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19942026
most citedGerms of arcs on singular algebraic varieties and motivic integration

209 citations

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math.DS2025

On the rigidity of the stable norm and Mather's β-function for geodesic flows

Anna Florio, Martin Leguil, Alfonso Sorrentino

We investigate rigidity phenomena associated to the stable norm and Mather's -function for Riemannian geodesic flows on closed manifolds. Given two metrics and , we c…

math.DS2023

Birkhoff attractors of dissipative billiards

Olga Bernardi, Anna Florio, Martin Leguil

We study the dynamics of dissipative billiard maps within planar convex domains. Such maps have a global attractor. We are interested in the topological and dynamical complexity of…

math.DS2023

Equidistribution and counting of periodic tori in the space of Weyl chambers

Nguyen-Thi Dang, Jialun Li

Let G be a semisimple Lie group without compact factor and < G a torsion-free, cocompact, irreducible lattice. According to Selberg, periodic orbits of regular Weyl chamber flo…

math.DS2022

Emergence of quantum dynamics from chaos: The case of prequantum cat maps

Javier Echevarría Cuesta

Faure and Tsujii recently proposed a new quantization theory for symplectic Anosov diffeomorphisms. It combines prequantization with the study of the Pollicott--Ruelle resonances o…

math.DS2022★ 1 cited

Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus

Giovanni Forni, William Goldman, Sean Lawton +1

Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic elem…

math.DS2020★ 3 cited

Parametric Lyapunov exponents

Henry De Thélin, Thomas Gauthier, Gabriel Vigny

In an algebraic family of rational maps of , we show that, for almost every parameter for the trace of the bifurcation current of a marked critical value, the critica…