Limit theorems for continuous time branching flows
Hui He, Rugang Ma
TL;DR
This paper constructs a flow of continuous time, discrete state branching processes and proves scaling limit theorems that connect to advanced path-valued and nonlocal branching superprocesses.
Contribution
It introduces a new flow construction and establishes limit theorems linking to complex branching superprocesses, extending prior theoretical frameworks.
Findings
Established convergence to path-valued branching processes
Derived nonlocal branching superprocesses as limits
Extended theoretical understanding of branching flow dynamics
Abstract
We construct a flow of continuous time and discrete state branching processes. Some scaling limit theorems for the flow are proved, which lead to the path-valued branching processes and nonlocal branching superprocesses over the positive half line studied in Li (2012).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStochastic processes and statistical mechanics · Theoretical and Computational Physics · Markov Chains and Monte Carlo Methods