Sorin Popa, UCLA Structure and randomness in II_1 factors Lunedì 29 Giugno 2026, ore 16:30 Aula Rogers Via Andrea Maria Ampère, 10, 20131 Milano MI | |
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Rupert Frank, LMU Munchen, Mathematics Institute The liquid drop model Martedì 09 Giugno 2026, ore 16:30 Dipartimento di Matematica, Aula Consiglio, 7° piano | |
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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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Abstract
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This question has been much discussed in physics and one suggestion is that the
long time persistence of classical/quantum correspondence is due to interaction of a
small, observed system with a larger environment. Lindblad or GKSL evolution is one of the
standard models for describing such interactions. In that context the question of the
length of time of classical/quantum agreement was recently revisited in physics by
Hernández-Ranard-Riedel.
In my talk I will introduce the concept of Lindblad evolution and present results showing
that the evolution of a quantum observable remains close to the classical Fokker-Planck
evolution in the Hilbert-Schmidt norm for times vastly exceeding the Ehrenfest time (the
limit of such an agreement when there is no interaction with a larger system). The time
scale is the same as in two recent papers by Hernández-Ranard-Riedel but the statement
andmethods are different. The talk is based on joint work with J Galkowski and numerical
results obtained jointly with Z Huang. I will also comment on recent progress on trace
class estimates by Z Li and on the hypoelliptic case by H Smith. |
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