Finite width for a random stationary interface.
Mueller, C., Tribe, R. (1997)
Electronic Journal of Probability [electronic only]
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Mueller, C., Tribe, R. (1997)
Electronic Journal of Probability [electronic only]
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Carmona, Philippe, Coutin, Laure (1998)
Electronic Communications in Probability [electronic only]
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Iribarren, Ileana, León, José R. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Emmanuel Cépa, Dominique Lépingle (2001)
ESAIM: Probability and Statistics
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The brownian motion model introduced by Dyson [7] for the eigenvalues of unitary random matrices is interpreted as a system of interacting brownian particles on the circle with electrostatic inter-particles repulsion. The aim of this paper is to define the finite particle system in a general setting including collisions between particles. Then, we study the behaviour of this system when the number of particles goes to infinity (through the empirical measure process). We prove that...