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math.PR2025
Spectral Gap for the Stochastic Exchange Model
Eric A. Carlen, Gustavo Posta, Imre Péter Tóth
We prove a spectral gap inequality for the stochastic exchange model studied by Gaspard and Gilbert and by Grigo, Khanin and Szász in connection with understanding heat conduction…
math.PR2025
Lonely passenger problem: the more buses there are, the more lonely passengers there will be
Imre Péter Tóth
Empty buses are standing at a bus station. passengers arrive, and they each board a bus completely at random (meaning that they choose uniformly and independently). Then all bu…