Large deviations in the supremum norm for a reaction-diffusion system

DOI10.1214/21-BJPS515zbMath1490.60270arXiv2004.03006OpenAlexW4220935112MaRDI QIDQ2077449

Tertuliano Franco, Luana Gurgel, Bernardo Nunes Borges de Lima

Publication date: 21 February 2022

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03006

zbMATH Keywords

large deviationsreaction-diffusionhigh density limitbirth-and-death dynamics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Functional limit theorems; invariance principles (60F17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High density limit theorems for nonlinear chemical reactions with diffusion
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Law of large numbers and central limit theorem for linear chemical reactions with diffusion
• Comparison of stochastic and deterministic models of a linear chemical reaction with diffusion
• Law of large numbers in the supremum norm for a chemical reaction with diffusion
• Large deviations for a reaction diffusion model
• Hydrostatics and dynamical large deviations for a reaction-diffusion model
• Large deviations of the empirical currents for a boundary-driven reaction diffusion model
• A particle system with explosions: law of large numbers for the density of particles and the blow-up time
• Deterministic limit of the stochastic model of chemical reactions with diffusion
• Interacting Particle Systems: Hydrodynamic Limit Versus High Density Limit
• Probability