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pro vyhledávání: '"Caldini, Gianmarco"'
In this article we prove that each integral cycle $T$ in an oriented Riemannian manifold $\mathcal{M}$ can be approximated in flat norm by an integral cycle in the same homology class which is a smooth submanifold $\Sigma$ of nearly the same area, up
Externí odkaz:
http://arxiv.org/abs/2411.17678
Given a complete Riemannian manifold $\mathcal{M}\subset\mathbb{R}^d$ which is a Lipschitz neighbourhood retract of dimension $m+n$, of class $C^{h,\beta}$ and an oriented, closed submanifold $\Gamma \subset \mathcal M$ of dimension $m-1$, which is a
Externí odkaz:
http://arxiv.org/abs/2302.01320
Autor:
Caldini, Gianmarco
The aim of this article is to define a notion of cardinal utility function called measurable utility and to define it on a connected and separable subset of a weakly ordered topological space. The definition is equivalent to the ones given by Frisch
Externí odkaz:
http://arxiv.org/abs/2301.01271
Autor:
Caldini, Gianmarco
This thesis is devoted to the study of well-posedness properties of some geometric variational problems: existence, regularity and uniqueness of solutions. We study two specific problems arising in the context of geometric calculus of variations and
Externí odkaz:
http://arxiv.org/abs/2212.11951
We prove that for the generic boundary, in the sense of Baire categories, there exists a unique minimizer of the associated optimal branched transportation problem.
Externí odkaz:
http://arxiv.org/abs/2205.05023
Publikováno v:
In Journal de mathématiques pures et appliquées January 2024 181:1-21
Akademický článek
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Autor:
Caldini, Gianmarco
The aim of this article is to define a notion of cardinal utility function called measurable utility and to define it on a connected and separable subset of a weakly ordered topological space. The definition is equivalent to the ones given by Frisch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a473f6e4666417e424c83a8dc3dae70c