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EXCURSIONS AND OCCUPATION TIMES OF CRITICAL EXCITED RANDOM WALKS
EXCURSIONS AND OCCUPATION TIMES EXCITED RANDOM WALKS
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2015/9/29
We consider excited random walks (ERWs) on integers in i.i.d. environments with a bounded number of excitations per site. The emphasis is primarily on
the critical case for the transition between rec...
Random walks on finite rank solvable groups
random walk heat kernel decay asymptotic invariants of infinite groups Prüfer rank – solvable group
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2015/8/26
We establish the lower bound p2t (e, e) exp(−t1/3), for the large times asymptotic
behaviours of the probabilities p2t (e, e) of return to the origin at even times 2t, for
random walks assoc...
Mixing times for random walks on geometric random graphs
Random geometric random graph nodes wireless network model and threshold properties random walk figure d dimension
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2015/8/11
A geometric random graph, G^d(n,r), is formed as follows: place n nodes uniformly at random onto the surface of the d-dimensional unit torus and connect nodes which are within a distance r of each oth...