2 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
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…
What mathematical billiards teach us about statistical physics?
Péter Bálint, Thomas Gilbert, Domokos Szász +1
We survey applications of the theory of hyperbolic (and to a lesser extent non hyperbolic) billiards to some fundamental problems of statistical physics and their mathematically ri…
Entropy and Hausdorff Dimension in Random Growing Trees
Anna Rudas, Imre Péter Tóth
We investigate the limiting behavior of random tree growth in preferential attachment models. The tree stems from a root, and we add vertices to the system one-by-one at random, ac…