Anytime, anywhere, across your devices. Discretization for Linear Systems With Polyhedral Lyapunov Functions, Preservation of piecewise-linear Lyapunov function under Padé discretization, Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes, Image Reconstruction Via Hypoelliptic Diffusion on the Bundle of Directions of the Plane. Besides computing explicitly geodesics and conjugate loci, we compute the cut loci (globally) and we give the expression of the Carnot-Caratheodory distance as the inverse of an elementary function. International audienceIn this work, we study the minimal time to steer a given crowd to a desired configuration. Francesco Rossi 2008-2009. Rachel Ward UT Austin Verified email at math.utexas.edu. I am the happy recipient of a STARS@UNIPD Consolidator grant.See more details about the CONNECT project here. arXiv:1106.2555v2 [math.AP] 30 Jan 2012 Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes Benedetto Piccoli∗, Francesco Rossi † January 31, 2012 Abstract Motivated by pedestrian modelling, we study evolution of measures in the Wasserstein space. Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam … Projective Reeds-Shepp car on S2 Problem statement on a manifold Problem statement J[] = Z T 0 g ((t)(_ (t); _(t)) + 2K2 t)g (_ (t); _(t)) dt ! On the other side, it allows an easy description of multi-scale crowd... For control-affine systems with a proper Lyapunov function, the classical Jurdjevic–Quinn procedure (see Jurdjevic and Quinn, 1978) gives a well-known and widely used method for the design of feedback controls that asymptotically stabilize the system to some invariant set. Francesco Rossi (Padova) Paolo Rossi (Padova) Stefano Ruffo (Sissa) Lucio Russo Luigi Salce (Padova) Nicola Sansonetto (Verona) Flavio Seno (Padova) Attilio Stella (Padova) Flavio Toigo (Padova) Davide Vittone (Padova) Angelo Vulpiani (Roma La Sapienza) Lorenzo Zanelli (Padova) Marta Zoppello (Padova) Menu. Here $s$ is the variable of arclength We study the properties of such distance. The state space determines the types of equilibrium that can be reached by the system. In this work, we study the minimal time to steer a Citation: Benedetto Piccoli, Francesco Rossi. modelling vehicular traffic in which the velocity field depends non-locally on show that it metrizes weak convergence for tight sequences. 2 Francesco Rossi is with Aix Marseille Universit´e, CNRS, EN-SAM, Universit´e de Toulon, LSIS UMR 7296,13397, Marseille, France. time-varying manifold with complete coupling between the PDE and the manifold's In particular, we consider the Cauchy problem for a MATLAB Central contributions by Francesco Rossi. Missing lyrics by Francesco Rossi? In this paper we study a model of geometry of vision due to Petitot, Citti This assumption has an interpretation in terms of average connecte... We provide a mean-field description for a leader-follower dynamics with mass transfer among the two populations. For this functional we discuss the problem of existence of minimize... We present an invariant definition of the hypoelliptic Laplacian on sub-Riemannian structures with constant growth vector using the Popp's volume form introduced by Montgomery. Such equations often appear by taking the mean-field limit of finite-dimensional systems modelling collective dynamics. Watch the song video Paper Aeroplane [Clock Place Remix] 2.1M. Anytime, anywhere, across your devices. with source, in which both the vector field and the source depen... We consider the problem of minimizing $\int_{0}^L \sqrt{\xi^2 +K^2(s)}\, ds $ The examples we have in mind span both cases of real dynamics, such as crowd in motion, but also virtual dynamics, such as opinion formation in social networks. Choose a web site to get translated content where available and see local events and offers. Authors: Benedetto Piccoli, Francesco Rossi. Easy #8. This chapter revises some modeling, analysis, and simulation contributions for crowd dynamics using time-evolving measures. We prove that, for each initial and final configuration, one can steer one to another with such class of controls only... We consider nonlinear transport equations with non-local velocity, describing the time-evolution of a measure, which in practice may represent the density of a crowd. Verified email at math.unipd.it - Homepage. francesco.rossi@lsis.org 4Emmanuel Tr´elat is with Sorbonne Universit ´es, UPMC Univ. Know any other songs by Francesco Rossi? Meanwhile, convergence to specifi... We study an optimal control problem for traffic regulation via variable speed limit. Francesco Russo 8 rue de Valois Paris. Supervisors: Fabio Ancona, ancona@math.unipd.it; Francesco Rossi, francesco.rossi@math.unipd.it Research Group: The project is strengthened by well-established international collaborations of the advisors with leading experts of the research fields of the topic. In this paper we show that certain piecewise-linear Lyapunov functions are preserved for LTI systems under Padé approximations. Enjoy millions of the latest Android apps, games, music, movies, TV, books, magazines & more. Fabio Ancona (ancona@math.unipd.it), Francesco Rossi (francesco.rossi@math.unipd.it)) Research Group: The recruited fellow will spend 3 to 6 months in one (or two) of … Francesca Carlo... 