Continuous limits of classical repeated interaction systems

DOI10.1007/s00023-012-0179-7zbMath1362.60055arXiv1111.0751OpenAlexW2040631058MaRDI QIDQ1936411

Julien Deschamps

Publication date: 4 February 2013

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.0751

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Continuum limits in quantum field theory (81T27) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems in classical and celestial mechanics (37N05) Transition functions, generators and resolvents (60J35) Dynamics of multibody systems (70E55)

Cites Work

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• From repeated to continuous quantum interactions
• On preserving long-time features of a linear stochastic oscillator
• A survey of numerical methods for stochastic differential equations
• Stochastic oscillators
• Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
• Markov Chains and Dynamical Systems: The Open System Point of View

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