output
20022014
most citedTopological and Dynamical Complexity of Random Neural Networks

126 citations

Showing 2012Show all

11 papers · 1 filter

math.AP20124 cited

Stability estimates for the Radon transform with restricted data and applications

Pedro Caro, David Dos Santos Ferreira, Alberto Ruiz

In this article, we prove a stability estimate going from the Radon transform of a function with limited angle-distance data to the norm of the function itself, under some co…

math-ph2012126 cited

Topological and Dynamical Complexity of Random Neural Networks

Gilles Wainrib, Jonathan Touboul

Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microsco…

math.AT20123 cited

The Cobordism Hypothesis in Dimension 1

Yonatan Harpaz

In 2009 Lurie published an expository article outlining a proof for a higher version of the cobordism hypothesis conjectured by Baez and Dolan in 1995. In this note we give a proof…

math.CA2012

Local Multifractal Analysis

Julien Barral, Arnaud Durand, Stéphane Jaffard +1

We introduce a local multifractal formalism adapted to functions, measures or distributions which display multifractal characteristics that can change with time, or location. We de…

math.CA2012

On the monotonicity criteria of the period function of potential systems

A. Raouf Chouikha

The purpose of this paper is to study various monotonicity conditions of the period function (energy-dependent) for potential systems with a center at the…

math.PR2012

On the external branches of coalescents with multiple collisions

Jean-Stephane Dhersin, Martin Moehle

A recursion for the joint moments of the external branch lengths for coalescents with multiple collisions (-coalescents) is provided. This recursion is used to derive asymptotic…