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Publications Influence

Particle, kinetic, and hydrodynamic models of swarming

- J. A. Carrillo, M. Fornasier, G. Toscani, F. Vecil
- Physics
- 2010

We review the state-of-the-art in the modelling of the aggregation and collective behavior of interacting agents of similar size and body type, typically called swarming. Starting with… Expand

242 14- PDF

Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model

- J. Carrillo, M. Fornasier, Jesús Rosado, G. Toscani
- Computer Science, Mathematics
- SIAM J. Math. Anal.
- 26 February 2010

TLDR

317 12- PDF

A Kinetic Flocking Model with Diffusion

- R. Duan, M. Fornasier, G. Toscani
- Mathematics
- 22 August 2010

We study the stability of the equilibrium states and the rate of convergence of solutions towards them for the continuous kinetic version of the Cucker-Smale flocking in presence of diffusion whose… Expand

95 4- PDF

Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces

- S. Dahlke, M. Fornasier, H. Rauhut, G. Steidl, G. Teschke
- Mathematics
- 1 March 2008

This paper is concerned with generalizations and specific applications of the coorbit space theory based on group representations modulo quotients that has been developed quite recently. We show that… Expand

63 3- PDF

Consistency of variational continuous-domain quantization via kinetic theory

- M. Fornasier, Jan Haskovec, G. Steidl
- Physics, Mathematics
- 5 December 2011

We study the kinetic mean-field limits of the discrete systems of interacting particles used for halftoning of images in the sense of continuous-domain quantization. Under mild assumptions on the… Expand

11 2- PDF

Inferring Interaction Rules From Observations of Evolutive Systems I: The Variational Approach

- Mattia Bongini, M. Fornasier, M. Hansen, M. Maggioni
- Mathematics
- 31 January 2016

In this paper we are concerned with the learnability of nonlocal interaction kernels for first order systems modeling certain social interactions, from observations of realizations of their dynamics.… Expand

21 1- PDF

Biodistribution of paclitaxel poliglumex (PPX) in lung: Analysis of gender-related alterations in a preclinical model.

- C. Allievi, I. Strepponi, +7 authors J. Singer
- Medicine
- Journal of clinical oncology : official journal…
- 20 June 2006

17003 Background: PPX is a macromolecular drug conjugate that links paclitaxel with poly-L-glutamic acid; the release of paclitaxel is dependent on metabolism by lysosomal proteases, particularly… Expand

3 1

Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data

- M. Fornasier, R. March, F. Solombrino
- Mathematics
- 1 June 2013

We consider the regularization of linear inverse problems by means of the minimization of a functional formed by a term of discrepancy to data and a Mumford-Shah functional term. The discrepancy term… Expand

12 1

Fluid dynamic description of flocking via the Povzner–Boltzmann equation

- M. Fornasier, J. Haskovec, G. Toscani
- Mathematics
- 2011

We introduce and discuss the possible dynamics of groups of indistinguishable agents, which are interacting according to their relative positions, with the aim of deriving hydrodynamic equations.… Expand

64- PDF

Spatially Inhomogeneous Evolutionary Games

- L. Ambrosio, M. Fornasier, M. Morandotti, Giuseppe Savaré
- Mathematics
- 10 May 2018

We introduce and study a mean-field model for a system of spatially distributed players interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve by a replicator… Expand

9- PDF