71 research outputs found

    Two populations mean-field monomer-dimer model

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    A two populations mean-field monomer-dimer model including both hard-core and attractive interactions between dimers is considered. The pressure density in the thermodynamic limit is proved to satisfy a three-dimensional variational principle. A detailed analysis is made in the limit in which one population is much smaller than the other and a ferromagnetic mean-field phase transition is found.Comment: 12 pages, 2 figure

    Homework 8

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    Deadline: 11/25/201

    Homework 3, Week 4

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    Deadline: 10/14/201

    FINAL EXAM, 5 September 2016, SOLUTIONS

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    Homework 13

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    Homework 13

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    Deadline: 03/10/201

    Homework 3, 25 November 2016

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    Deadline: 2 December 201

    Homework 14

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    Homework 11, May 9th 2018

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