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20042026
most citedHigh-Order Synchrosqueezing Transform for Multicomponent Signals Analysis -- With an Application to Gravitational-Wave Signal

518 citations

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14 papers · 1 filter

math.DS2025

Left-handed geodesic flow of spheres of revolution

Pierre Dehornoy, Ana Rechtman

A flow on a 3-manifold is left-handed if any two ergodic invariant measures have negative linking number. We prove that on a 2-sphere of revolution whose curvature is -pinched…

math.DS2025

Quenched invariance principle with a rate for random dynamical systems

Zhenxin Liu, Benoit Saussol, Sandro Vaienti +1

In this paper, we consider the quenched invariance principle for random Young towers driven by an ergodic system. In particular, we obtain the Wassertein convergence rate in the qu…

math.DS2025

On a theorem of François Robert

Brigitte Mossé, Sasha Pignol, Elisabeth Remy

A well-known theorem by François Robert expresses the degenerated character of a synchronous Boolean finite dynamical system, in the case where the associated regulatory graph does…

math.DS2024

Finite and infinite degree Thurston maps with a small postsingular set

Nikolai Prochorov

We develop the theory of Thurston maps that are defined everywhere on the topological sphere with a possible exception of a single essential singularity. We establish an anal…

math.DS2024★ 1 cited

Coboundaries and eigenvalues of morphic subshifts

Paul Mercat

We define a morphic subshift as a subshift generated by the image of a substitution subshift by another substitution. In other words, it is the subshift associated with a ultimatel…

math.DS2023

Quantitative recurrence for tranformation

Françoise Pène, Benoit Saussol

We are interested in the study of the asymptotic behaviour of return times in small balls for the -transformation. We exhibit different asymptotic behaviours (different s…