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19932026
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351 citations · 2.7k across the 82 of their papers we have counts for

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math-ph2024★ 1 cited

Tumbling Downhill along a Given Curve

Jean-Pierre Eckmann, Yaroslav I. Sobolev, Tsvi Tlusty

A cylinder will roll down an inclined plane in a straight line. A cone will roll around a circle on that plane and then will stop rolling. We ask the inverse question: For which cu…

math-ph2022★ 6 cited

Instabilities Appearing in Cosmological Effective Field theories: When and How?

Jean-Pierre Eckmann, Farbod Hassani, Hatem Zaag

Nonlinear partial differential equations appear in many domains of physics, and we study here a typical equation which one finds in effective field theories (EFT) originated from c…

math-ph2017★ 25 cited

Non-Equilibrium Steady States for Networks of Oscillators

Noé Cuneo, Jean-Pierre Eckmann, Martin Hairer +1

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been th…

math-ph2014★ 42 cited

The Colored Hofstadter Butterfly for the Honeycomb Lattice

Andrea Agazzi, Jean-Pierre Eckmann, Gian Michele Graf

We rely on a recent method for determining edge spectra and we use it to compute the Chern numbers for Hofstadter models on the honeycomb lattice having rational magnetic flux per…

math-ph2012★ 2 cited

Trees of nuclei and bounds on the number of triangulations of the 3-ball

Pierre Collet, Jean-Pierre Eckmann, Maher Younan

Based on the work of Durhuus-J{ó}nsson and Benedetti-Ziegler, we revisit the question of the number of triangulations of the 3-ball. We introduce a notion of nucleus (a triangulati…

math-ph2008★ 25 cited

A Model of Heat Conduction

Pierre Collet, Jean-Pierre Eckmann

We define a deterministic ``scattering'' model for heat conduction which is continuous in space, and which has a Boltzmann type flavor, obtained by a closure based on memory loss b…