Information de Fisher et régularité pour les équations de Boltzmann et Landau spatialement homogènes II
Séminaire Laurent Schwartz — EDP et applications
Events from Indico
Séminaire Laurent Schwartz — EDP et applications
The different types of genes mutations in cancer genomes, the selection of driver mutations and the possibility of epistasis networks in cancer will be discussed.
We construct for the first time hairy black holes within a well-established theoretical framework: the electroweak theory minimally coupled to Einstein’s General Relativity. These black holes support an axially symmetric electroweak condensate — the hair — made of massive W, Z, and Higgs fields. In the extremal limit, they are surrounded in addition by a symmetric phase where the Higgs field vanishes, and their size can be macroscopic. We analyze their properties and establish connections with known flat-space results in the electroweak theory.
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Probability and analysis informal seminar
The Elastic Manifold is a model of an elastic interface in a disordered medium, introduced in the 80’s in order to understand the competition between the effects of disorder and those of elasticity. This model gave us a very vast literature in statistical physics, from Daniel Fisher to Marc Mezard and Giorgio Parisi, and many more works inspired by the progress of the Parisi school on Spin Glasses, up to the more mathematical recent works by Yan Fyodorov and Pierre Le Doussal.
I will cover here recent progress, first on the topological complexity of the energy landscape for the Elastic Manifold, obtained with Paul Bourgade (Courant) and Benjamin McKenna (Georgia Tech), and then on the Parisi formula for the quenched free energy, and the nature of the glass transition at low temperature, more recently proved in a series of works, with Pax Kivimae (Courant).
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Séminaire Amplitudes et Gravitation sur l’Yvette (IHES/IPhT)
Accurate and efficient modeling of binary black holes (BBHs) is crucial for detecting gravitational waves (GWs) they emit. Closed-form solutions to these systems in their initial inspiral state are highly sought after and have been worked out by many groups in the past few decades. Most of these solutions are valid only in certain limits (small eccentricity, zero spins, equal mass binary, etc). In this talk, we will discuss our solution for the most general post-Newtonian (PN) BBH system (with arbitrary masses, eccentricity, and spins). Two newly discovered constants of motion, along with the action-angle variables of these BBHs will also be presented. Throughout, we will confine ourselves to 1.5PN and 2PN orders.
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In a dynamical system that incorporates an exponentially growing number of degrees of freedom, can information sent at early time be retrieved at late time? This “inflationary inference problem” arises in several contexts: statistical inference, error correction, measurement-altered quantum criticality, quantum Darwinism, and cosmology. In this talk, we will introduce the problem, and propose a general criterion for inference, extending the Kesten-Stigum threshold. Implications in some of the aforementioned contexts will be discussed. In particular, we will revisit the question of “classicalisation” during inflation.
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Any closed, flat Riemannian manifold is finitely covered by the torus, by Bieberbach’s classical theorem. Similar classifications have been pursued for closed, Riemannian conformally flat manifolds, as well as for closed, flat Lorentzian manifolds. I will present the classification of closed, Lorentzian conformally flat manifolds with unipotent holonomy. This is joint work with Rachel Lee.
Thurston defined a mapping class group-equivariant spine for Teichmüller space: the « Thurston spine ». This spine is a CW complex, consisting of the points in Teichmüller space at which the set of shortest geodesics — the systoles — cut the surface into polygons. The systole function is a map from Teichmüller space to R+ whose value at any point is given by the length of the systoles. It is known that the systole function is a topological Morse function on Teichmüller space, whose critical points are contained in the Thurston spine. This talk surveys what the systole function tells us about the Thurston spine.
We shall try to assign mathematical meaning to the language used by biologists for describing basic structures and processes in living organisms, from the (sub)cellular level up to evolutionary dynamics of populations.
In particular, we shall elucidate the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –> protein folding.
Also we indicate a potential use of formalisation of biological language in genetic engineering, e.g. in the analysis/applications of CRISPR and of phage assisted continuous evolution.
We shall try to assign mathematical meaning to the language used by biologists for describing basic structures and processes in living organisms, from the (sub)cellular level up to evolutionary dynamics of populations.
In particular, we shall elucidate the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –> protein folding.
Also we indicate a potential use of formalisation of biological language in genetic engineering, e.g. in the analysis/applications of CRISPR and of phage assisted continuous evolution.
We shall try to assign mathematical meaning to the language used by biologists for describing basic structures and processes in living organisms, from the (sub)cellular level up to evolutionary dynamics of populations.
In particular, we shall elucidate the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –> protein folding.
Also we indicate a potential use of formalisation of biological language in genetic engineering, e.g. in the analysis/applications of CRISPR and of phage assisted continuous evolution.
We shall try to assign mathematical meaning to the language used by biologists for describing basic structures and processes in living organisms, from the (sub)cellular level up to evolutionary dynamics of populations.
In particular, we shall elucidate the mathematical as well as biological meaning of the following concepts.
● biological (non-Shannon) information,● descriptional (non-Kolmogorov) complexity,● biological structure,● biological function (performed by a particular structure), ● biological purpose (of a function),● information/program encoded and stored by a material structure (DNA, RNA),● information/signal transmitted by a matter/energy process/flow, ● information/program, which controls such a « flow »,● biological structures build by (networks of) matter/energy flows, e.g transcription –> translation –> protein folding.
Also we indicate a potential use of formalisation of biological language in genetic engineering, e.g. in the analysis/applications of CRISPR and of phage assisted continuous evolution.