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  • Videos (159)
    Time changes of stochastic processes: convergence and heat kernel estimates
    51:59
    published on June 8, 2017

    Time changes of stochastic processes: convergence and heat kernel estimates

    By Takashi Kumagai

    CIRM

    ... This FIN diffusions and FK processes are known to be the scaling limits of the Bouchaud trap models, and the two-dimensional Liouville Brownian motion is conjectured to be the scaling limit of simple random walks on random planar maps. In the first part of my talk, I will provide a general ...

    Appears in collection : Random walks with memory / Marches aléatoires à mémoire

    Missing fields : cross

    Score: 12.720021
    Let's talk about multiple crossings.
    48:39
    published on January 30, 2018

    Let's talk about multiple crossings.

    By János Pach

    IHP

    ... Two edges of a hypergraph cross each other if neither of them contains the other, they have a nonempty intersection, and their union is not the whole vertex set. It is conjectured that any hypergraph on n vertices that contains no k pairwise crossing edges has at most O(n) edges. We discuss the ...

    Appears in collection : Model Theory and Combinatorics

    Missing fields : diffusion

    Score: 12.469273
    The theory of nonlinear diffusion with fractional operators
    01:00:49
    published on April 26, 2016

    The theory of nonlinear diffusion with fractional operators

    By Juan Luis Vázquez

    CIRM

    In this talk I will report on some of the progress made by the author and collaborators on the topic of nonlinear diffusion equations involving long distance interactions in the form of fractional Laplacian operators. The nonlinearities are of the following types: porous medium, fast diffusion or p- ...

    Appears in collection : Recent trends in nonlinear evolution equations / Nouvelles perspectives sur les équations d'évolution non linéaires

    Missing fields : cross

    Score: 12.313456
    ​Levy diffusion of dispersing billiards with flat points
    published on November 15, 2018

    ​Levy diffusion of dispersing billiards with flat points

    By Hong-Kun Zhang

    CIRM

    ... We investigate the diffusion and statistical properties of Lorentz gas with cusps at flat points. This is a modification of dispersing billiards with cusps. The decay rates are proven to depend on the degree of the flat points, which varies from $n^{-a}$, for $ a\in (0,\infty)$. The stochastic ...

    Appears in collection : Probabilistic limit theorems for dynamical systems / Théorèmes limites probabilistes pour les systèmes dynamiques

    Missing fields : cross

    Score: 12.058518
    Making sense of cross-scale dynamics in social-ecological systems
    42:38
    published on December 19, 2019

    Making sense of cross-scale dynamics in social-ecological systems

    By Andrew Ringsmuth

    IHP

    Appears in collection : Coupled climate-ecology-economy modeling and model hierarchies

    Missing fields : diffusion

    Score: 11.721207
    Strongly coupled data assimilation with a toy model
    25:24
    published on December 19, 2019

    Strongly coupled data assimilation with a toy model

    By Avneet Singh

    IHP

    Appears in collection : Big data, data assimilation, and uncertainty quantification

    Missing fields : cross diffusion

    Score: 11.286743
    Account for Model Discrepancy via Multi-model Cross Pollination in Time
    22:48
    published on December 18, 2019

    Account for Model Discrepancy via Multi-model Cross Pollination in Time

    By Hailiang Du

    IHP

    Appears in collection : Big data, data assimilation, and uncertainty quantification

    Missing fields : diffusion

    Score: 11.24734
    Balanced chemical reaction networks and reaction-diffusion systems 2/3
    01:28:08
    published on July 11, 2017

    Balanced chemical reaction networks and reaction-diffusion systems 2/3

    By Laurent Desvillettes

    IHP

    ... When the chemical species are supposed to be traces in a solvent, they are diffusing (each with its diffusion rate), so that their concentrations are solution to a system of reaction-diffusion with polynomial reaction rates. The specificity of such systems is, at least for a large class of them ...

    Appears in collection : 2017 - T2 - Stochastic Dynamics out of Equilibrium

    Missing fields : cross

    Score: 11.107999
  • Collections (8)
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