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19952026
most citedInverse Problem for a Curved Quantum Guide

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75 papers · 1 filter

math.DS2025

Conjugacies of geodesic flows in affine cylinders and tori

Xavier Buff, Guillaume Tahar

Affine cylinders (genus zero surfaces with two singularities) and affine tori (genus one surfaces without singularities) are among the simplest examples of surfaces endowed with a…

math.DS2024

Characterization of the set of zero-noise limits measures of perturbed cellular automata

Hugo Marsan, Mathieu Sablik

We add small random perturbations to a cellular automaton and consider the one-parameter family parameterized by where is the level of noise. The objective…

math.DS2024

Cubic Siegel polynomials and the bifurcation measure

Matthieu Astorg, Davoud Cheraghi, Arnaud Chéritat

We prove that cubic polynomial maps with a fixed Siegel disk and a critical orbit eventually landing inside that Siegel disk lie in the support of the bifurcation measure. This ans…

math.DS2024

The Saito vector field of a germ of complex plane curve

Yohann Genzmer

In this article, we prove that an algorithm introduced by the author in a previous work and giving the generic dimension of the moduli space of a germ of curve in the complex plane…

math.DS2024

Connected McMullen-like Julia sets in a Chebyshev-Halley Family

Jordi Canela, Antonio Garijo, Pascale Roesch

In this paper we study a one parameter family of rational maps obtained by applying the Chebyshev-Halley root finding algorithms. We show that the dynamics near parameters where th…

math.DS2023

Hénon maps: a list of open problems

Pierre Berger, Eric Bedford, Fabrizio Bianchi +13

We propose a set of questions on the dynamics of Hénon maps from the real, complex, algebraic and arithmetic points of view.