Work

Complexity of flows with interactions and stochastic analysis

Year: 2026

Type: preprint

Abstract: We study stochastic flows with interaction through an infinite-dimensional semigroup approach. By means of a kernel lifting procedure, we represent the solution to measure-valued stochastic equation as a Hilbert-valued Markov process. We identify its generator, construct the associated Markov semigroup, and establish a dense range condition using measure polynomial functionals. The results provide a framework for the analysis of stability of stochastic equations with interaction.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06924

Author: Shi, Yifan

Institution: National Research University Higher School of Economics

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221036422

Cites: 1

Cited by:

Related to: 10