2021/01/28 by Dmitri Finkelshtein, Finkelshtein, Dmitri, Yuri Kondratiev +3
Computer Science · Mathematics · Physics and Astronomy · #60J25 #82C22 #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Point processes and geometric inequalities #Topological and Geometric Data Analysis #math-ph #math.MP #msc:60J25 #msc:82C22
paper · pdf · doi:10.48550/arxiv.2101.12278
arxiv created 2021/01/28 · openalex publication_date 2021/01/28 · arxiv updated 2021/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We start with a brief overview of the known facts about the spaces of discrete Radon measures those may be considered as generalizations of configuration spaces. Then we study three Markov dynamics on the spaces of discrete Radon measures: analogues of the contact model, of the Bolker--Dieckmann--Law--Pacala model, and of the Glauber-type dynamics. We show how the results obtained previously for the configuration spaces can be modified for the case of the spaces of discrete Radon measures.