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Brownian Polymers in Poissonian Environment: a survey

Abstract : We consider a space-time continuous directed polymer in random environment. The path is Brownian and the medium is Poissonian. We review many results obtained in the last decade, and also we present new ones. In this fundamental setup, we can make use of fine formulas and strong tools from stochastic analysis for Gaussian or Poisson measure, together with martingale techniques. These notes cover the matter of a course presented during the Jean-Morlet chair 2017 of CIRM "Random Structures in Statistical Mechanics and Mathematical Physics" in Marseille.
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https://hal.archives-ouvertes.fr/hal-01837909
Contributor : Clement Cosco <>
Submitted on : Thursday, July 12, 2018 - 11:59:46 PM
Last modification on : Friday, April 10, 2020 - 5:13:38 PM
Document(s) archivé(s) le : Monday, October 15, 2018 - 1:38:43 PM

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  • HAL Id : hal-01837909, version 1
  • ARXIV : 1805.10899

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Francis Comets, Clément Cosco. Brownian Polymers in Poissonian Environment: a survey. 2018. ⟨hal-01837909⟩

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