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

513 citations

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Showing 2020 · math.DSShow all

6 papers · 2 filters

math.DS2020

Almost blenders and parablenders

Sébastien Biebler

A blender for a surface endomorphism is a hyperbolic basic set for which the union of the local unstable manifolds contains robustly an open set. Introduced by Bonatti and D{í}az i…

math.DS2020

Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2

Marie-Claude Arnaud, Maxime Zavidovique

The two main results of this paper concern the regularity of the invariant foliation of a C0-integrable symplectic twist diffeomorphisms of the 2-dimensional annulus, namely that $…

math.DS2020★ 5 cited

Generalized Koch curves and Thue-Morse sequences

Yao-Qiang Li

Let be the well konwn Thue-Morse sequence Since the 1982-1983 work of Coquet and Dekking, it is known that $\sum_{k<n}t_k…

math.DS2020

Denjoy sub-systems and horseshoes

Marie-Claude Arnaud

We introduce a notion of weak Denjoy subsystem (WDS) that generalizes the Aubry-Mather Cantor sets to diffeomorphisms of manifolds. We explain how a rotation number can be associat…

math.DS2020

Berger And Turaev's Proof of Herman's Conjecture of Positive Entropy

Marie-Claude Arnaud

We present the proof of Berger and Turaev of Herman's positive entropy conjecture. In every neighbourhood of identity in the set of smooth symplectic diffeomorphisms of the 2-dimen…

math.DS2020

Théorie de forçage des homéomorphismes de surface [d'après Le Calvez et Tal]

Pierre-Antoine Guiheneuf

In 1912 Brouwer published his translation theorem, which implies, for example, that an orientation preserving homeomorphism of the plane having a periodic point also has a fixed po…