info:eu-repo/semantics/article
Recurrence and density decay for diffusion-limited annihilating systems
Fecha
2018-04Registro en:
Cabezas, M.; Trivellato Rolla, Leonardo; Sidoravicius, Vladas; Recurrence and density decay for diffusion-limited annihilating systems; Springer; Probability Theory And Related Fields; 170; 3-4; 4-2018; 587-615
0178-8051
CONICET Digital
CONICET
Autor
Cabezas, M.
Trivellato Rolla, Leonardo
Sidoravicius, Vladas
Resumen
We study an infinite system of moving particles, where each particle is of type A or B. Particles perform independent random walks at rates DA > 0 and DB ≥ 0, and the interaction is given by mutual annihilation A + B → ∅. The initial condition is i.i.d. with finite first moment. We show that this system is site-recurrent, that is, each site is visited infinitely many times. We also generalize a lower bound on the density decay of Bramson and Lebowitz by considering a construction that handles different jump rates.