activity
20102023
most citedSome support properties for a class of Lambda-Fleming-Viot processes

1 citations · 2 across the 12 of their papers we have counts for

collaborators

13 papers

math.RA2023

Ore Extension of Group-cograded Hopf Coquasigroups

Lingli Zhu, Bingbing Jin, Huili Liu +1

The aim of this paper is the Ore extension of group-cograded Hopf coquasigroups. This paper first shows a categorical interpretation and some examples of group-cograded Hopf coquas…

math.RA2022

Braided crossed category over crossed group-cograded weak Hopf quasigroups

Huili Liu, Lingli Zhu, Tao Yang

In this paper, we generalizing the main result in Liu[10] to weak Hopf coquasigroups case. We first define and study group-cograded weak Hopf quasigroups, which generalize both gro…

math.PR2022

Exact modulus of continuities for -Fleming-Viot processes with Brownian spatial motion

Huili Liu, Xiaowen Zhou

For a class of -Fleming-Viot processes with Brownian spatial motion in whose associated -coalescents come down from infinity, we obtain sharp global and local…

math.RA2021

Yetter-Drinfeld modules for group-cograded Hopf quasigroups

Huili Liu, Tao Yang, Lingli Zhu

Let be a crossed group-cograded Hopf quasigroup. We first introduce the notion of -Yetter-Drinfeld quasimodule over . If the antipode of is bijective, we show that th…

math.PR2020

Mutually interacting superprocesses with migration

Lina Ji, Huili Liu, Jie Xiong

A system of mutually interacting superprocesses with migration is constructed as the limit of a sequence of branching particle systems arising from population models. The uniquenes…

math.PR2020

Generalized stepping stone model with -resampling mechanism

Huili Liu, Xiaowen Zhou

A generalized stepping stone model with -resampling mechanism is a two dimensional probability-measure-valued stochastic process whose moment dual is similar to that of the clas…

math.PR2017

Coalescent results for diploid exchangeable population models

Matthias Birkner, Huili Liu, Anja Sturm

We consider diploid bi-parental analogues of Cannings models: in a population of fixed size the next generation is composed of offspring from parents and , whe…

math.DG2016

Vanishing theorems of the basic harmonic forms on a complete foliated Riemannian manifold

Seoung Dal Jung, Huili Liu

On a compact foliated Riemannian manifold with some transversal curvature conditions, there are no nontrivial basic harmonic forms (M. Min-Oo et al., J. Reine Angew. Math. 415 (199…

math.DG2016

L2-transverse conformal Killing forms on complete foliated manifolds

Seoung Dal Jung, Huili Liu

In this article, we study the L2-transverse conformal Killing forms on complete foliated Riemannian manifolds and prove some vanishing theorems. Also, we study the same problems on…

math.PR2013★ 1 cited

Some support properties for a class of Lambda-Fleming-Viot processes

Huili Liu, Xiaowen Zhou

For a class of -Fleming-Viot processes with underlying Brownian motion whose associated -coalescents come down from infinity, we prove a one-sided modulus of continuity resul…

math.PR2012

The reversibility and an SPDE for the generalized Fleming-Viot Processes with mutation

Zenghu Li, Huili Liu, Jie Xiong +1

The (Ξ, A)-Fleming-Viot process with mutation is a probability-measure-valued process whose moment dual is similar to that of the classical Fleming-Viot process except that the Kin…

math.PR2012

The compact support property for the -Fleming-Viot process with underlying Brownian motion

Huili Liu, Xiaowen Zhou

Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the -Fleming-Viot process with underlying Brownian motion has a compact support…

math.DG2010★ 1 cited

The duality of conformally flat manifolds

Huili Liu, Masaaki Umehara, Kotaro Yamada

In a joint work with Saji, the second and the third authors gave an intrinsic formulation of wave fronts and proved a realization theorem of wave fronts in space forms. As an appli…