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  • Corso di Studi in Ingegneria Matematica, nuovo progetto di doppia laurea con EPFL
    Double degree Master Program between Politecnico di Milano and EPFL

Laboratory of Modeling and Scientific Computing
MOX
Laboratorio di Modellistica
e
Calcolo Scientifico
Laboratory of Mathematics Education and Scientific Experimentation
EFFEDIESSE
Laboratorio di Formazione
Matematica e di
Sperimentazione Didattica
differential equations at polimi
differential equations
at polimi
Quantitative Finance LAB
Laboratorio di
Finanza Quantitativa
Game Theory And Computation (Group)
Game Theory And Computation
(Group)


Prossimi Eventi

  • mag
    02
    lun
    2016
    Seminario
    02-05-2016, ore 11:30 The dirichlet space on the bi-disc
    Nicola Arcozzi

    • SEMINARIO
    • The dirichlet space on the bi-disc
    • Nicola Arcozzi, Università di Bologna
    • Lunedì 2 maggio 2016 alle ore 11:30, Aula seminari del terzo piano
    • Abstract
      The analytic Dirichlet space on the complex disc is rather well understood and its counterpart on the unit ball in several complex dimensions shares with it many important features. For instance, there is a natural underlying (sub-Riemannian) geometry, with the obvious one-parameter family of metric balls having center at a given point. Things become drastically different in the bidisc, where genuine two-parameter phenomena appear. I will review what is known about this holomorphic space, including recent results in collaboration with Pavel Mozolyako, Karl-Mikael Perfekt, Giulia Sarfatti.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    04
    mer
    2016
    Seminario
    04-05-2016, ore 16:00 Height fluctuations and universality relations in interacting dimer models
    Alessandro Giuliani

    • SEMINARIO
    • Height fluctuations and universality relations in interacting dimer models
    • Alessandro Giuliani, Università di Roma 3
    • Mercoledì 4 maggio 2016 alle ore 16:00, Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50
    • Abstract
      Two-dimensional dimer models are popular models, which are used to describe either the liquid phase of dense anisotropic molecules or, thanks to a well-known mapping between dimer configurations and discrete height functions, the rough phase of fluctuating random surfaces. The last few years witnessed important progresses in the understanding of the critical phase of dimer systems, including the proof of existence and conformal covariance of the scaling limit, and the proof of convergence of the discrete height field to the massless Gaussian Free Field (GFF), due to Kenyon, Okounkov and Sheffield. In this talk I will review some aspects of the theory of critical dimer models, which is based, in large part, on the celebrated Kasteleyn solution for `non-interacting’ dimers, combined with discrete holomorphicity methods. I will also discuss a novel approach to *interacting* dimer models, based on constructive Renormalization Group techniques, which recently allowed us to prove the convergence of the discrete height function to the GFF, in the presence of non-integrable perturbations of the dimers’ Gibbs measure, as well as the validity of a universality relation between the renormalized variance of the GFF and the critical exponent of the dimer-dimer correlations (in collaboration with V. Mastropietro and F. Toninelli)

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    05
    gio
    2016
    Seminario
    05-05-2016, ore 11:30 Control of stochastic mckean-vlasov equation and applications
    Huyên Pham

    • SEMINARIO
    • Control of stochastic mckean-vlasov equation and applications
    • Huyên Pham, Université Paris Diderot
    • Giovedì 5 maggio 2016 alle ore 11:30, Aula seminari III piano, Dipartimento di Matematica, Politecnico di Milano (via Bonardi 9, Milano, Edificio 14 “La Nave”)

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    09
    lun
    2016
    Seminario
    09-05-2016, ore 10:30 Spherical monogenics in dimension 3 and discrete orthogonal polynomials
    Hendrik De Bie

