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20092026
most citedUsing Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data

633 citations

Showing 2012Show all

10 papers · 1 filter

math.FA2012

Approximation numbers of composition operators on the Dirichlet space

Pascal Lefèvre, Daniel Li, Luis Rodriguez-Piazza +1

We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on…

math.HO2012

Autour de pratiques algébriques de Poincaré : héritages de la réduction de Jordan

Frederic Brechenmacher

The legacy of Jordan's canonical form on Poincaré's algebraic practices. This paper proposes a transversal overview on Henri Poincaré's early works (1878-1885). Our investigations…

math.HO2012

La fonte algébrique des Méthodes nouvelles de la mécanique céleste d'Henri Poincaré

Frederic Brechenmacher

Poincaré's approach to the three body problem has often been celebrated as a starting point of chaos theory in relation to the investigation of dynamical systems. Yet, Poincaré's s…

math-ph2012★ 73 cited

Ergodicity breaking in geometric Brownian motion

Ole Peters, William Klein

Geometric Brownian motion (GBM) is a model for systems as varied as financial instruments and populations. The statistical properties of GBM are complicated by non-ergodicity, whic…

math.RA2012

Ring Endomorphisms with Large Images

André Leroy, Jerzy Matczuk

The notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that…

math.RA2012

ADS modules

Adel Alahmadi, S. K. Jain, André Leroy

We study the class of ADS rings and modules introduced by Fuchs. We give some connections between this notion and classical notions such as injectivity and quasi-continuity. A simp…