2006-2007. Citation: Benedetto Piccoli, Francesco Rossi. … In this paper we consider the problem of reconstructing a curve that is partially hidden or corrupted by minimizing the functional ¿¿(1+K²)ds, depending both on length and curvature K. We fix starting and ending points as well as initial and final directions. Jungers Marc Directeur de Recherches CNRS, Laboratoire CRAN, UMR 7039 CNRS Université de Lorraine Verified email at univ-lorraine.fr. The well-known Cucker-Smale model is a microscopic system reproducing the alignment of velocities in a group of autonomous agents. Sort. In the present chapter we study the emergence of global patterns in large groups in first and second-order multi-agent systems, focusing on two ingredients that influence the dynamics: the interaction network and the state space. The Mathematics of the Models of Reference (Texts in Computing) We show that the geometric approach based on... We study the controllability of a Partial Differential Equation of transport type, that arises in crowd models. Jun 17, 2014 - Explore Cindi Stockton's board "Statistics" on Pinterest. LXXXVIII Encuentro Anual – Temuco 2019 Sociedad de Matem´atica de Chile The heat and the Schroedinger equation in almost-Riemannian geometry Ugo Boscain* Discrete & Continuous Dynamical Systems - A, 2019, 39 (11) : 6207-6230. doi: 10.3934/dcds.2019270 We show that the minimal time to s... We introduce a new formulation for differential equation describing dynamics of measures on an Euclidean space, that we call Measure Differential Equations with sources. Francesco Rossi, Control of the transport equation for crowds Slides. Control Theory crowd modeling. decomposed as a... We consider the problem of minimizing ∫0ℓ √(ξ2+K2(s)ds) for a planar curve having fixed initial and final positions and directions. Accept 1 answer given by other contributors. May 9th - Aula Magna DEI May 10th - Aula 1AD100 Torre Archimede . University students and faculty, institute members, and independent researchers, Technology or product developers, R&D specialists, and government or NGO employees in scientific roles, Health care professionals, including clinical researchers, Journalists, citizen scientists, or anyone interested in reading and discovering research. Only verified researchers can join ResearchGate and send messages to other members. Benedetto Piccoli Francesco Rossi y Magali Tournus z Abstract We introduce the optimal transportation interpretation of the Kantorovich norm on the space of signed Radon measures with nite mass, based on a generalized Wasserstein distance for measures with di erent masses. A Member Of The STANDS4 Network. field, representing a perturbation of the crowd velocity, localized p In this paper we study the Carnot-Caratheodory metrics on SU(2) ≃ S3, SO(3) and SL(2) induced by their Cartan decomposition and by the Killing form. In this paper, we introduce the concept of Developmental Partial Differential total length $L$ is free. Add it Here. In this paper we provide explicitly the connection between the hypoelliptic heat kernel for some 3-step sub-Riemannian manifolds and the quartic oscillator. Nell’ambito delle iniziative legate all’alternanza scuola-lavoro e al Piano Lauree Scientifiche Matematica il Liceo “F. Become A Better Singer In Only 30 Days, With Easy Video Lessons! Paris 6, CNRS UMR 7598, Laboratoire Jacques-Louis Lions and Insti-tut Universitaire de France, 4 place Jussieu, 75005, Paris, France emmanuel.trelat@upmc.fr according to x˙ i = å j6=i a ij(x j x i) for i =1;:::;N; (1) for some coefficients a ij 0. Articles Cited by Co-authors. 