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A nontrivial scaling limit for multiscale Markov chains

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Publication:878345
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DOI10.1007/s10955-006-9237-1zbMath1114.82020OpenAlexW2070031760MaRDI QIDQ878345

Eric Vanden-Eijnden, R. E. Lee Deville

Publication date: 26 April 2007

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-006-9237-1


zbMATH Keywords

scaling limitMarkov chainlarge deviationsdeterministic dynamicsmolecular motorsself-induced stochastic resonance


Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)


Related Items (1)

Coherent neural oscillations induced by weak synaptic noise



Cites Work

  • The theory of stochastic processes. I. Translated from the Russian by S. Kotz.
  • Self-induced stochastic resonance in excitable systems
  • ON STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS WITH FAST AND SLOW COMPONENTS
  • The Role of Protein Flexibility in Molecular Motor Function: Coupled Diffusion in a Tilted Periodic Potential
  • On stable oscillations and equilibriums induced by small noise
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