We give new criteria for ballistic behavior of random walks in random environment which are perturbations of the simple symmetric random walk on in dimensions . Our results extend those of Sznitman [Ann. Probab. 31, no. 1, 28...

Communications in Mathematical Physics, accepted Apr 2019 [Refereed]

We consider a discrete time biased random walk conditioned to avoid Bernoulli obstacles on () up to time . This model is known to undergo a phase transition: for a large bias, the walk is ballistic whereas for a small b...

Annals of Applied Probability, accepted 2019 [Refereed]

We study a continuum model of directed polymer in random environment. The law of the polymer is defined as the Brownian motion conditioned to survive among space-time Poissonian disasters. This model is well-studied in the positive temperature reg...