Large deviations for sparse systems of moving particles 6M4TMC8G6X

URI	`m2://res/6M4TMC8G6X`
Kind	preprint
Creators	Cairui Duan, Paula de Dios Andres, Manish Pandey, Miguel A. Ramos Docampo, Brigitte Städler, Christian Hirsch
Date	2026-09-30
MSC	60-XX, 62-XX
Subjects	arxiv math.PR, arxiv math.ST, arxiv stat.TH
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Poisson reference process	statement	proposition 5	arxiv
Spatial localization	statement	proposition 7	arxiv
Removal of trajectories with large range	statement	lemma 11	arxiv
Limiting free energy	statement	corollary 2	arxiv
Blocks influenced by trajectories with large range	statement	lemma 8	arxiv
Factorial moments of isolated clusters	statement	lemma 9	arxiv
Hard-core free energy	statement	theorem 3	arxiv
Poisson approximation	statement	proposition 6	arxiv
Hard-core lower bound	statement	proposition 4	arxiv
Gibbs optimizer	statement	lemma 15	arxiv
Approximation in one cube	statement	lemma 10	arxiv
LDP for the empirical measure of clusters	statement	theorem 1	arxiv
Localization errors of the short process	statement	lemma 12	arxiv
Simultaneous absence of boundary errors	statement	lemma 14	arxiv
Partition function in one short block	statement	lemma 13	arxiv