Pathwise large deviations for the pure jump \(k\)-nary interacting particle systems
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Publication:6126119
DOI10.1214/23-aap1977arXiv2104.13914MaRDI QIDQ6126119
Publication date: 9 April 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13914
large deviationmartingale measurecouplingmeasure-valued Markov processBoltzmann collisionBecker-Döring coagulation and fragmentationSmoluchowski's coagulation
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Random measures (60G57) Jump processes on general state spaces (60J76)
Cites Work
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- Convergence of the Marcus-Lushnikov process
- The central limit theorem for the Smoluchovski coagulation model
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Marcus-Lushnikov processes, Smoluchowski's and Flory's models
- The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
- Propriétés de martingales, explosion et représentation de Lévy- Khintchine d'une classe de processus de branchement à valeurs mesures. (Martingale properties, explosions and Levy-Khinchine representation of measure valued branching processes)
- Instantaneous gelation in coagulation dynamics
- Existence of gelling solutions for coagulation-fragmentation equations
- Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
- Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
- Large deviations for a reaction diffusion model
- On large deviations for particle systems associated with spatially homogeneous Boltzmann type equations
- A functional central limit theorem for the Becker-Döring model
- Convex conjugates of integral functionals
- The rate function for some measure-valued jump processes
- Cluster coagulation
- Large deviations for Kac-like walks
- Integrals which are convex functionals
- On the Boltzmann equation. I: Existence
- [https://portal.mardi4nfdi.de/wiki/Publication:3347061 �quations de type de Boltzmann, spatialement homog�nes]
- Central limit theorem for a system of Markovian particles with mean field interactions
- Hydrodynamics and large deviation for simple exclusion processes
- Convergence of the fluctuations for interacting diffusions with jumps associated with boltzmann equations
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- A Schilder Type Theorem for Super-Brownian Motion
- Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function
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