142 citations · 317 across the 24 of their papers we have counts for
25 papers
Local stability of McKean-Vlasov equations arising from heterogeneous Gibbs systems using limit of relative entropies
D. A. Dawson, A. Sid-Ali, Y. Q. Zhao
A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to in…
Large-time behavior of finite-state mean-field systems with multi-classes
Donald A. Dawson, Ahmed Sid-Ali, Yiqiang Q. Zhao
We study in this paper the large-time asymptotics of the empirical vector associated with a family of finite-state mean-field systems with multi-classes. The empirical vector is co…
Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks
Donald A. Dawson, Ahmed Sid-Ali, Yiqiang Q. Zhao
A system of interacting multiclass finite-state jump processes is analyzed. The model under consideration consists of a block-structured network with dynamically changing multi-col…
Joint Hölder continuity of local time for a class of interacting branching measure valued diffusions
Donald Andrew Dawson, Jean Vaillancourt, Hao Wang
Using a Tanaka representation of the local time for a class of superprocesses with dependent spatial motion, as well as sharp estimates from the theory of uniformly parabolic parti…
Tanaka formula and local time for a class of interacting branching measure-valued diffusions
Donald A. Dawson, Jean Vaillancourt, Hao Wang
We construct superprocesses with dependent spatial motion (SDSMs) in Euclidean spaces with and show that,even when they start at some unbounded initial positive Radon…
Introductory Lectures on Stochastic Population Systems
Donald A. Dawson
These notes provide a review of basic stochastic population models including branching processes and models of population genetics. Measure-valued population models including super…