A gradient flow perspective on the quantization problem

Iacobelli, Mikaela; Cardaliaguet, Pierre; Porretta, Alessio; Salvarani, Francesco

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.

Citation

Iacobelli, M., Cardaliaguet, P., Porretta, A., & Salvarani, F. (2018). A gradient flow perspective on the quantization problem. In PDE models for multi-agent phenomena (145-165). https://doi.org/10.1007/978-3-030-01947-1_7

• Presentation Conference Type: Conference Paper (Published)
• Conference Name: PDE Models for Multi-Agent Phenomena
• Acceptance Date: Nov 5, 2018
• Online Publication Date: Dec 23, 2018
• Publication Date: Dec 30, 2018
• Deposit Date: Nov 5, 2018
• Publicly Available Date: Dec 23, 2019
• Pages: 145-165
• Series Title: Springer INdAM series
• Series Number: 28
• Series ISSN: 2281-518X
• Book Title: PDE models for multi-agent phenomena.
• ISBN: 9783030019464
• DOI: https://doi.org/10.1007/978-3-030-01947-1_7
• Public URL: https://durham-repository.worktribe.com/output/1143700
• Related Public URLs: https://arxiv.org/abs/1711.01652