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Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation II: upper bound on the volume exponent
Streched Polymer Quenched Disorder Superdiffusivity Brownian Motion Poissonian Obstacles Correlation
2011/8/26
Abstract: This paper continues a study on trajectories of Brownian Motion in a field of soft trap whose radius distribution is unbounded. We show here for both point-to-point and point-to-plane model ...
Distribution of the systolic volume of homology classes
Systolic volume homology of a group with integer coefficients
2010/12/6
Given a pair (G, a) where G is a finitely presentable group and a is an integer homology class of this group, Gromov defined in [Gro83] a new numerical invariant associated to this pair called systoli...