Markov evolutions and hierarchical equations in the continuum: II. Multicomponent systems

Abstract

General birth-and-death as well as hopping stochastic dynamics of infinite multicomponent particle systems in the continuum are considered. We derive the corresponding evolution equations for quasi-observables and correlation functions. We also present sufficient conditions that allows us to consider these equations on suitable Banach spaces.

31 pages

References in corpus (4)

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• Spatial birth and death processes as solutions of stochastic equations
• Existence and spatial limit theorems for lattice and continuum particle systems
• Evolution in predator-prey systems

Cited by in corpus (6)

• Non-equilibrium dynamics for a Widom-Rowlinson type model with mutations
• Dynamical Widom-Rowlinson model and its mesoscopic limit
• Statistical dynamics of continuous systems: perturbative and approximative approaches
• Evolution of states and mesoscopic scaling for two-component birth-and-death dynamics in continuum
• Stochastic averaging for a spatial population model in random environment
• A Widom-Rowlinson Jump Dynamics in the Continuum