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Showing 1 to 4 of 4 for “"Gibbs measures"”.
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Convergence of Gibbs measures and the behavior of shrinking tubular neighborhoods of fractals and algebraic sets
… process that motivates our definition of a Gibbs measure, which is a certain probability measure on Euclidean space. In this paper we examine a sequence of Gibbs measures characterized by the distance function. In Chapter 2 we conclude that the sequence of measures converge to a Hausdorff …
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Stochastic Mean Field Games within Complex Systems and Interacting Particle Frameworks
… distributions, where the corresponding Radon measures are defined over the entire space with infinite mass. These singular distributions are used to model particle velocities in systems where traditional velocity distributions do not apply. As a result, the particle positions in such systems …
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Stochastic Dynamics on Integrable Lattice Models
… class. In the Z² case, the translation invariant Gibbs measures of the stochastic sixvertex model are stationary measures of the process. Using structure preserving local moves for the dimer model, in Chapter 3 we construct another surface growth model in the AKPZ universality class, which has the …
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An Interacting Particle System for Collective Migration
… ist. Eine entscheidende Rolle spielen hier Gibbs-Maße, die zu zeitlich invarianten Maßen in Beziehung gesetzt werden. Durch eine Simulationsstudie und die Analyse des Einflusses der Parameter Migrationsgeschwindigkeit, Sensitivität der Individuen und (räumliche) Dichte der Anfangsverteilung …