    • SEMINARIO
    • Spherical monogenics in dimension 3 and discrete orthogonal polynomials
    • Hendrik De Bie, Ghent University
    • Lunedì 9 maggio 2016 alle ore 10:30, Aula seminari del 3 piano
    • Abstract
      In this educational talk, my main goal is to show how a family of discrete orthogonal polynomials from the Askey scheme naturally arises in the study of spherical monogenics in dimension 3.
      This connection will be revealed by making explicit the action of the so(3) Lie algebra that preserves the monogenics on a basis constructed using a tower of CK extensions.
      It will then be shown that different towers of CK extensions lead to different orthogonal bases. The expansion coefficients between two such bases are subsequently expressed using the Krawtchouk discrete orthogonal polynomials.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    11
    mer
    2016
    Seminario
    11-05-2016, ore 12:15 Anelli e paraboloidi di carta: origami, arte e geometria
    Paola Magrone

    • SEMINARIO
    • Anelli e paraboloidi di carta: origami, arte e geometria
    • Paola Magrone, Università degli Studi Roma Tre
    • Mercoledì 11 maggio 2016 alle ore 12:15, Aula B21, ed. 14 (Nave), Campus Bonardi, via Bonardi 9, Milano

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    11
    mer
    2016
    Seminario
    11-05-2016, ore 14:30 Uni- and multivariate discrete orthogonal polynomials using dirac operators
    Hendrik De Bie

    • SEMINARIO
    • Uni- and multivariate discrete orthogonal polynomials using dirac operators
    • Hendrik De Bie, Ghent University
    • Mercoledì 11 maggio 2016 alle ore 14:30, Aula seminari del 3 piano
    • Abstract
      In the second talk, we will reverse the question of the previous talk. Given a family of discrete orthogonal polynomials, can we construct a Dirac model so that they arise as expansion coefficients?
      We will answer this question affirmatively for the Racah polynomials and their generalization the Bannai-Ito polynomials. In the univariate case we will use a generalized Dirac operator in 3D, while for the multivariate case we have to resort to nD. Along the way, we will construct a new symmetry algebra that can be interpreted as a higher rank Bannai-Ito algebra.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    18
    mer
    2016
    Seminario
    18-05-2016, ore 12:15 The stonehenge hidden landscapes project
    Immo Trinks

    • SEMINARIO
    • The stonehenge hidden landscapes project
    • Immo Trinks, Ludwig Boltzmann Institute
    • Mercoledì 18 maggio 2016 alle ore 12:15, Aula Rogers, via Ampère 2, Milano
    • Abstract
      seminario in collaborazione con il Centro Beni Culturali

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    18
    mer
    2016
    Seminario
    18-05-2016, ore 16:15 precise Non linear problems in exterior domains
    Benedetta Pellacci

    • SEMINARIO
    • Non linear problems in exterior domains
    • Benedetta Pellacci, Università di Napoli “Parthenope”
    • Mercoledì 18 maggio 2016 alle ore 16:15 precise, Aula seminari 3° piano
    • Abstract
      We will study the existence of a positive solution for non-linear problems in exterior domains. This topic is related to the search of non-symmetric solutions of saturable or non-linear Schrödinger equations when the domain is not symmetric. This a joint work with Liliane Maia (University of Brasilia).

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    25
    mer
    2016
    Seminario
    25-05-2016, ore 12:15 La più bella delle teorie. la relatività generale dagli inizi alla scoperta delle onde gravitazionali
    Amedeo Balbi

    • SEMINARIO
    • La più bella delle teorie. la relatività generale dagli inizi alla scoperta delle onde gravitazionali
    • Amedeo Balbi, Università di Roma 2
    • Mercoledì 25 maggio 2016 alle ore 12:15, Aula B21, ed. 14 (Nave), Campus Bonardi, via Bonardi 9, Milano

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mag
    27
    ven
    2016
    Seminario
    27-05-2016, ore 10:00 Fractured rock multiphase flow: insights from a new generation of numeric models
    Stephan K. Matthai

