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A classical problem in the field of disordered systems is to understand the behaviour of a directed polymer interaction with a random environment. Mathematically the directed polymer is modeled by a directed random random walk and the random environment is a sequence of random variables which can interact with the random Understanding the typical trajectories of the the walk is a very challenging issue and several results have been exponential moments. In this talk we consider the case of a heavy-tail random environment that is the environment Directed polymer in a heavy-tail random environment
Ateliers proposés à un public scolaire, sur inscription.
Colloque organisé à l’Assemblée Nationale le Samedi 11 février 2012.
"La sculpture à la "Petite Ecole" ( 1832-1866)"
Immanuel Wallerstein. De la sociologie du développement à l'histoire globale.
"Le négatif à l'oeuvre dans le processus adolescent"
"Aspects de l'imaginaire littéraire du désert à l'ère post-coloniale."
"Le Bazar face à I 'Archive. Une archéologie du discontinu"
"Géomécanique fractale, isolation dlun site à l'aide du métamatériaux sismique"
Résumé A step-reinforced random walk is a discrete-time stochastic process with long-range dependence dependence. At each step with a fixed probability the so-called positively step-reinforcedrandom walk repeats randomwalk respectively. In this talk we introduce a new class of unbalanced step-reinforced random walks central limit theorem. In particular our work provides a unified treatment of the famous elephant random walk On a class of unbalanced step-reinforced random walks