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Some Notes on Topological Recurrence
Topological recurrence invariant measures iterated function systems laws of pure types
2009/4/24
We review the concept of topological recurrence for weak Feller Markov chains on compact state spaces and explore the implications of this concept for the ergodicity of the processes. We also prove so...
Recurrence and transience of excited random walks on $Z^d$ and strips
Excited Random Walk Recurrence Self-Interacting Random Walk Transience
2009/4/22
We investigate excited random walks on $Z^d, dge 1,$ and on planar strips $Ztimes{0,1,ldots,L-1}$ which have a drift in a given direction. The strength of the drift may depend on a random i.i.d. envir...
Recurrence and transience of excited random walks on $Z^d$ and strips
Recurrence transience random walk
2009/4/1
We investigate excited random walks on $Z^d, dge 1,$ and on planar strips $Ztimes{0,1,ldots,L-1}$ which have a drift in a given direction. The strength of the drift may depend on a random i.i.d. envir...