We investigate excited random walks on $\Z^d, d\ge 1,$ and on planar strips$\Z\times\{0,1,...,L-1\}$ which have a drift in a given direction. The strengthof the drift may depend on a random i.i.d. environment and on the local time ofthe walk. We give exact criteria for recurrence and transience, thusgeneralizing results by Benjamini and Wilson for once-excited random walk on$\Z^d$ and by the author for multi-excited random walk on $\Z$.
展开▼
机译：我们研究了在$ \ Z ^ d，d \ ge 1，$和平面条$ \ Z \ times \ {0,1，...，L-1 \} $上的兴奋随机游走，其中给定漂移方向。漂移的强度可能取决于随机i.d.环境和当地步行时间。我们给出了重复和瞬态的确切标准，从而概括了Benjamini和Wilson对于$ \ Z ^ d $的一次激励随机行走以及对于$ \ Z $的多激励随机行走的结果。
展开▼
