We prove that the process of the most visited site of Sinai's simple random walk in random environment is transient. The rate of escape is characterized via an integral criterion. Our method also applies to a class of recurrent diffusion processes with random potentials. It is interesting to note that the corresponding problem for the usual symmetric Bernoulli walk or for Brownian motion remain...

Dynamic, heterogenous and distributively owned resource environments present unique challenges to the problems of resource representation, allocation and management. Conventional resource management methods that rely on static models of resource allocation policy and behavior fail to address these challenges. We previously argued that Matchmaking provides an elegant and robust solution to resou...

In this paper, we re-visit the problem of unconditionally secure multiparty set intersection in information theoretic model. Li et.al [24] have proposed a protocol for n-party set intersection problem, which provides unconditional security when t < n 3 players are corrupted by an active adversary having unbounded computing power. Moreover, they have claimed that their protocol takes six rounds ...