Laboratoire de Tribologie et Dynamique des Systèmes

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20032026

most citedMicroscopic mechanism for the shear-thickening of non-Brownian suspensions

264 citations

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10 papers · 1 filter

math.DS2025

Geometric normalization

Alain Chenciner, David Sauzin, Qiaoling Wei

For a local analytic diffeomorphism of the plane with an irrational elliptic fixed point at 0, we introduce the notion of ``geometric normalization'', which includes the classical…

math.DS2023

Thermodynamic Formalism and Perturbation Formulae for Quenched Random Open Dynamical Systems

Jason Atnip, Gary Froyland, Cecilia Gonzalez-Tokman +1

We develop a quenched thermodynamic formalism for open random dynamical systems generated by finitely branched, piecewise-monotone mappings of the interval. The openness refers to…

math.DS2022

Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory

Jason Atnip, Gary Froyland, Cecilia Gonzalez-Tokman +1

We consider quasi-compact linear operator cocycles $L_{ω}^{n} := L_{σ^{n - 1} ω} \circ \dots \circ L_{σ ω} \circ L_{ω}$ driven by an invertible ergodic pr…

math.DS2022

Combinatorics of the paths towards synchronization

A España, X Leoncini, E Ugalde

In this paper, we introduce a codification of the paths towards synchronization for synchronizing flows defined over a network. The collection of paths toward synchronization defin…

math.DS2021

Number of visits in arbitrary sets for $ϕ$ -mixing dynamics

Sandro Gallo, Nicolai Haydn, Sandro Vaienti

It is well-known that, for sufficiently mixing dynamical systems, the number of visits to balls and cylinders of vanishing measure is approximately Poisson compound distributed in…

math.DS2021★ 1 cited

Thermodynamic Formalism for Random Interval Maps with Holes

Jason Atnip, Gary Froyland, Cecilia González-Tokman +1