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19962026
most citedQuantum Field Theory in the Large N Limit: a review

513 citations

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Showing 2023 · math.DSShow all

8 papers · 2 filters

math.DS2023

Hyperbolic isometries of the fine curve graph of higher genus surfaces

Pierre-Antoine Guihéneuf, Emmanuel Militon

We prove that for a homeomorphism f that is isotopic to the identity on a closed hyperbolic surface, the following are equivalent: * f acts hyperbolically on the fine curve graph;…

math.DS2023

Geodesic tracking and the shape of ergodic rotation sets

Alejo García-Sassi, Pierre-Antoine Guihéneuf, Pablo Lessa

We prove a structure theorem for ergodic homological rotation sets of homeomorphisms isotopic to the identity on a closed orientable hyperbolic surface: this set is made of a finit…

math.DS2023

Discrete and Continuous Weak KAM Theory: an introduction through examples and its applications to twist maps

Maxime Zavidovique

The aim of these notes is to present a self contained account of discrete weak KAM theory. Put aside the intrinsic elegance of this theory, it is also a toy model for classical wea…

math.DS2023

Continuous 2-colorings and topological dynamics

Dominique Lecomte

We first consider the class K of graphs on a zero-dimensional metrizable compact space with continuous chromatic number at least three. We provide a concrete basis of size continuu…

math.DS2023

The space of actions of on a one-dimensional manifold is path-connected

Hélène Eynard-Bontemps, Andrés Navas

We show path-connectedness for the space of actions by diffeomorphisms with absolutely continuous derivative on both the closed interval and the circle. We als…

math.DS2023

Area preserving homeomorphisms of surfaces with rational rotational direction

Pierre-Antoine Guihéneuf, Patrice Le Calvez, Alejandro Passeggi

Let be a closed surface of genus , furnished with a Borel probability measure with total support. We show that if is a -preserving homeomorphism isotopic to…