Direttore:
Prof. Giulio Magli
Direttore Vicario:
Prof. Gabriele Grillo
Responsabile Gestionale:
Dr.ssa Franca Di Censo
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Prossimi Eventi
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apr 23 lun 2018
Seminar
Tobias Weth, Serrin’s overdetermined problem on the sphere, 23-04-2018, ore 16:00
- Seminar
- Tobias Weth
- Goethe-Universitat Frankfurt
- Serrin’s overdetermined problem on the sphere
- Lunedì 23 aprile 2018 alle ore 16:00
- Aula 6° piano
- AbstractIn this talk, I will discuss Serrin’s overdetermined boundary value problem
\begin{equation*}
-\Delta\, u=1 \quad \text{ in $\Omega$},\qquad u=0, \; \partial_\eta u=\textrm{const} \quad \text{on $\partial \Omega$}
\end{equation*}
in subdomains $\Omega$ of the round unit sphere $S^N \subset {\mathbb R}^{N+1}$, where $\Delta$ denotes the Laplace-Beltrami operator on $S^N$. We call a subdomain $\Omega$ of $S^N$ a Serrin
domain if it admits a solution of this overdetermined problem. In our main result, we construct Serrin domains in $S^N$, $N \ge 2$ which bifurcate from symmetric straight tubular neighborhoods of the
equator. By this we complement recent rigidity results for Serrin domains on the sphere. This is joint work with M.M.Fall and I.A.Minlend (AIMS Senegal). Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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apr 24 mar 2018
Seminar
Zindine Djadli, A review on some fourth order problems on manifolds, 24-04-2018, ore 15:15
- Seminar
- Zindine Djadli
- Université Grenoble Alpes
- A review on some fourth order problems on manifolds
- Martedì 24 aprile 2018 alle ore 15:15
- Sala del Consiglio 7° piano
- AbstractI will review some recent works on some non linear problem on manifolds, mostly in conformal geometry.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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apr 26 gio 2018
MOX Seminar Series
Patrick Farrell, Computing disconnected bifurcation diagrams of partial differential equations, 26-04-2018, ore 14:00
- MOX Seminar Series
- Patrick Farrell
- Mathematical Institute, Oxford
- Computing disconnected bifurcation diagrams of partial differential equations
- Giovedì 26 aprile 2018 alle ore 14:00
- Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
- AbstractComputing the distinct solutions $u$ of an equation $f(u, \lambda) = 0$ as a parameter $\lambda \in \mathbb{R}$ is varied is a central task in applied mathematics and engineering. The solutions are captured in a bifurcation diagram, plotting (some functional of) $u$ as a function of $\lambda$. In this talk I will present a new algorithm, deflated continuation, for this task. Deflated continuation has three advantages. First, it is capable of computing disconnected bifurcation diagrams; previous algorithms only aimed to compute that part of the bifurcation diagram continuously connected to the initial data.
Second, its implementation is extremely simple: it only requires a minor modification to any existing Newton-based solver. Third, it can scale to very large discretisations if a good preconditioner is available. Among other problems, we will apply this to a famous singularly perturbed ODE, Carrier’s problem. The computations reveal a striking and beautiful bifurcation diagram, with an infinite sequence of alternating pitchfork and fold bifurcations as the singular perturbation parameter tends to zero. The analysis yields a novel and complete taxonomy of the solutions to the problem. We will also apply it to discover previously unknown solutions to equations arising in liquid crystals and quantum mechanics.
