Marcel Guardia, Universitat de Barcelona
Unstable motions in Celestial Mechanics
Mercoledì 04 Marzo 2026, ore 14:30
aula C03 - Via Mangiagalli 25 - Università degli Studi di Milano | |
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Luigi Ambrosio, SNS Pisa
Well posedness of ODE's for nonsmooth velocities and in non Euclidean ambient spaces: a survey
Mercoledì 28 Gennaio 2026, ore 14:00
aula U6-30, Dipartimento di Matematica e Applicazioni - Università Milano - Bicocca | |
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Alberto Bressan, Penn State University
Modeling Traffic Flow
Giovedì 12 Giugno 2025, ore 15:30
aula U5-3014 del Dip. di Matematica e Applicazioni, Università Bicocca | |
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Maciej Zworski, University of California
Why is our world classical despite being governed by quantum mechanics?
Lunedì 09 Giugno 2025, ore 16:00 precise
Aula Seminari MOX VI piano - Dipartimento di Matematica - Ed. La Nave - Politecnico di Milano, via Bonardi 9 | |
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Cristina Trombetti, Università degli Studi di Napoli Federico II
Some free boundary problems in thermal insulation
Venerdì 23 Maggio 2025, ore 11:30 precise
Aula B.5.4, quinto piano, ed. 14 "La Nave", Politecnico di Milano | |
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Armen Shirikyan, University of Cergy-Pontoise
Gallavotti–Cohen fluctuation theorem: Universal law of non-equilibrium statistical mechanics.
Mercoledì 26 Febbraio 2025, ore 16:00 precise
Aula seminari MOX, sesto piano del Dipartimento di Matematica, Edificio 14 "La Nave", Politecnico di Milano |
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Abstract
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The irreversible behaviour of macroscopic processes governed by reversible laws of classical or quantum physics has been a captivating subject in statistical mechanics going back at least to the pioneering work of Boltzmann. The general consensus reached by the middle of the last century was that the second law of thermodynamics, which states that entropy increases with time, is empirical in nature, and that the probability of a negative fluctuation of entropy is so small that it cannot be observed in practice. A natural question is the quantitative description of that claim. A breakthrough on this subject came in the middle of nineties due to the work of Evans-Searles and Gallavotti-Cohen.
In this talk, I shall illustrate their discovery on the simplest example of finite state Markov chains. It will be shown that, under some natural hypotheses, one can define an entropy production observable whose time averages satisfy the large deviation principle. The resulting rate function possesses a symmetry property which implies that the probability of a negative value for the mean entropy production is exponentially suppressed by that of the opposite positive value. I shall also discuss the realisation of this programme in the context of fluid flows. |
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