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Creators/Authors contains: "Dolgopyat, Dmitry"

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  1. ; (, Probability Theory and Related Fields)
    Free, publicly-accessible full text available March 11, 2026
  2. ; ; ; (, Nonlinearity)
    Abstract We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the interaction with the environment. We show that, in the diffusive limit, the absolute value of the velocity of the other particle converges to the reflected Brownian motion. In other words, the interaction between the particles is asymptotically negligible in the scaling limit. The proof combines averaging for large energies with large deviation estimates for small energies. 
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    Free, publicly-accessible full text available April 11, 2026
  3. ; ; (, Journal de l’École polytechnique — Mathématiques)
    We construct conservative smooth flows of zero metric entropy which satisfy the classical central limit theorem. 
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  4. ; (, Latin American Journal of Probability and Mathematical Statistics)
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  5. ; (, Probability Theory and Related Fields)
    Full Text Available 
  6. ; (, Advances in Mathematics)
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  7. ; (, Stochastic Processes and their Applications)
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  8. ; ; ; (, Inventiones mathematicae)
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  9. ; ; (, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques)
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  10. ; ; ; (, Israel Journal of Mathematics)
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