most citedReduced-symmetry two-dimensional solitons in photonic lattices

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math.PR2005★ 1 cited

Valleys and the maximum local time for random walk in random environment

Amir Dembo, Nina Gantert, Yuval Peres +1

Let be the local time at for a recurrent one-dimensional random walk in random environment after steps, and consider the maximum . It is k…

math.PR2005★ 2 cited

Difference prophet inequalities for [0,1]-valued i.i.d. random variables with cost for observations

Holger Kosters

Let X_1,X_2,... be a sequence of [0,1]-valued i.i.d. random variables, let c\geq 0 be a sampling cost for each observation and let Y_i=X_i-ic, i=1,2,.... For n=1,2,..., let M(Y_1,.…