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A gradient flow perspective on the quantization problem

Authors :
Mikaela Iacobelli
Cardaliaguet, Pierre
Porretta, Alessio
Salvarani, Francesco
Source :
Cardaliaguet, Pierre & Porretta, Alessio & Salvarani, Francesco (Eds.). (2018). PDE models for multi-agent phenomena. Cham: Springer, pp. 145-165, Springer INdAM series(28), Springer INdAM Series ISBN: 9783030019464
Publication Year :
2018
Publisher :
Springer, 2018.

Abstract

In this paper we review recent results by the author on the problem of quantization of measures. More precisely, we propose a dynamical approach, and we investigate it in dimensions 1 and 2. Moreover, we discuss a recent general result on the static problem on arbitrary Riemannian manifolds.

Details

ISBN :
978-3-030-01946-4
ISBNs :
9783030019464
Database :
OpenAIRE
Journal :
Cardaliaguet, Pierre & Porretta, Alessio & Salvarani, Francesco (Eds.). (2018). PDE models for multi-agent phenomena. Cham: Springer, pp. 145-165, Springer INdAM series(28), Springer INdAM Series ISBN: 9783030019464
Accession number :
edsair.doi.dedup.....58abc41afb959fe5c104223b38b6513c