This seminar is organized within the Research project MFAG 17412 «Mathematical insights of glioblastoma growth: a mechano-biology approach for patientspecific clinical tools» funded by the Italian Association for Cancer Research (AIRC), Project coordinator Prof. Pasquale Ciarletta
Contact: pasquale.ciarletta@polimi.it 
I am an Associate Professor of Numerical Analysis and Scientific Computing and EPSRC Early Career Research Fellow in the Numerical Analysis group of the University of Oxford, and a Tutorial Fellow at Oriel College, Oxford. I work on the numerical solution of partial differential equations, with a particular focus on bifurcation analysis of nonlinear equations, the automated derivation and application of adjoint models, and the interaction between computational geometry and numerical simulation. I apply the numerical techniques I develop to various applications, including tidal turbines for renewable energy, bidomain cardiac electrophysiology, radiation transport, and glaciology. I mainly code in Python, contribute regularly to the FEniCS and PETSc software projects, and lead the development of dolfin-adjoint.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 03 gio 2018
Seminar
Adriano Pisante, Large deviations for the stochastic allen-cahn approximation of the mean curvature flow, 03-05-2018, ore 15:15
- Seminar
- Adriano Pisante
- Università degli Studi di ROMA “La Sapienza”
- Large deviations for the stochastic allen-cahn approximation of the mean curvature flow
- Giovedì 3 maggio 2018 alle ore 15:15
- Aula seminari 3° piano
- AbstractWe consider the sharp interface limit for the Allen-Cahn equation on the three dimensional torus with deterministic initial condition and deterministic or stochastic forcing terms. In the deterministic case, we discuss the convergence of solutions to the mean curvature flow, possibly with a forcing term, in the spirit of the pioneering work of Tom Ilmanen (JDG ’93). In addition we analyze the convergence of the corresponding action functionals to a limiting functional described in terms of varifolds. In the second part I will comment on related results for the stochastic case, describing how this limiting functional enters in the large deviation asymptotics for the laws of the corresponding processes in the joint sharp interface and small noise limit.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 08 mar 2018
Seminar
Alessandro Savo, Heat content asymptotics of bounded domains, 08-05-2018, ore 15:15
- Seminar
- Alessandro Savo
- Università La Sapienza Roma
- Heat content asymptotics of bounded domains
- Martedì 8 maggio 2018 alle ore 15:15
- Aula Seminari 3° piano
- AbstractFor a bounded domain in a Riemannian manifold, we consider the solution of the heat equation with unit initial data and Dirichlet boundary conditions. Integrating the solution with respect to the space variable one obtains the function of time known in the literature as the “heat content” of the given domain. In this talk we show how the geometry of the boundary affects heat diffusion by examining the small time behavior of the heat content. In particular, we study a three term asymptotic expansion for polyhedral Euclidean domains, and give a recursive algorithm for the calculation of the entire asymptotic series when the boundary is smooth.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 09 mer 2018
mag 10 gio 2018
Convegno
From blockchain&bitcoin to distributed ledger technologies, smart contracts and cryptocurrencies in finance
09/05/2018 – 10/05/2018
- CONVEGNO
- From blockchain&bitcoin to distributed ledger technologies, smart contracts and cryptocurrencies in finance
- organizzatori
Scientific committee: Emilio Barucci, Francesco Bruschi, Paolo Giudici, Daniele Marazzina Organizing committee: Emilio Barucci, Daniele Marazzina, Anna Rho - Distributed Ledger Technologies (DLT), Smart Contracts and Cryptocurrencies are attracting a lot of attention from the finance community. The incipit was the blockchain&bitcoin phenomenon but then the DLT technologies and Smart Contracts became a hot topic per se for the potentialities in the financial intermediation, payment system and trading/post-trading industry, cryptocurrencies became an investment class. The conference proposes a self-contained journey on these topics. First of all, it provides a tutorial for people who want to know more about DLT and smart contracts starting from zero. Then the three sessions cover different topics: technical issues related to the potentialities of these technologies and tools (governance, smart contracts models, oracles role, voting systems); a deep dive on the economics and finance of DLT and smart contracts (game theoretic issues, investment, modeling of cryptocurrencies, digital cash, ICO market); a look at the applications to financial markets going beyond proofs of concept (trading and post trading industry, law issues, disintermediation).
- Mercoledì 9 maggio 2018 – Giovedì 10 maggio 2018
Dipartimento di Matematica
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568 -
mag 09 mer 2018
Seminar
Viola Schiaffonati, Computer, simulazioni ed esperimenti: all’alba di un nuovo metodo sperimentale?, 09-05-2018, ore 12:15
- Seminar
- Viola Schiaffonati
- Politecnico di Milano
- Computer, simulazioni ed esperimenti: all’alba di un nuovo metodo sperimentale?
- Mercoledì 9 maggio 2018 alle ore 12:15
- Politecnico di Milano Campus Bonardi Edificio14 aula B21
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 10 gio 2018
MOX Seminar
Stella Paronuzzi Ticco, Development of a hpc library for the parallel implementation of p-adaptive discontinuous finite element methods applied to geophysical flows., 10-05-2018, ore 00:00
- MOX Seminar
- Stella Paronuzzi Ticco
- OGS Trieste and Laboratorio MOX Milano
- Development of a hpc library for the parallel implementation of p-adaptive discontinuous finite element methods applied to geophysical flows.
