More random walks on random walks

Categoria: 
Seminari di Probabilità
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Aula E
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker: 

O. Blondel (Lyon, CNRS)

We consider a Poissonian distribution of particles performing independent simple random walks. Simultaneously, on top of this system, a random walker evolves with a drift to the right when it is on top of (at least) a particle, to the left when it is on an empty site. We obtain a LLN, CLT and large deviation bounds in high and low density. Joint work with Marcelo Hilario, Renato dos Santos, Vladas Sidoravicius, Augusto Teixeira.

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