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Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


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Prossimi Eventi

  • giu 14 lun 2021

    Seminar
    Vincent Martinez, On unique ergodicity, regularity, and mixing for the weakly-damped stochastic KdV equation.,  14-06-2021, ore 17:30 precise
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    • Seminar
    • Vincent Martinez
    • CUNY Hunter College
    • On unique ergodicity, regularity, and mixing for the weakly-damped stochastic KdV equation.
    • Lunedì 14 giugno 2021 alle ore 17:30 precise
    • us02web.zoom.us/j/85740643260?pwd=SzFjTXo0bWE3YjI3VWo0b3krT09kdz09
    • Abstract
      We discuss the existence, uniqueness, and regularity of invariant measures for the damped-driven stochastic Korteweg-de Vries equation, where the noise is additive and sufficiently non-degenerate. It is shown that a simple, but versatile control strategy, typically employed to establish exponential mixing for strongly dissipative systems such as the 2D Navier-Stokes equations, can nevertheless be applied in this weakly dissipative setting to establish elementary proofs of both unique ergodicity, albeit without mixing rates, as well as regularity of the support of the invariant measure. Under the assumption of large damping, however, a one-force, one-solution principle is established, from which we are able to deduce the existence of a spectral gap with respect to a Wasserstein distance-like function.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • giu 16 mer 2021

    Seminar
    Daniel Alpay, Discrete analytic functions and Schur analysis,  16-06-2021, ore 17:00
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    • Seminar
    • Daniel Alpay
    • Chapman University
    • Discrete analytic functions and Schur analysis
    • Mercoledì 16 giugno 2021 alle ore 17:00
    • On line
    • Abstract
      We first review both the theory of discrete analytic functions and the main features of Schur analysis (a collection of problems pertaining to functions analytic and contractive in the open unit disk, and with a wide range of applications). Then, we present new connections between the theory of discrete analytic functions and Schur analysis. This allows us to define a new class of problems pertaining to discrete analytic functions.

      References:

      D. Alpay, P. Jorgensen, R. Seager, and D. Volok. On discrete analytic functions: Products, Rational Functions, and Reproducing Kernels. Journal of Applied Mathematics and Computing. Volume 41, Issue 1 (2013), Page 393-426.

      D. Alpay and D. Volok, Discrete analytic functions and Schur analysis. Preprint, 2021.

    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • giu 21 lun 2021

    Seminar
    Jacopo De Simoi, Dynamical rigidity of convex billiards,  21-06-2021, ore 17:00
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    • Seminar
    • Jacopo De Simoi
    • University of Toronto
    • Dynamical rigidity of convex billiards
    • Lunedì 21 giugno 2021 alle ore 17:00
    • zoom.us/j/91544493126?pwd=cHVlNEFkZ1lHWjNONG9kWHdoaGwxQT09
    • Abstract
      Convex billiards are a classical topic in conservative dynamics. Typically, their dynamics is qualitatively very intricate, since it showcases a coexistence of hyperbolic dynamics and KAM phenomena. Understanding long-term statistical properties of the dynamics with the current technology is essentially an intractable problem.

      Here I venture in the opposite direction and I will discuss dynamical inverse problems: how much geometrical information can be extracted from the dynamics?

      More precisely: what can be deduced about the billiard table if one knows the lengths of all periodic orbits? The quantum version of this question has been famously stated as "Can one hear the shape of a drum?"

      In this talk I will review the latest results and describe the next steps in this direction. This is a joint project with Vadim Kaloshin.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • lug 01 gio 2021

    lug 03 sab 2021

    Convegno
    Modelling the cardiac function
    01/07/2021 - 03/07/2021
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    • CONVEGNO
    • MCF2021
      Modelling the cardiac function
    • organizzatori
      Alfio Quarteroni (chair) - Luca Dede' - Andrea Manzoni - Christian Vergara - Paolo Zunino
    • This Congress aims at focusing on the state of the art in the mathematical modelling and numerical simulation of the cardiac function and its clinical applications. This event will host plenary lectures from distinguished scientists as well as contributed talks. The event will take place online. This is the fifth Conference of the series MPF - Modelling the Physiological Flows and is organized by MOX - Politecnico di Milano, with the support of the EU ERC-ADG - Advanced Grant iHEART Project ID: 740132 - iheart.polimi.it
    • Giovedì 1 luglio 2021 - Sabato 3 luglio 2021
      Online event: register at iheart.polimi.it/mcf2021
    Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

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