Dottore di ricerca

ciclo: XXXVI

supervisore: G. Crasta
relatore: G. Bianchi, P. Gronchi

Titolo della tesi: Modern aspects of Convexity and the interplay between Geometry and Analysis

This thesis focuses on three main topics: First variations for measures of epigraphs of convex functions, Valuations on convex functions, and symmetrization processes. Our investigation approach is based mainly on the geometric properties of the entities at hand, aiming to recover analytic results. Expanding on the modern literature, we obtain new results in the fields mentioned above and present new points of view which might lead to further developments.

Produzione scientifica

11573/1667481 - 2023 - Convergence properties of symmetrization processes
Ulivelli, Jacopo - 01a Articolo in rivista
rivista: ADVANCES IN APPLIED MATHEMATICS (Orlando Fla.: Academic Press Latest publisher: [New York]: Elsevier) pp. - - issn: 1090-2074 - wos: WOS:000927388800001 (0) - scopus: 2-s2.0-85147798789 (1)

11573/1586457 - 2021 - Generalization of Klain's Theorem to Minkowski Symmetrization of compact sets and related topics
Ulivelli, Jacopo - 01a Articolo in rivista
rivista: CANADIAN MATHEMATICAL BULLETIN (Editore attuale: CANADIAN MATHEMATICAL SOC, 577 KING EDWARD RD, PO BOX 450, STATION A, OTTAWA, CANADA, ONTARIO, K1N 6N5 Precedente: University of Toronto Press:Journals Department, 5201 Dufferin Street, Toronto Ontario M3H 5T8 Canada:(416)667-7810, EMAIL: journals@utpress.utoronto.ca, INTERNET: http://www.utpjournals.com, Fax: (416)667-7881) pp. - - issn: 0008-4395 - wos: WOS:000765593700001 (2) - scopus: 2-s2.0-85119205937 (3)

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