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Prossimi Seminari

  • The theory of quantum statistical comparison with some applications to quantum information science
    Francesco Buscemi, Nagoya University
    martedì 12 settembre 2017 alle ore 15:00, Aula Seminari III piano
  • TBA
    Santiago Badia, Universitat Politècnica de Catalunya, Barcelona
    giovedì 14 settembre 2017 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • TBA
    Benoit Perthame, Laboratoire J.-L. Lions, Université Pierre et Marie Curie, Paris
    giovedì 28 settembre 2017 alle ore 14:00, Sala Seminari Saleri VI Piano, Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Stabilized methods and inf-sup conditions
    Tomas Chacon Rebollo, Instituto de Matematicas, Universidad de Sevilla
    mercoledì 4 ottobre 2017 alle ore 14:00, Aula Seminari “F. Saleri”, MOX
  • Use of Routine Databases in the Design and Analysis of Surgical Trials
    Linda Sharples, London School of Hygiene and Tropical Medicine
    giovedì 5 ottobre 2017 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Tettonica delle placche polarizzata e terremoti
    Carlo Doglioni, Dipartimento di Scienze della Terra, Università La Sapienza, Roma
    martedì 17 ottobre 2017 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • SPECTRAL THEORY, SUM RULES AND LARGE DEVIATIONS
    Barry Simon, California Institute of Technology
    lunedì 30 ottobre 2017 alle ore 16:30, Aula Chisini, via Saldini 50
  • RANDOMNESS IN PARTIAL DIFFERENTIAL EQUATIONS
    Felix Otto, Max Plank Institute, Leipzig
    lunedì 20 novembre 2017 alle ore 16:30, Aula Chisini, via Saldini 50
  • Multi-scale and multi-physics modeling of complex flow and transport processes for energy storage in the subsurface
    Rainer Helmig, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
    giovedì 23 novembre 2017 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Numerical simulations of non-ideal compressible-fluid flows
    Alberto Guardone, Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano
    giovedì 30 novembre 2017 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • TBA
    Martin Gander, Section de Mathématiques, Université de Geneve
    giovedì 14 dicembre 2017 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Combining in vitro and in silico approaches towards patient-specific cardiovascular investigations
    Gabriele Dubini, Department of Chemistry, Materials and Chemical Engineering G. Natta, Politecnico di Milano
    giovedì 18 gennaio 2018 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • TBA
    D. Nordsletten, Biomedical Engineering Department, King’s College London
    giovedì 15 febbraio 2018 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • TBA
    Rolf Krause, Center for Computational Medicine in Cardiology, Università della Svizzera italiana,
    giovedì 22 febbraio 2018 alle ore 14:00, Sala Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO


Archivio Seminari


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  • Multivariate Splines and Their Applications
    Ming-Jun Lai, Dept. of Math. University of Georgia, Athens, GA, USA
    giovedì 20 luglio 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14
    ABSTRACT
    Multivariate splines are piecewise polynomial or rational functions over a collection of polygons. We shall explain some approximation properties of these splines and construction of locally supported basis functions. Then I will explain how to use them for numerical solution of linear and nonlinear partial differential equations and data fitting for statistical analysis. Our approach is based on barycentric coordinates (BB form) and generalized barycentric coordinates (GBC). The smoothness conditions, boundary conditions or interpolatory conditions will be set up as linear constraints when we minimize energy functional associated with the PDE to be solved or data to be fitted. Our approach enables us to use higher order polynomials and the smoothness higher than continuity easily. Several numerical examples of PDE and data fitting will be shown.
  • Doubly nonlocal Cahn-Hilliard equations
    Ciprian G. Gal, Florida International University, Miami, USA
    venerdì 14 luglio 2017 alle ore 11:00, Aula seminari 3° piano
    ABSTRACT
    We consider a doubly nonlocal nonlinear parabolic equation
    which describes phase-segregation of a two-component material in a
    bounded domain. This model is a more general version than the recent
    nonlocal Cahn–Hilliard equation proposed by Giacomin and Lebowitz,
    such that it reduces to the latter under certain conditions. It turns
    out that there are four possible cases of double interaction in which
    the nonlocality is reflected, we shall discuss some of them.
  • A Three-Field Formulation for Poroelasticity
    Ricardo Ruiz Baier, Mathematical Institute, University of Oxford
    mercoledì 12 luglio 2017 alle ore 11:30, MOX, Aula Saleri, Dipartimento di Matematica, VI piano
    ABSTRACT
    In this talk we present a stable and convergent conforming finite element method for the discretisation of the linear poroelasticity equations in a new formulation, where the volumetric contributions to the total stress are merged into an additional unknown. The resulting saddle point formulation can be analysed by means of a Fredholm alternative, after realizing that the problem is a compact perturbation of a Stokes-like invertible system. A generic Galerkin scheme is constructed, whose solvability properties follow closely those from the continuous variational form, and more importantly, given that specific finite dimensional spaces are chosen adequately, it is stable even in the incompressible limit.
    Contatto: luca.formaggia@polimi.it
  • Quantum Markov Chains and Associated Open Quantum Random Walks
    Ameur Dhahri, Chungbuk National University
    martedì 11 luglio 2017 alle ore 14:00 precise, Aula Seminari III piano
    ABSTRACT
    We establish the connection between Open Quantum Random Walks and the Quantum Markov Chains. In particular, we construct tow kinds of Quantum Markov Chains associated with Open Quantum Random Walks. Finally, we study the recurrence, transience and the property of accessibility associated to these Quantum Markov Chains.
  • Glauber Dynamics on the Cycles: Spectral Distribution of the Generator
    Hyun Jae Yoo, Hankyong National University
    martedì 11 luglio 2017 alle ore 15:00 precise, Aula Seminari III piano
    ABSTRACT
    We consider Glauber dynamics on finite cycles. By introducing a vacuum state we consider an algebraic probability space for the generator of the dynamics. We obtain a quantum decomposition of the generator and construct an interacting Fock space. As a result we obtain a distribution of the generator in the vacuum state.

