators in the context of Dirichlet forms and especially to figure out their probabilistic counterparts. Regarding irre…
On trace of Brownian motion on the boundary of a strip
Liping Li, Wenjie Sun
The trace of a Markov process is the time changed process of the original process on the support of the Revuz measure used in the time change. In this paper, we will concentrate on…
On a stiff problem in two-dimensional space
Liping Li, Wenjie Sun
In this paper we will study a stiff problem in two-dimensional space and especially its probabilistic counterpart. Roughly speaking, the heat equation with a parameter $\varepsilon…
Sheaves of modules on atomic sites and discrete representations of topological groups
Zhenxing Di, Liping Li, Li Liang +1
The main goal of this paper is to establish close relations among sheaves of modules on atomic sites, representations of categories, and discrete representations of topological gro…
Hunt's hypothesis and symmetrization for general 1-dimensional diffusions
Liping Li
In this paper, we will consider the problem that how far from Hunt's hypothesis (H) to symmetrization for a general 1-dimensional diffusion. A characterization of (H) involving the…
Adjoint functors on the representation category of
Wee Liang Gan, Liping Li
In this paper we study adjunction relations between some natural functors on the representation category of the category of finite linearly ordered sets and order-preserving inject…
Distorted Brownian motions on space with varying dimension
Liping Li, Shuwen Lou
Roughly speaking, a space with varying dimension consists of at least two components with different dimensions. In this paper we will concentrate on the one, which can be treated a…
Sufficient and necessary conditions for hereditary of infinite category algebras
Malte Lackmann, Liping Li
We describe necessary and sufficient conditions for the hereditarity of the category algebra of an infinite EI category satisfying certain combinatorial assumptions. More generally…
An inductive method for -modules
Wee Liang Gan, Liping Li
In this paper we introduce an inductive method to study -modules presented in finite degrees, where is a skeleton of the category of finitely totally ord…
Dirichlet forms and polymer models based on stable processes
Liping Li, Xiaodan Li
In this paper, we are concerned with polymer models based on -stable processes, where and stands for dimension. They are attached with a delta…
Castelnuovo-Mumford regularity of representations of certain product categories
Wee Liang Gan, Liping Li
We show in this paper that representations of a finite product of categories satisfying certain combinatorial conditions have finite Castelnuovo-Mumford regularity if and only if t…
On general skew Brownian motions
Liping Li
The aim of this paper is two-fold. On one hand, we will study the distorted Brownian motion on , i.e. the diffusion process associated with a regular and strongly l…