Consider N balls initially placed in L bins. At each time step take a ball from each non-empty bin and randomly reassign all the balls into the bins. We call this finite Markov chain General Repeated Balls into Bins process. It is a discrete time conservative interacting particles system with parallel updates. Assuming a quantitative chaotic condition on the reassignment rule we prove a quantitative propagation of chaos for this model. We furthermore study some equilibrium properties of the limiting nonlinear process.

Propagation of chaos for a general balls into bins dynamics

Nicoletta Cancrini
Membro del Collaboration Group
;
2021

Abstract

Consider N balls initially placed in L bins. At each time step take a ball from each non-empty bin and randomly reassign all the balls into the bins. We call this finite Markov chain General Repeated Balls into Bins process. It is a discrete time conservative interacting particles system with parallel updates. Assuming a quantitative chaotic condition on the reassignment rule we prove a quantitative propagation of chaos for this model. We furthermore study some equilibrium properties of the limiting nonlinear process.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/176691
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