    We also discuss the monotonicity of the moments of spectral measure as the couplings increase.

    In particular, when the couplings are assumed to be uniform, as the cycle grows to an infinite chain, we show that the distribution (under suitable dilation and translation) converges to a Kesten distribution.
  • Debt overhang and sovereign debt restructuring
    Mattia Picarelli, Università di Roma 1
    martedì 4 luglio 2017 alle ore 14:00 precise, Aula Seminari Terzo Piano
    ABSTRACT
    Debt overhang is defined as a situation where a large amount of debt distorts the optimal investment decisions and discourages the government’s efforts of the debtor country to undertake the necessary “adjustment policies”. In this paper, I study some different strategies that can be used to solve a sovereign debt overhang problem. In particular, I consider two strategies based on a debt restructuring process, via haircut or rescheduling, and a third one based on conditional-additional lending. This strategy relies on the idea that the debtor country can get new lending from the existing creditors, in order to undertake investments that can affect the productivity shock distribution in a positive way (or reduce the probability of default). The aim is to study the consequences, deriving from the three strategies described, on the incentives to invest in a “troubled country”. According to these consequences and under some specific conditions, I am able to build a ranking for these three strategies in order to see which is the most effective one. In particular, I find that if the change in investments due to the conditional-additional lending makes the probability of default low in this scenario, the conditional lending strategy will be the most effective one.
  • Dynamical low rank approximation of random time dependent PDEs
    Fabio Nobile, Mathematics Institute, CSQI, Ecole Polytechnique Fédérale de Lausanne, Switzerland
    giovedì 29 giugno 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14
    ABSTRACT
    Partial differential equations with random coefficients and input data (random PDEs in short) arise in many applications in which the data of the PDE need to be described in terms of random variables/fields due either to a lack of knowledge of the system or to its inherent variability. The numerical approximation of statistics of the solution poses several challenges when the number of random parameters is large and/or the parameter-to-solution map is complex, and effective surrogate or reduced models are of great need in this context.
    In this talk we consider time dependent PDEs with few random parameters and seek for an approximate solution in separable form that can be written at each time instant as a linear combination of linearly independent spatial functions multiplied by linearly independent random variables (low rank approximation) in the spirit of a truncated Karhunen-Loève expansion. Since the optimal deterministic and stochastic modes can significantly change over time, we consider here a dynamical approach where those modes are computed on the fly as solutions of suitable evolution equations. From a geometrical point of view, this corresponds to constraining the original dynamics to the manifold of fixed rank functions, i.e. functions that can be written in separable form with a fixed number of terms. Equivalently, the original equations are projected onto the tangent space to the manifold of fixed rank functions along the approximate trajectory, similarly to the Dirac-Frenkel variational principle in quantum mechanics.
    We discuss the construction of the method as well as practical numerical aspects for several time dependent PDEs with random parameters, including the heat equation with a random diffusion coefficient; the incompressible Navier-Stokes equations with random Dirichlet boundary conditions; the wave equation with random wave speed. In the latter case, we propose a dynamical low rank approximation that preserves the symplectic structure of the equations.
  • Imaging the brain microstructure with diffusion-weighted MRI
    Maxime Taquet, University of Louvain and Harvard Medical School
    lunedì 26 giugno 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14
    ABSTRACT
    The brain microstructure is the complex organization of axons, neurons and other cells that support the neural functions. Its mapping at the whole-brain level holds promise to the identification and characterization of neurological and psychiatric disorders as well as the assessment of response to treatment. Diffusion-weighted imaging has been at the forefront of developments of brain microstructure imaging. It is based on the recording of movements of pools of water molecules as they hit the cellular barriers in the brain. In this talk, I will provide a gentle introduction to DWI and microstructure imaging, present some recent developments and outline exciting challenges that the field is currently facing.