Lectures on Dimers

By Richard Kenyon. 2009

232 citations recorded by the source corpus.

These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

Subfields: Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7513559bf0c3a1a3959984c1af46e38b33d2ad36

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In Mathematical Physics

1. Boris A. Springborn
2. Ulrich Pinkall
3. Alexander I. Bobenko
4. Alexei Borodin
5. Xu Xu
6. Grigori Olshanski
7. Ivan Corwin
8. Feng Luo

In Statistics and Probability

1. Alexei Borodin
2. L. Petrov
3. Ivan Corwin
4. Grigori Olshanski
5. Jeremy Quastel
6. P. Ferrari

Citations in the corpus

• Determinantal point processes (2018, background): “ correlation kernel is the matrix Kintroduced above. The theory of random dimer covers is a deep and beautiful subject that has been actively developing over the last 15 years. We refer the reader to [Ken08] and references therein for further details. 14 8 Uniform spanning trees Let G be a finite con”
• Discrete conformal maps and ideal hyperbolic polyhedra (2010, background): “(See in particular Kenyon’s survey article on dimers [18] and Mikhalkin’s survey article on amoebas [26].”