- Giovedì 10 maggio 2018 alle ore 00:00
- Aula Seminari ‘Saleri’ VI Piano MOX-Dipartimento di Matematica, Politecnico di Milano – Edificio 14
- AbstractDiscontinuous finite element methods have been gaining in popularity for large scale geophysical applications. They are also a natural environment to take advantage of adaptive approaches in which the degree of the approximating polynomials is chosen locally and dynamically, in order to minimize memory occupation and computational cost. However, this poses major challenges to the parallel efficiency of the resulting methods, since a greater effort to achieve optimal load balancing is required. At present, no general HPC infrastructure for efficient and natively adaptive implementation of DG methods on massively parallel is available.The purpose of this joint research with G. Tumolo of ICTP Trieste is to move towards the development of such a tool especially tailored for the simulation of fluid dynamics problems in climate dynamics, oceanography and volcanology.
contact: luca.bonaventura@polimi.it Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 14 lun 2018
Seminar
Arnaud Beauville, Recent progress on rationality problems, 14-05-2018, ore 15:30
- Seminar
- Arnaud Beauville
- Université de Nice
- Recent progress on rationality problems
- Lunedì 14 maggio 2018 alle ore 15:30
- Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano
- AbstractWe say that an algebraic variety is unirational if it can be parametrized by rational functions, rational if moreover the parametrization can be chosen to be one-to-one. A very classical problem, called nowadays the Luroth problem, asks whether a unirational variety is necessarily rational. This holds for curves (Luroth, 1875) and for surfaces (Castelnuovo, 1894); after various unsuccessful attempts, it was shown in 1971 that the answer is quite negative in dimension 3: there are many examples of unirational varieties which are not rational. Up to 3 years ago the known examples in dimension >3 were quite particular, but a new idea of Claire Voisin has significantly improved the situation. I will survey the colorful history of the problem, then explain Voisin’s idea, and how it leads to a number of new results.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 16 mer 2018
Seminar
Maria Laura Costantino, Modellazione paziente specifica in emodialisi, 16-05-2018, ore 12:15
- Seminar
- Maria Laura Costantino
- Politecnico di Milano
- Modellazione paziente specifica in emodialisi
- Mercoledì 16 maggio 2018 alle ore 12:15
- Politecnico di Milano Campus Bonardi Edificio14 aula B21
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 17 gio 2018
Seminar
Grigory Mikhalkin, Maximally writhed real algebraic knots and links, 17-05-2018, ore 17:00 precise
- Seminar
- Grigory Mikhalkin
- Université de Genève
- Maximally writhed real algebraic knots and links
- Giovedì 17 maggio 2018 alle ore 17:00 precise
- Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano
- Abstract
Date, emails e titoli conferenzieri SMF
Paola Pagano
mer 28/03, 10:31
Buongiorno Professore,
provvedo ad inoltrare gli inviti.
Cordialmente,
Paola Pagano
Paola Pagano
Politecnico di Milano
Dipartimento di Matematica
P.za Leonardo da Vinci 32
20133 Milano
Tel. 02/2399.4543
paola.pagano@polimi.it
Please, think about the environment before printing!
Irene Maria Sabadini
mar 27/03, 21:49
Grazie Paolo.
Buona serata
irene
?Inviato da BlueMail ?
pstellari@gmail.com
per conto di Paolo Stellari
mar 27/03, 21:40Paola Pagano;Irene Maria Sabadini;
Deleted Items
Buonasera,
Come richiesto da Irene, che ci legge in copia, le invio date e contatti di due conferenzieri per il SMF:
Beauville: seminario lunedì 14 maggio alle 15:30 in Sala di Rappresentanza
Email: arnaud.beauville@unice.fr
Mikhalkin: seminario giovedì 17 maggio o alle 17:00 in Sala di Rappresentanza
Email: grigory.mikhalkin@unige.ch
Mikhalkin ci ha anche inviato titolo ed abstract che allego qui sotto.
Resto a disposizione per ogni ulteriore chiarimento.
