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SCALING LIMITS OF RECURRENT EXCITED RANDOM WALKS ON INTEGERS
Limit random walk RECURRENT EXCITED
2015/9/29
We describe scaling limits of recurrent excited random walks (ERWs) on
Z in i.i.d. cookie environments with a bounded number of cookies per site. We allow
both positive and negative excitations.
EXCURSIONS AND OCCUPATION TIMES OF CRITICAL EXCITED RANDOM WALKS
EXCURSIONS AND OCCUPATION TIMES EXCITED RANDOM WALKS
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...
Excited Brownian motions as limits of excited random walks
Excited Brownian motions limits of excited random walks
2010/12/14
We obtain the convergence in law of a sequence of excited (also called cookies) random walks toward an excited Brownian motion. This last process is a continuous semi-martingale whose drift is a funct...