Next Spiedini Seminar
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Federico Thiella
Feb 16, 2026, 7:27:35 AMFeb 16
to spiedini-se...@unifi.it, Andrea Colesanti, dimai-dotto...@unifi.it, Matteo Calosci
English version below
Buongiorno a tutti,
Il prossimo seminario di S.P.I.E.Dini sarà tenuto da Igor Vinicius Pereira Pinheiro (Università di Firenze)
📅 Data e ora: 23 febbraio 2026, dalle 15:00 alle 16:00
Titolo: A reverse inequality in optimal mass transportation
Abstract: In 2007, Bouchitté, Jimenez and Rajesh proved a “worst-case” estimate in optimal transport: under suitable assumptions, one can bound the largest distance that mass travels in the optimal transport map using the average quadratic transport cost. This type of estimate became a standard tool in analysis and PDE. In 2016, Rajala and Jylha revisited the theory in a more systematic way, clarifying the underlying mechanism, and identifying sharp structural conditions under which an average transport cost can control a worst-case transport cost.
In this talk I will first explain the idea behind these reverse estimates. I will then present the main results of a recent work in which extend this viewpoint beyond the increasing costs of the distance and beyond the classical two-marginal setting. In particular, the paper develops reverse inequalities for more general costs and for multi-marginal optimal transport, showing how worst-case transport energies can be controlled in terms of integral energies together with explicit concentration information on the common marginal.
Per tenervi aggiornati sui prossimi seminari consultate il nostro sito e iscrivetevi alla nostra mailing list spiedini-seminar...@unifi.it
Chiunque sia interessato a esporre il proprio lavoro o abbia suggerimenti non esiti ad inviarci un’email a federico...@unifi.it matteo....@unifi.it
Vi aspettiamo,
A presto,
Federico e Matteo
————————————————————————————————————
Good morning everyone,
The next S.P.I.E.Dini seminar will be held by
📅 Date and time: February, 23th 2026, from 3 pm to 4 pm
Title: A reverse inequality in optimal mass transportation
Abstract: In 2007, Bouchitté, Jimenez and Rajesh proved a “worst-case” estimate in optimal transport: under suitable assumptions, one can bound the largest distance that mass travels in the optimal transport map using the average quadratic transport cost. This type of estimate became a standard tool in analysis and PDE. In 2016, Rajala and Jylha revisited the theory in a more systematic way, clarifying the underlying mechanism, and identifying sharp structural conditions under which an average transport cost can control a worst-case transport cost.
In this talk I will first explain the idea behind these reverse estimates. I will then present the main results of a recent work in which extend this viewpoint beyond the increasing costs of the distance and beyond the classical two-marginal setting. In particular, the paper develops reverse inequalities for more general costs and for multi-marginal optimal transport, showing how worst-case transport energies can be controlled in terms of integral energies together with explicit concentration information on the common marginal.
To stay updated on upcoming seminars, please visit our website and subscribe our mailing list spiedini-seminar...@unifi.it
Anyone interested in presenting their work or having suggestions is welcome to email us at federico...@unifi.it matteo....@unifi.it
We look forward to seeing you,
See you soon,
Federico and Matteo
Buongiorno a tutti,
Il prossimo seminario di S.P.I.E.Dini sarà tenuto da Igor Vinicius Pereira Pinheiro (Università di Firenze)
📅 Data e ora: 23 febbraio 2026, dalle 15:00 alle 16:00
Titolo: A reverse inequality in optimal mass transportation
Abstract: In 2007, Bouchitté, Jimenez and Rajesh proved a “worst-case” estimate in optimal transport: under suitable assumptions, one can bound the largest distance that mass travels in the optimal transport map using the average quadratic transport cost. This type of estimate became a standard tool in analysis and PDE. In 2016, Rajala and Jylha revisited the theory in a more systematic way, clarifying the underlying mechanism, and identifying sharp structural conditions under which an average transport cost can control a worst-case transport cost.
In this talk I will first explain the idea behind these reverse estimates. I will then present the main results of a recent work in which extend this viewpoint beyond the increasing costs of the distance and beyond the classical two-marginal setting. In particular, the paper develops reverse inequalities for more general costs and for multi-marginal optimal transport, showing how worst-case transport energies can be controlled in terms of integral energies together with explicit concentration information on the common marginal.
Chiunque sia interessato a esporre il proprio lavoro o abbia suggerimenti non esiti ad inviarci un’email a federico...@unifi.it matteo....@unifi.it
Vi aspettiamo,
A presto,
Federico e Matteo
————————————————————————————————————
Good morning everyone,
The next S.P.I.E.Dini seminar will be held by
📅 Date and time: February, 23th 2026, from 3 pm to 4 pm
Title: A reverse inequality in optimal mass transportation
Abstract: In 2007, Bouchitté, Jimenez and Rajesh proved a “worst-case” estimate in optimal transport: under suitable assumptions, one can bound the largest distance that mass travels in the optimal transport map using the average quadratic transport cost. This type of estimate became a standard tool in analysis and PDE. In 2016, Rajala and Jylha revisited the theory in a more systematic way, clarifying the underlying mechanism, and identifying sharp structural conditions under which an average transport cost can control a worst-case transport cost.
In this talk I will first explain the idea behind these reverse estimates. I will then present the main results of a recent work in which extend this viewpoint beyond the increasing costs of the distance and beyond the classical two-marginal setting. In particular, the paper develops reverse inequalities for more general costs and for multi-marginal optimal transport, showing how worst-case transport energies can be controlled in terms of integral energies together with explicit concentration information on the common marginal.
To stay updated on upcoming seminars, please visit our website and subscribe our mailing list spiedini-seminar...@unifi.it
Anyone interested in presenting their work or having suggestions is welcome to email us at federico...@unifi.it matteo....@unifi.it
We look forward to seeing you,
See you soon,
Federico and Matteo
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