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  • [hal-01925373] Dynamics of fibered endomorphisms of $\mathbb P^k$

    16 novembre 2018, par (Christophe Dupont), Christophe Dupont
    We study the structure and the Lyapunov exponents of the equilibrium measure of endomorphisms of $\mathbb P^k$ preserving a fibration. We extend the decomposition of the equilibrium measure obtained by Jonsson for polynomial skew products of $\mathbb C^2$. We also show that the sum of the (...)
  • [hal-01909130] Normal real affine varieties with circle actions

    30 octobre 2018, par (Adrien Dubouloz), Adrien Dubouloz
    We provide a complete description of normal affine algebraic varieties over the real numbers endowed with an effective action of the real circle, that is, the real form of the complex multiplicative group whose real locus consists of the unitary circle in the real plane. Our approach builds on (...)
  • [hal-01902444] Homogeneous actions on the Random Graph

    23 octobre 2018, par (Pierre Fima), Pierre Fima
    We show that any free product of two (non-trivial) countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of HNN extensions or free products, amalgamated over a finite group, admit such an action and we extend (...)
  • [hal-01882416] Entropy, Lyapunov exponents, and rigidity of group actions

    27 septembre 2018, par (Aaron Brown), Aaron Brown
    This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled Workshop for young researchers: Groups acting on manifolds held in Teresópolis, Brazil in June 2016. The course introduced a number of classical tools in smooth ergodic theory-particularly (...)
  • [hal-01881416] Mathématiques en France, Mathématiques en Allemagne à la fin du XIXe siècle : témoignage du mathématicien belge Alphonse Demoulin.

    26 septembre 2018, par (Hervé Le Ferrand), Hervé Le Ferrand
    Mathématiques en France, Mathématiques en Allemagne à la fin du XIXe siècle : témoignage du mathématicien belge Alphonse Demoulin. travail en cours, Septembre 2018

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