121 épisodes

A new frontier has emerged at the interface between probability, geometry, and analysis, with a central target to produce a coherent theory of the geometry of random structures. The principal question is the following: within a given structure, what is the interplay between randomness and geometry? More precisely, does the geometry appear to be random at every scale (i.e. fractal), or do fluctuations "average out" at sufficiently large scales? Can the global geometry be described by taking a suitable scaling limit that allows for concrete computations?

Spectacular progress has been made over the last ten years in this domain. The goal of the programme is to gather experts from probability, geometry, analysis and other connected areas, in order to study aspects of this question in some paradigmatic situations. Topics of particular relevance include the Gaussian Free Field, random planar maps and Liouville quantum gravity, in connection with conformally invariant scaling limits; spin glass models and branching random walks; percolation and random graphs; and random walks on graphs and groups in the case where the geometry is determined by some algebraic ambient structure.

Random Geometry Cambridge University

    • Éducation

A new frontier has emerged at the interface between probability, geometry, and analysis, with a central target to produce a coherent theory of the geometry of random structures. The principal question is the following: within a given structure, what is the interplay between randomness and geometry? More precisely, does the geometry appear to be random at every scale (i.e. fractal), or do fluctuations "average out" at sufficiently large scales? Can the global geometry be described by taking a suitable scaling limit that allows for concrete computations?

Spectacular progress has been made over the last ten years in this domain. The goal of the programme is to gather experts from probability, geometry, analysis and other connected areas, in order to study aspects of this question in some paradigmatic situations. Topics of particular relevance include the Gaussian Free Field, random planar maps and Liouville quantum gravity, in connection with conformally invariant scaling limits; spin glass models and branching random walks; percolation and random graphs; and random walks on graphs and groups in the case where the geometry is determined by some algebraic ambient structure.

    • video
    The master field in the plane

    The master field in the plane

    Lévy, T (Pierre and Marie Curie University)
    Tuesday 23 June 2015, 16:00 - 17:00

    • 1h 14 min
    • video
    Boundary Measures and Natural Time Parameterization for SLE

    Boundary Measures and Natural Time Parameterization for SLE

    Alberts, T (University of Utah)
    Thursday 18 June 2015, 16:30-17:30

    • 1h 2 min
    • video
    Twin peaks

    Twin peaks

    Burdzy, C (University of Washington)
    Friday 19 June 2015, 10:00-11:00

    • 59 min
    • video
    From Internal DLA to self-interacting walks

    From Internal DLA to self-interacting walks

    Beffara, V (ENS - Lyon)
    Friday 19 June 2015, 14:00-15:00

    • 54 min
    • video
    Radial SLE martingale-observables

    Radial SLE martingale-observables

    Kang, N-G (Seoul National University)
    Thursday 18 June 2015, 11:30-12:30

    • 1h 3 min
    • video
    SLE Quantum Multifractality

    SLE Quantum Multifractality

    Duplantier, B (CEA/Saclay)
    Thursday 18 June 2015, 10:00-11:00

    • 1h 5 min

Classement des podcasts dans Éducation

D’autres se sont aussi abonnés à

Plus par Cambridge University