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A simple one dimensional glassy Kac model
Random rotation model sparse numerical analysis random
2015/8/21
We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). ...
A non-conservative kinetic exchange model of opinion dynamics with randomness and bounded confidence
non-conservative kinetic exchange model opinion dynamics randomness and bounded confidence Statistical Mechanics
2012/5/17
The concept of a bounded confidence level is incorporated in a nonconservative kinetic exchange model of opinion dynamics model where opinions have continuous values $\in [-1,1]$. The characteristics ...
Dyson's Brownian Motion Model as a Special Case of Dunkl Processes and Dunkl's Intertwining Operators
Dyson's Brownian Motion Model Special Case Dunkl Processes Dunkl's Intertwining Operators
2012/2/27
Dyson's Brownian motion model is a one-parameter family of log-potential interacting particle systems in one dimension parametrized by an inverse temperature beta > 0. When beta = 1, 2 and 4, this mod...
A simple particle model for a system of coupled equations with absorbing collision term
Interacting particle systems large numbers limit absorption
2011/10/10
Abstract: We study a particle model for a simple system of partial differential equations describing, in dimension $d\geq 2$, a two component mixture where light particles move in a medium of absorbin...
A scale-invariant probabilistic model based on Leibniz-like pyramids
scale-invariant probabilistic model Leibniz-like pyramids Statistical Mechanics
2011/9/29
Abstract: We introduce a family of probabilistic {\it scale-invariant} Leibniz-like pyramids and $(d+1)$-dimensional hyperpyramids ($d=1,2,3,...$), characterized by a parameter $\nu>0$, whose value de...