Statistical Mechanics and the Tutte Polynomial
Speaker: Nathan Hayford
Date/Time: Friday, January 28th, 2:00 pm
Abstract: The Tutte polynomial is a well-known graph invariant, from which many important graph-theoretic properties can be read off. We discuss the equivalence of this polynomial to an important model in statistical physics: the q-Potts model, which is a generalization of the simplistic model of a magnet (the Ising model). We use this equivalence to develop the well-known high-temperature expansion of the Potts model. Furthermore, we discuss what we can learn about graph theory from statistical mechanics, and vice versa.
Видео Statistical Mechanics and the Tutte Polynomial канала USF GradMath
Date/Time: Friday, January 28th, 2:00 pm
Abstract: The Tutte polynomial is a well-known graph invariant, from which many important graph-theoretic properties can be read off. We discuss the equivalence of this polynomial to an important model in statistical physics: the q-Potts model, which is a generalization of the simplistic model of a magnet (the Ising model). We use this equivalence to develop the well-known high-temperature expansion of the Potts model. Furthermore, we discuss what we can learn about graph theory from statistical mechanics, and vice versa.
Видео Statistical Mechanics and the Tutte Polynomial канала USF GradMath
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