From the binomial reshuffling model to Poisson distribution of money
F Cao, NF Marshall - arXiv preprint arXiv:2212.14388, 2022 - arxiv.org
We present a novel reshuffling exchange model and investigate its long time behavior. In
this model, two individuals are picked randomly, and their wealth $ X_i $ and $ X_j $ are …
this model, two individuals are picked randomly, and their wealth $ X_i $ and $ X_j $ are …
Concentration and local smoothness of the averaging process
F Sau - Electronic Journal of Probability, 2024 - projecteuclid.org
We consider the averaging process on the discrete d-dimensional torus. On this graph, the
process is known to converge to equilibrium on diffusive timescales, not exhibiting cutoff. In …
process is known to converge to equilibrium on diffusive timescales, not exhibiting cutoff. In …
Spectral gap of the symmetric inclusion process
We consider the symmetric inclusion process on a general finite graph. Our main result
establishes universal upper and lower bounds for the spectral gap of this interacting particle …
establishes universal upper and lower bounds for the spectral gap of this interacting particle …
One-and two-particle spectral gap identities for the symmetric inclusion process and related models
S Kim, F Sau - arXiv preprint arXiv:2412.01489, 2024 - arxiv.org
The symmetric inclusion process (SIP) models particles diffusing on a graph with mutual
attraction. We recently showed that, in the log-concave regime (where diffusivity dominates …
attraction. We recently showed that, in the log-concave regime (where diffusivity dominates …
Limiting distributions of generalized money exchange models
H Sakagawa - arXiv preprint arXiv:2501.02490, 2025 - arxiv.org
The" Money Exchange Model" is a type of agent-based simulation model used to study how
wealth distribution and inequality evolve through monetary exchanges between individuals …
wealth distribution and inequality evolve through monetary exchanges between individuals …