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math.PR2014
Application of moderate deviation techniques to prove Sinai's Theorem on RWRE
Marcelo Ventura Freire
We apply the techniques developed in Comets and Popov (2003) to present a new proof to Sinai's theorem (Sinai, 1982) on one-dimensional random walk in random environment (RWRE), wo…
math.PR2005★ 4 cited
Percolation for the stable marriage of Poisson and Lebesgue
Marcelo Ventura Freire, Serguei Popov, Marina Vachkovskaia
Let be the set of points (we call the elements of centers) of Poisson process in , , with unit intensity. Consider the allocation of to which is s…