Displaying similar documents to “The geometry of dimer models”

Lefschetz Fibrations and real Lefschetz fibrations

Nermin Salepci (2014)

Winter Braids Lecture Notes

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This note is based on the lectures that I have given during the winter school Winter Braids IV, School on algebraic and topological aspects of braid groups held in Dijon on 10 - 13 February 2014. The aim of series of three lectures was to give an overview of geometrical and topological properties of 4-dimensional Lefschetz fibrations. Meanwhile, I could briefly introduce real Lefschetz fibrations, fibrations which have certain symmetry, and could present some...

Invariant measures and long-time behavior for the Benjamin-Ono equation

Yu Deng, Nikolay Tzvetkov, Nicola Visciglia (2014)

Journées Équations aux dérivées partielles

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We summarize the main ideas in a series of papers ([], [], [], []) devoted to the construction of invariant measures and to the long-time behavior of solutions of the periodic Benjamin-Ono equation.

On Gelfond’s conjecture about the sum of digits of prime numbers

Joël Rivat (2009)

Journal de Théorie des Nombres de Bordeaux

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The goal of this paper is to outline the proof of a conjecture of Gelfond [] (1968) in a recent work in collaboration with Christian Mauduit [] concerning the sum of digits of prime numbers, reflecting the lecture given in Edinburgh at the Journées Arithmétiques 2007.

A New Mathematical Model of Syphilis

F. A. Milner, R. Zhao (2010)

Mathematical Modelling of Natural Phenomena

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The CDC launched the National Plan to Eliminate Syphilis from the USA in October 1999 . In order to reach this goal, a good understanding of the transmission dynamics of the disease is necessary. Based on a SIRS model Breban   provided some evidence that supports the feasibility of the plan proving that no recurring outbreaks should occur for syphilis. We study in this work a syphilis model that includes partial...

Gibbs-Markov-Young structures, ,

Carla L. Dias (2012)

ESAIM: Proceedings

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We discuss the geometric structures defined by Young in [9, 10], which are used to prove the existence of an ergodic absolutely continuous invariant probability measure and to study the decay of correlations in expanding or hyperbolic systems on large parts.