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Propagation of chaos for a General Balls into Bins dynamics | | Nicoletta Cancrini
; Gustavo Posta
; | | Date: |
10 Jun 2019 | | Abstract: | Consider $N$ balls initially placed in $L$ bins. At each time step take a
ball from each non-empty bin and emph{randomly} reassign the balls into the
bins.We call this finite Markov chain emph{General Repeated Balls into Bins}
process. It is a discrete time interacting particles system with parallel
updates. Assuming a emph{quantitative} chaotic condition on the reassignment
rule we prove a emph{quantitative} propagation of chaos for this model. We
furthermore study some equilibrium properties of the limiting nonlinear
process. | | Source: | arXiv, 1906.3876 | | Services: | Forum | Review | PDF | Favorites | |
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