Grazie e a presto,
Paolo
—
“Maximally writhed real algebraic knots and links”
The Alexander-Briggs tabulation of knots in R^3 (started almost
a century ago, and considered as one of the most traditional ones
in classical Knot Theory) is based on the minimal number of crossings
for a knot diagram. From the point of view of Real Algebraic Geometry
it is more natural to consider knots in RP^3 rather than R^3, and use
a different number also serving as a measure of complexity of a knot:
the minimal degree of a real algebraic curve representing this knot.
As it was noticed by Oleg Viro about 20 years ago, the writhe of a knot
diagram becomes an invariant of a knot in the real algebraic set-up,
and corresponds to a Vassiliev invariant of degree 1. In the talk we’ll
survey these notions, and consider the knots with the maximal possible
writhe for its degree. Surprisingly, it turns out that there is a unique
maximally writhed knot in RP^3 for every degree d. Furthermore, this
real algebraic knot type has a number of characteristic properties, from
the minimal number of diagram crossing points (equal to d(d-3)/2) to
the minimal number of transverse intersections with a plane (equal to
d-2). Based on a series of joint works with Stepan Orevkov.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 23 mer 2018
Seminar
Luca Perri, La scoperta del secolo – perché le onde gravitazionali valgono un nobel, 23-05-2018, ore 12:15
- Seminar
- Luca Perri
- L’Officina del Planetario
- La scoperta del secolo – perché le onde gravitazionali valgono un nobel
- Mercoledì 23 maggio 2018 alle ore 12:15
- Politecnico di Milano Campus Bonardi Edificio14 aula B21
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
-
mag 24 gio 2018
MOX Seminar Series
Valeria Simoncini, Matrix equation techniques for a class of pde problems with data uncertainty, 24-05-2018, ore 11:30
- MOX Seminar Series
- Valeria Simoncini
- Dipartimento di Matematica, Alma Mater Studiorum – Universita’ di Bologna
- Matrix equation techniques for a class of pde problems with data uncertainty
- Giovedì 24 maggio 2018 alle ore 11:30
- Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
- AbstractLinear matrix equations arise in an amazingly growing number of applications. Classically, they have been extensively encountered in Control theory and eigenvalue problems. More recently they have been shown to provide a natural platform in the discretization of certain partial differential equations (PDEs), both in the deterministic setting, and in the presence of uncertainty in the data. We first review some numerical techniques for solving various classes of large scale linear matrix equations commonly occurring in applications. Then we focus on recent developments in the solution of (systems of) linear matrix equations associated with the numerical treatment of various stochastic PDE problems.
Contact: paolo.zunino@polimi.it
Valeria Simoncini is Full Professor at Università di Bologna. Her main scientific interests are Matrix Computations, Spectral Perturbation Theory with applications to PDEs, Control and Multivariate Statistics. She is member of the editorial board for several high level international journalsPolitecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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mag 30 mer 2018
Seminar
Corinna Rossi, La geometria delle piramidi egizie, 30-05-2018, ore 12:15
- Seminar
- Corinna Rossi
- Politecnico di Milano
- La geometria delle piramidi egizie
- Mercoledì 30 maggio 2018 alle ore 12:15
- Politecnico di Milano Campus Bonardi Edificio14 aula B21
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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giu 06 mer 2018
Seminar
Marco Bersanelli, Missione planck, l’immagine dell’universo neonato, 06-06-2018, ore 12:15
- Seminar
- Marco Bersanelli
- Università degli Studi di Milano
- Missione planck, l’immagine dell’universo neonato
- Mercoledì 6 giugno 2018 alle ore 12:15
- Politecnico di Milano Campus Bonardi Edificio14 aula B21
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
-
giu 07 gio 2018
MOX Seminar Series
Dominique Chapelle, Biomechanical modeling of the heart, and cardiovascular system – from sarcomeres to organ \ system, with experimental assessments and patient-specific clinical validations, 07-06-2018, ore 10:30
- MOX Seminar Series
- Dominique Chapelle
- M3DISIM, INRIA – Paris – France
- Biomechanical modeling of the heart, and cardiovascular system – from sarcomeres to organ \ system, with experimental assessments and patient-specific clinical validations
- Giovedì 7 giugno 2018 alle ore 10:30
- Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
- AbstractCardiac contraction originates at a subcellular – molecular, indeed – scale, within specific components of the cardiomyocytes (i.e. cardiac cells) called sarcomeres. This contractile behaviour then needs to be integrated at the organ level, namely, with a specific structure and shape. Furthermore, this organ crucially interacts with other physiological systems, the first of which being blood circulation via the cardiac function itself, and also the nervous system that controls the heart via various regulation mechanisms, and these interactions must be adequately represented in order to obtain accurate and predictive model simulations. This presentation will provide an overview of the recent advances on cardiac modeling achieved in the M3DISIM group, with a particular focus on the key multiscale, multi-physics and integrated system modeling aspects that need to be addressed, with many associated challenges pertaining to numerical methods and model validation, in particular.
