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A Gaussian upper bound for the iterated kernels of Markov chains is obtained under some natural conditions. This result applies in particular to simple random walks on any locally compact unimodular g...
Probability on Groups: Random Walks and Invariant Diffusions
Invariant Diffusions Random Walks
2015/8/26
What do card shuffling, volume
growth, and Harnack inequalities
have to do with each other? They all
arise in the study of random walks
on groups. Probability on groups is
concerned with probabil...
ON SQUARE ROOTS OF THE UNIFORM DISTRIBUTION ON COMPACT GROUPS
Separate topology group probability quaternion group organization properties
2015/7/14
Let G be a compact separable topological group. When does there exist a
probability P such that P P = U ,where U is Haarmeasure and P + U? We show
that such square roots exist if and only if G is ...
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS
Moderate growth random walk limited group
2015/7/14
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
Martingale transform and Levy Processes on Lie Groups
Martingale transform Levy Processes Lie Groups Probability
2012/6/29
This paper constructs a class of martingale transforms based on L\'evy processes on Lie groups. From these, a natural class of bounded linear operators on the $L^p$-spaces of the group (with respect t...
Random maximal isotropic subspaces and Selmer groups
Random maximal isotropic subspaces Selmer groups
2010/11/26
Selmer groups. D. R. Heath-Brown [HB93, HB94] and P. Swinnerton-Dyer [SD08]obtained the distribution for the nonnegative integer s(E) defined as the F2-dimension of the 2-Selmer group Sel2(E) minus th...
Limit sets of relatively hyperbolic groups
dynamical quasiconvexity relative hyperbolicity limit sets
2010/12/1
In this paper, we prove a limit set intersection theorem in rela-tively hyperbolic groups. We also show that a nonparabolic relatively quasicon-vex subgroup cannot contain a proper conjugate of itself...