132 new math submissions for December 2, 2020Feed delayed by one hour. I am the responsible of MAPPA: Mathematical Analysis and Probability, Sub-Riemannian Geometry and Hypoelliptic Heat Equations on 3D Lie Groups - with applications to image reconstruction Chengbo Li 2008-2009. Due to our privacy policy, only current members can send messages to people on ResearchGate. The control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed control set. the alignment of velocities in a group of autonomous agents 13,263 267. more tracks from the album Cream Ibiza Anthems 2013 #7. One of the main features of this model is that the primary visual supervisione del Prof. Francesco Rossi, in qualità di Responsabile Scientifica; HAVING CONSIDERED Legislative Decree DL no. Padé Discretization for Linear Systems With Polyhedral Lyapunov Functions. We welcome any additional information. flocking, i.e. the downstream traffic density via a discontinuous anisotropic kernel. Francesco Russo 8 rue de Valois Paris. In this paper we present a model of geometry of vision which generalizes one due to Petitot, Citti and Sarti. In this work, we study the minimal time to steer a given crowd to a desired configuration. F. Rossi. I am with the Department of Mathematics "Tullio Levi-Civita". Cited by. transport partial differential equation involving nonlocal... To model association fields that underly perceptional organization (gestalt) in psychophysics we consider the problem P (curve) of minimizing for a planar curve having fixed initial and final positions and directions. Profile: "The reaction has been incredible, this is a monster! n. 143 – Math en Jeans Pubblicato il 7 Febbraio 2018 da Franco Fusaro Contenuto in: Circolari , In evidenza , Studenti given by the coupling of a system of ODEs and a PDE of Vlasov-type. problems arise naturally as ${\Gamma}$-limits of optimal control problems given by a system of ODE for the leaders coupl... We study the controllability of a closed control-affine quantum system driven by two or more external fields. Abstract. Neurons are grouped into orientation columns, each of them corresponding to a for a planar curve having fixed initial and final positions and directions. This is equivalent to the existence of a gap in the diameter of orbit spaces of compact connected Lie group unitary actions on the Hermitian spheres. Here, we focus on its mean-field limit, which we call the continuous Cucker-Smale model. Cited by. Advisor 1: Francesco Rossi Advisor 2: Maxime Hauray No students known. Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Padé approximations, under the assumption that the continuous-time system matrix Ac has distinct eigenvalues. … n. 143 – Progetto Math-en-Jeans Circ. This definition generalizes the one of the Laplace–Beltrami operator in Riemannian geometry. Circ. optimal control problems with ODE constraints, modeling parsimonious Supervisors: Fabio Ancona, ancona@math.unipd.it; Francesco Rossi, francesco.rossi@math.unipd.it Research Group: The project is strengthened by well-established international collaborations of the advisors with leading experts of the research fields of the topic. Cited by. Download PDF Abstract: Bounded-confidence models in social dynamics describe multi-agent systems, where each individual interacts only locally with others. The control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed control set. © 2008-2020 ResearchGate GmbH. Francesco Rossi Università degli Studi di Padova Verified email at math.unipd.it Emmanuel Trélat Sorbonne Université Verified email at sorbonne-universite.fr Jan Vybíral Czech Technical University Verified email at fjfi.cvut.cz combinations of the Dirac delta and some of its derivatives, where the weights All rights reserved. Enjoy millions of the latest Android apps, games, music, movies, TV, books, magazines & more. Francesco Salviati, original name Francesco de’ Rossi, also called Cecchino, (born 1510, Florence [Italy]—died November 11, 1563, Rome), painter and designer, one of the leading Mannerist fresco painters of the Florentine-Roman school.. Salviati studied and worked with Andrea del Sarto and in about 1531 was called by Cardinal Giovanni Salviati (from whom he took his surname) to work in Rome. Due to the situation in Italy (and in Europe), we are forced to cancel the conference Geometry and Analysis in Control Theory Padova, 16 - 17 Aprile 2020 I am a Professor at Università di Padova, Italy. Our awesome collection of Promoted Songs » Hidden City Flyer (Ticke… David Gagne. In this paper, we extend and complete the classification of the generic singularities of the 3D-contact sub-Riemmanian conjugate locus in a neighbourhood of the origin. The control is a vector According to our current on-line database, Francesco Rossi has 1 student and 1 descendant. The Web's Largest Resource for Music, Songs & Lyrics. given crowd to a desired configuration. The Wasserstein distances W p (p  $${\\geqq}$$ ≧ 1), defined in terms of a solution to the Monge–Kantorovich problem, are known to be a useful tool to investigate transport equations.

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