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math.PR2018
Borodin-Péché fluctuations of the free energy in directed random polymer models
Zsófia Talyigás, Bálint Vető
We consider two directed polymer models in the Kardar-Parisi-Zhang (KPZ) universality class: the O'Connell-Yor semi-discrete directed polymer with boundary sources and the continuu…
math.PR2010
Random Walk in Periodic Environment
Istvan Redl, Balint Veto
We consider a special case of random walk in random environment (RWRE) on Z^d where the environment is periodic (RWPE). Under natural conditions, we show that law of large numbers…