5 citations · 5 across the 5 of their papers we have counts for
5 papers
Sub-elliptic diffusions on compact groups via Dirichlet form perturbation
Qi Hou, Laurent Saloff-Coste
This work provides an extension of parts of the classical finite dimensional sub-elliptic theory in the context of infinite dimensional compact connected metrizable groups. Given a…
Motion of Lee-Yang zeros
Qi Hou, Jianping Jiang, Charles M. Newman
We consider the zeros of the partition function of the Ising model with ferromagnetic pair interactions and complex external field. Under the assumption that the graph with strictl…
Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups
Qi Hou, Laurent Saloff-Coste
In this paper we study left-invariant Laplacians on compact connected groups that are form-comparable perturbations of bi-invariant Laplacians. Our results show that Gaussian bound…
Rough Hypoellipticity for the Heat Equation in Dirichlet Spaces
Qi Hou, Laurent Saloff-Coste
This paper aims at proving the local boundedness and continuity of solutions of the heat equation in the context of Dirichlet spaces under some rather weak additional assumptions.…
Time regularity for local weak solutions of the heat equation on local Dirichlet spaces
Qi Hou, Laurent Saloff-Coste
We study the time regularity of local weak solutions of the heat equation in the context of local regular symmetric Dirichlet spaces. Under two basic and rather minimal assumptions…