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19 papers · 1 filter
Turbulent-laminar patterns in plane Couette flow
Dwight Barkley, Laurette S. Tuckerman
Regular patterns of turbulent and laminar fluid motion arise in plane Couette flow near the lowest Reynolds number for which turbulence can be sustained. We study these patterns us…
Dyson's Brownian motions, intertwining and interlacing
Jon Warren
A family of reflected Brownian motions is used to construct Dyson's process of non-colliding Brownian motions. A number of explicit formulae are given, including one for the distri…
Configurational Temperature in Membrane Simulations Using Dissipative Particle Dynamics
Michael P. Allen
The use of excessively long timesteps in dissipative particle dynamics simulations may produce simulation artifacts due to the generation of configurations which are not representa…
A class of Garside groupoid structures on the pure braid group
Daan Krammer
We construct a class of Garside groupoid structures on the pure braid groups, one for each function (called labelling) from the punctures to the integers greater than 1. The object…
Random orderings of the integers and card shuffling
Saul Jacka, Jon Warren
In this paper we study random orderings of the integers with a certain invariance property. We describe all such orders in a simple way. We define and represent random shuffles of…
Improved mixing bounds for the anti-ferromagnetic Potts model on Z^2
Leslie Ann Goldberg, Markus Jalsenius, Russell Martin +1
We consider the anti-ferromagnetic Potts model on the the integer lattice Z^2. The model has two parameters, q, the number of spins, and λ=\exp(-β), where βis ``inverse temperature…