M. Fornasier

Publications21
h-index9
Citations846
Highly Influential Citations38
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Particle, kinetic, and hydrodynamic models of swarming
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
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Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model
TLDR
We analyze the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [IEEE Trans. Automat. Control, 52 (2007), pp. 852–862], which describes the collective behavior of an ensemble of organisms, animals or devices. Expand
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A Kinetic Flocking Model with Diffusion
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
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Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces
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
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Consistency of variational continuous-domain quantization via kinetic theory
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
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Inferring Interaction Rules From Observations of Evolutive Systems I: The Variational Approach
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
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Biodistribution of paclitaxel poliglumex (PPX) in lung: Analysis of gender-related alterations in a preclinical model.
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
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Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data
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
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Fluid dynamic description of flocking via the Povzner–Boltzmann equation
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
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Spatially Inhomogeneous Evolutionary Games
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
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