Mikaela Iacobelli
A gradient flow perspective on the quantization problem
Iacobelli, Mikaela; Cardaliaguet, Pierre; Porretta, Alessio; Salvarani, Francesco
Authors
Pierre Cardaliaguet
Alessio Porretta
Francesco Salvarani
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, December). A gradient flow perspective on the quantization problem. Presented at PDE Models for Multi-Agent Phenomena, Rome, Italy
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 |
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Copyright Statement
This is a post-peer-review, pre-copyedit version of an article published in PDE models for multi-agent phenomena. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-01947-1_7
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