Ilya Bronshtein

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The problem of counting monomer-dimer coverings of a lattice is a longstanding problem in statistical mechanics. It has only been exactly solved for the special case of dimer coverings in two dimensions ((Kas61), (TF61)). In earlier work, Stanley (Sta85) proved a reciprocity principle governing the number N(m, n) of dimer coverings of an m by n rectangular(More)
Writing a book on classical mechanics is a very daring enterprise. Hundreds of people have done it before you, so you must be ready to face critical remarks from different perspectives. Be sure that roughly half of your readers will say that there is not enough physics in the book, and the other half will complain about a lack of mathematical rigor. I(More)
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