    • SEMINARIO
    • Fractured rock multiphase flow: insights from a new generation of numeric models
    • Stephan K. Matthai, University of Melbourne, Australia (Chair of Reservoir Engineering)
    • Venerdì 27 maggio 2016 alle ore 10:00, Aula Seminari Saleri VI Piano Mox-Dipartimento di Matematica, Politecnico di Milano
    • Abstract
      Understanding multiphase fluid flow in Naturally Fractured Reservoirs (NFRs) is important because much of the world’s remaining oil reserves reside in rocks the flow through which is fracture dominated [1,2]. Geologically realistic models of NFRs are rare, probably due the multidisciplinary nature of the subject matter1. In stead, “effective” or “dual continua” models are abundant [e.g, 3,4]. Their averaging of fracture permeability and block size makes it
      impossible to compare simulated saturation patterns with observations on the real system. Yet, such comparisons are important because, in contrast to experiments, observability of a well-matched realistic numerical model is complete and one can incrementally turn component physics off until the behaviour of interest vanishes. This allows elimination of ambiguities in cause and effect chains. The physics underpinning multiphase flow in NFRs are reasonably well understood [5-7].Governing partial differential equations were presented already in the nineteen sixties [8] and
      have been modified relatively little since then. Computation and analysis of fracture-matrix ensemble behaviour, however, remain challenging due to scale-dependent nonlinear constitutive relationships, the couplings among the variables, order of magnitude variations in key material properties, and the scale-variant heterogeneity of the fractured porous matrix system. These nonlinear couplings imply that the knowledge of the component physics is
      insufficient to predict characteristic NFR states and responses. While these could in theory be revealed in the laboratory, experimental setup and monitoring appear too challenging [9]. This presentation is underpinned by computational results obtained on discrete fracture and matrix models (DFMs), discretized with unstructured grids, and flow simulated with a hybrid finite-element (FEM) – finite volume method (FVM) [10]. Using operator splitting, the fluid
      pressure equation is solved with the FEM and the hyperbolic transport equation including gravitational terms with the FVM [11]. Both methods are used in concert to compute nonlinear capillary diffusion in parallel with gravitational segregation of water and oil in zones of mixed saturation. All equations are solved with a parallelized algebraic multigrid method [12,13]. A decisive feature of the simulation approach is the treatment of the finite volumes at
      fracture-matrix interfaces [14,15]. New methods support saturation discontinuities and counter-current imbibition can therefore be modeled accurately using a Newton’s-method based implementation of the semi-analytical method proposed by VanDuijn and DeNeef [16]. All these methods are implemented in the CSMP++ application programmer interface [17,18]
      which will be introduced in the course of this presentation.
      Several simulation examples will be used to compare the behaviour of the DFMs with conventional dual continua simulations [19-21]. The results show that – beyond benchmarking and the demonstration of numerical methods on simple flow geometries – the decisive step necessary to gain the insights needed for accurate NFR prediction is the application of stateof-the-art simulation methods to relevant realistic non-trivial models. Once the controls on
      their behaviour have been clarified this way, simplifications can be made by elimination of non-influential features and processes. Idealised models only serve the purpose of component algorithm testing. Where analytic calculations can be applied, sophisticated numerical simulations are not needed.

      References
      1Physicists and applied mathematicians rarely have enough earth-science background to understand the
      heterogeneity and scale-variance of geological media; earth scientists lack the computational skills to build computer models.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • giu
    01
    mer
    2016
    Seminario
    01-06-2016, ore 12:15 I repentini cambiamenti globali nella società umana
    Fiorenzo Galli

    • SEMINARIO
    • I repentini cambiamenti globali nella società umana
    • Fiorenzo Galli, Direttore del Museo della Scienza e della Tecnica di Milano
    • Mercoledì 1 giugno 2016 alle ore 12:15, Aula B21, ed. 14 (Nave), Campus Bonardi, via Bonardi 9, Milano
    • Abstract


    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • giu
    17
    ven
    2016
    Seminario
    17-06-2016, ore 15:00 A geometric approach to confidence regions and bands for functional parameters
    Matthew Reimher

    • SEMINARIO
    • A geometric approach to confidence regions and bands for functional parameters
    • Matthew Reimher, Department of Statistics at Penn State University.
    • Venerdì 17 giugno 2016 alle ore 15:00, Aula Seminari
    • Abstract
      Functional data analysis, FDA, is now a well established discipline of statistics, with its core concepts and perspectives in place. Despite this, there are still fundamental statistical questions which have received relatively little attention. One of these is the systematic development of techniques for constructing confidence regions for functional parameters. I will present new work that takes a geometric approach to developing, understanding, and visualizing such regions. Simulations and an application to Fractional Anisotropy will also be presented.

      contact: piercesare.secchi@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568