ITA

  • 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
Laboratory of
Modeling and
Scientific Computing
Laboratory of Mathematics Education and Scientific Experimentation
EFFEDIESSE
Laboratory of
Mathematics Education and
Scientific Experimentation
differential equations at polimi
differential equations
at polimi
Quantitative Finance LAB
Quantitative Finance
LAB
Game Theory And Computation (Group)
Game Theory And Computation
(Group)


Upcoming Events

  • sep
    27
    tue
    2016
    Seminar
    09-27-2016, 11:00 precise Graph decompositions via integer compositions
    Emanuele Brugnoli

    • SEMINAR ON
    • Graph decompositions via integer compositions
    • Emanuele Brugnoli, Università di Palermo
    • Tuesday, september 27 2016 at 11:00 precise, Aula seminari III piano
    • Abstract
      A composition of a positive integer n is defined as a way of writing n as an ordered sum of positive integers (parts). The study of compositions has a long and rich history. The earliest publication on this subject is by Percy Alexander MacMahon in 1893, entitled Memoir on the Theory of Compositions of a Number and started with the words “Compositions are merely partitions in which the order of occurrence of the parts is essential.” MacMahon derived a number of results, for example the total number of compositions and the number of compositions with a given number of parts, using generating functions.

      Since the second half of 20th century, several groups of authors developed new research directions studying compositions restricted in some way, as also certain characteristics of these compositions.

      In this talk, the strict connection between integer compositions and graph decompositions into Hamiltonian cycles is shown. Denoting, as usual, with K_v the complete graph on v vertices, a Hamiltonian cycle system of odd order v (briefly HCS(v)) is a set of Hamiltonian cycles of K_v whose edges partition the edge-set of K_v. The earliest example of a HCS(2n+1) is attributed to Walecki; its vertex-set is V_{2n+1} := Z_{2n} U { ? } and it consists of all cycles belonging to the orbit of the starter cycle

      ( ?, 0, 1, -1, 2, -2, …, i, -i, …, n-1, -(n-1), n )

      under the natural action of Z_{2n} on V_{2n+1}.

      By means of a slight modification of the HCS(4n+1) of Walecki, we obtain 2^n pairwise distinct HCS(4n+1) and we enumerate them up to isomorphism proving that this result can be achieved by counting the inequivalent compositions of n under the action of D_n, the dihedral group of order 2n.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • sep
    28
    wed
    2016
    Seminar
    09-28-2016, 14:30 Cambio orario: computational study of the risk of restenosis in coronary bypasses
    Bruno Guerciotti

    • SEMINAR ON
    • Cambio orario: computational study of the risk of restenosis in coronary bypasses
    • Bruno Guerciotti, MOX – Dipartimento di Matematica, Politecnico di Milano
    • Wednesday, september 28 2016 at 14:30, Aula Seminari Saleri, VI Piano, Mox Dipartimento di Matematica, Ed. 14-Politecnico di Milano
    • Abstract
      CAMBIO ORARIO – 14:30
      Coronary artery disease, which is one of the leading causes of death in the world, is caused by the build-up of atherosclerotic plaques in the vessel walls. The result is a reduction of oxygen supply to the heart, which increases the risk of myocardial infarction, stroke and unstable angina. For high-risk patients, coronary artery bypass graft (CABG) is the preferred treatment. In particular, the gold standard procedure for the surgical treatment
      of the left anterior descending (LAD) coronary artery disease is the left internal mammary artery (LIMA) bypass. However, despite its excellent patency rates, LIMA bypass may fail due to restenosis. Specifically, the long-term patency of LIMA is thought to be related to the degree of stenosis in the native vessel.
      In this context, we present a computational study of the fluid-dynamics in patient-specific geometries with the aim of investigating a possible relationship between coronary stenosis and LIMA graft failure. Firstly, we propose a strategy to prescribe realistic boundary conditions in absence of measured data, based on an extension of the well–known Murray’s law to provide the flow division at bifurcations in case of stenotic vessels and non-Newtonian blood rheology. With the aim of investigating the actual influence of non-Newtonian blood rheology on the hemodynamics of 3D patient-specific stenotic vessels, we also show some results regarding the comparison between Newtonian and non-Newtonian rheology. Then,
      we show the results regarding numerical simulations in patients treated with grafts in which the degree of coronary stenosis is virtually varied, in order to compare the fluid-dynamics in terms of hemodynamic indices potentially involved in restenosis development. Finally, we present some preliminary results concerning fluid-structure interaction simulations in CABGs with the aim of better understanding the influence of the bypass mechanical properties on the risk of graft failure.

      contatto: christian.vergara@polimi.it



    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    03
    mon
    2016
    Seminar
    10-03-2016, 16:03 On the fundamental theorem of freiman
    Endre Szemerédi

    • SEMINAR ON
    • On the fundamental theorem of freiman
    • Endre Szemerédi, Rutgers University
    • Monday, october 3 2016 at 16:03, Aula Chisini, via Saldini 50

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    04
    tue
    2016
    Seminar
    10-04-2016, 11:15 Some problems in geometry and additive combinatorics
    Endre Szemeredi

    • SEMINAR ON
    • Some problems in geometry and additive combinatorics
    • Endre Szemeredi , Rutgers University, USA
    • Tuesday, october 4 2016 at 11:15, AULA CONSIGLIO VII Piano del Dipartimento di Matematica, Politecnico di Milano
    • Abstract
      We are going to talk about the so called Heilbronn’s problems, some geometrical Ramsey problems and Sidon-type and sum-product problems from arithmetic combinatorics.

      contact: pasquale.ciarletta@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    12
    wed
    2016
    Seminar
    10-12-2016, 16:15 precise Absence of critical points of solutions to the helmholtz equation in 3d
    Giovanni Alberti

    • SEMINAR ON
    • Absence of critical points of solutions to the helmholtz equation in 3d
    • Giovanni Alberti, Università di Pisa
    • Wednesday, october 12 2016 at 16:15 precise, Aula seminari 3° piano
    • Abstract
      In this talk I will discuss a method to prove the absence of critical points for the Helmholtz equation in 3D. The key element of the approach is the use of multiple frequencies in a fixed range, and the proof is based on the spectral analysis of the associated problem. This question is strictly connected with the Rado-Kneser-Choquet theorem, whose direct extension to the Helmholtz equation or to three dimensions is not possible.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • nov
    07
    mon
    2016
    Seminar
    11-07-2016, 16:30 Convergence to equilibrium via quantitative stability
    Alessio Figalli

    • SEMINAR ON
    • Convergence to equilibrium via quantitative stability
    • Alessio Figalli, ETH Zurich
    • Monday, november 7 2016 at 16:30, Aula Chisini, via Saldini 50

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