Contact: alfio.quarteroni@polimi.it
Dominique Chapelle is a senior researcher at Inria – in the M3DISIM research team also affiliated with Ecole Polytechnique – and the head of science of the Inria Saclay-Ile-de-France research center. He graduated from Ecole Polytechnique, MIT, and Paris 6 University, with a dual background in applied mathematics and engineering. His areas of expertise are in mechanical modeling and numerical analysis, with a focus on cardiac modeling developed over the past 15 yearsPolitecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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giu 07 gio 2018
MOX Seminar Series
Philippe Moireau, Inverse problems for the cardiac system, 07-06-2018, ore 14:00
- MOX Seminar Series
- Philippe Moireau
- M3DISIM, INRIA – Paris – France
- Inverse problems for the cardiac system
- Giovedì 7 giugno 2018 alle ore 14:00
- Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
- AbstractWhen considering the modeling of the cardiovascular system and more specifically the heart, there is a need for the personalization of not only the geometry but various aspects of the physical model: uncertain initial conditions, constitutive parameters or boundary conditions. Indeed, identifying key parameters – using measurements of a type that is available in medical imaging – can provide patient specific simulations that can be used by clinicians in their diagnosis. In other engineering fields where large amounts of data are available – like weather forecasting or climatology – it is now common to tackle these uncertainties in the models by data assimilation procedures – variational (4D-var) or sequential (Kalman like). In this context, our objective is to propose and analyze data assimilation methods adapted to the specificity of the biomechanical systems considered and to the available data, in particular image sequences.
Contact: alfio.quarteroni@polimi.it
Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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giu 18 lun 2018
MOX Seminar Series
Steve Marron, Joint and individual variation explained, 18-06-2018, ore 14:00
- MOX Seminar Series
- Steve Marron
- Department of Statistics and O.R., University of North Carolina
- Joint and individual variation explained
- Lunedì 18 giugno 2018 alle ore 14:00
- Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
- AbstractA major challenge in the age of Big Data is the integration of disparate data types into a data analysis. That is tackled here in the context of data blocks measured on a common set of experimental subjects. This data structure motivates the simultaneous exploration of the joint and individual variation within each data block. This is done here in a way that scales well to large data sets (with blocks of wildly disparate size), using principal angle analysis, careful formulation of the underlying linear algebra, and differing outputs depending on the analytical goals. Ideas are illustrated using mortality, cancer and neuroimaging data sets.
Contact: piercesare.secchi@polimi.it 
Dr.James Stephen Marron is the Amos Hawley Distinguished Professor in UNC’s Department of Statistics and Operations Research as well as a professor in the Department of Biostatistics at the UNC Gillings School of Global Public Health. Dr. Marron is widely recognized as a world research leader in the statistical disciplines of high dimensional, functional and object oriented data analysis, as well as data visualization. He has made broad major contributions ranging from the invention of innovative new statistical methods, through software development and on to statistical and mathematical theory.
His research continues with a number of ongoing deep, interdisciplinary research collaborations with colleagues in Computer Science, Genetics, Medicine, Mathematics and Biology. A special strength is his strong record of mentoring graduate students, postdocs and junior faculty, in both statistics and also related disciplinary fields.
Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
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giu 28 gio 2018
MOX Seminar Series
Raymond Ogden, Tba, 28-06-2018, ore 14:00
- MOX Seminar Series
- Raymond Ogden
- School of Mathematics and Statistics, University of Glasgow
- Tba
- Giovedì 28 giugno 2018 alle ore 14:00
- Aula Consiglio VII piano
- AbstractTBA.
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
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