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On the Speed of the One-dimensional Excited Random Walk in the Transient Regime
Excited Random Walk Pertubed Random Walk Law of Large Numbers
2009/6/12
We study a class of nearest-neighbor discrete time integer random walks introduced by Zerner (2005), the so called multi-excited random walks. The jump probabilities for such random walker have a drif...
On the parabolic generator of a general one-dimensional Lévy process
parabolic generator dimensional Lévy processes necessary condition
2009/3/19
The purpose of this note is twofold. Firstly to complete a recent accumulation of results concerning extended version of Ito's formula for any one dimensional Lévy processes, $X$. Secondly, we use the...