Il giorno Mercoledi' 25 marzo 2015, alle ore 14:00, nell'Aula G del Dipartimento di Matematica dell'Universita' la Sapienza di Roma

 Elena Kosygina (Baruch College and the CUNY Graduate Center)

effettuera' un seminario di circa un'ora: 

TITOLO: Excited random walks in Markovian cookie environments on Z

SUNTO: We consider a nearest-neighbor random walk on Z whose probability ω(x,

n) to jump to the right from site x depends not only on x but also on

the number of prior visits n to x. The collection (ω(x, n)) is

sometimes called the “cookie environment” due to the following

informal interpretation. Upon each visit to a site the walker eats a

cookie from the cookie stack at that site and chooses the probability

to jump to the right according to the “flavour” of the cookie eaten.

Assume that the cookie stacks are i.i.d. and that only the first M

cookies in each stack may have “flavour”. All other cookies are

assumed to be “plain”, i.e. after their consumption the walker makes

unbiased steps to one of its neighbours. The “flavours” of the first M

cookies within the stack can be different and dependent. We discuss

recurrence/transience, ballisticity, and limit theorems for such

walks. The talk is based on joint works with Dolgopyat (University of

Mary-land), Mountford, Zerner.

Tutti gli interessati sono invitati a partecipare

Un saluto

 Mauro Mariani