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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260505T161500
DTEND;TZID=Europe/Berlin:20260505T161500
DTSTAMP:20260618T035323
CREATED:20260606T204227Z
LAST-MODIFIED:20260606T204227Z
UID:10000141-1777997700-1777997700@www.trr352.de
SUMMARY:From Scattering to Local Decay: The case of Time Dependent Potentials and Nonlinear Equations
DESCRIPTION:I will describe the new approach to scattering theory\, which extends to time dependent potentials\, including nonlinear equations. In particular\, recent progress for one dimensional cases\, Long-Range scattering and Local-Decay estimates.
URL:https://www.trr352.de/event/from-scattering-to-local-decay-the-case-of-time-dependent-potentials-and-nonlinear-equations/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260506T161500
DTEND;TZID=Europe/Berlin:20260506T171500
DTSTAMP:20260618T035323
CREATED:20260617T062841Z
LAST-MODIFIED:20260617T062841Z
UID:10000150-1778084100-1778087700@www.trr352.de
SUMMARY:Global Self-Similar solutions\, Breakdown of Asymptotic Completeness-New Physics?
DESCRIPTION:For Schrödinger-type equations with time-dependent\, spatially local interactions — including nonlinear cases — there exist solutions that are neither localized nor scattering. These solutions exhibit sub-ballistic spreading\, yet are global\, asymptotically stable\, and transport mass (the L^2-norm) to infinity. I will describe the construction of such self-similar solutions and discuss some of their physical implications.
URL:https://www.trr352.de/event/global-self-similar-solutions-breakdown-of-asymptotic-completeness-new-physics/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260508T150000
DTEND;TZID=Europe/Berlin:20260508T150000
DTSTAMP:20260618T035323
CREATED:20260426T173058Z
LAST-MODIFIED:20260426T173125Z
UID:10000138-1778252400-1778252400@www.trr352.de
SUMMARY:Limit processes for KPZ models with flat initial conditions (Probability Colloquium Augsburg-Munich)
DESCRIPTION:We consider stochastic growth models in the Kardar-Parisi-Zhang universality class\, like the asymmetric simple exclusion process or the last passage percolation. We will give an overview of older and recent results on the limit process and its properties for KPZ growth models with flat initial conditions\, ranging from regularity\, decorrelation in space and time\, to the persistence probability of the limit processes.
URL:https://www.trr352.de/event/limit-processes-for-kpz-models-with-flat-initial-conditions-probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260508T163000
DTEND;TZID=Europe/Berlin:20260508T163000
DTSTAMP:20260618T035323
CREATED:20260426T173257Z
LAST-MODIFIED:20260426T173257Z
UID:10000139-1778257800-1778257800@www.trr352.de
SUMMARY:Mixing times of liftings of the Totally Asymmetric Simple Exclusion Process (Probability Colloquium Augsburg-Munich)
DESCRIPTION:Under suitable assumptions\, a Markov chain will converge at large times to its stationary measure\, over a time scale known as the mixing time. Markov chains can then be used to approximately sample from a complex distribution\, which is the principle underlying Markov Chain Monte Carlo techniques. In this context\, there has been strong interest both in the physics and the mathematics literature in lifting Markov chains\, which is a way to modify an initial Markov chain so that that the lifted Markov chain converges faster to its stationary measure. We study a particle system which is both a lifting of the TASEP (Totally Asymmetric Simple Exclusion Process) and a periodic instance of self-repelling random walks. Using a graphical representation\, we identify a coupling time with some delay\, which allows us to study two notions of mixing times of the model. For the standard notion of mixing time\, we show that the model does not converge abruptly to stationarity\, whereas for a mixing time associated with an average of the distribution over the last few steps\, convergence to stationarity is abrupt\, which is known as the cutoff phenomenon.
URL:https://www.trr352.de/event/mixing-times-of-liftings-of-the-totally-asymmetric-simple-exclusion-process-probability-colloquium-augsburg-munich/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260519T161500
DTEND;TZID=Europe/Berlin:20260519T161500
DTSTAMP:20260618T035323
CREATED:20260606T204336Z
LAST-MODIFIED:20260606T204410Z
UID:10000142-1779207300-1779207300@www.trr352.de
SUMMARY:The liquid-vapor phase transition in a system with a finite but coarse-grained attraction
DESCRIPTION:The standard approach to studying the liquid-vapor phase transition uses the Maxwell double-tangent construction. Whereas this construction is easily justified physically\, deriving it mathematically has proved to be more difficult. In 1966\, Lebowitz and Penrose proved the Maxwell construction in a mean field model\, where the particles interact via a hard-core repulsion\, and an infinite range\, infinitely weak attraction. Generalizing their result to finite pair attractions remains an open problem. \nIn this talk\, I will discuss a proof of the existence of a liquid-vapor phase transition in a system with an attraction that is finite\, but is also coarse-grained. More precisely\, we split up space into mesoscopic boxes\, and define an attraction that ignores the location of the particles within each box. Defined in this way\, our model is reflection positive\, which allows us to prove the existence of a liquid-vapor phase transition. \nThis is joint work with Qidong He\, Joel L. Lebowitz\, and Ron Peled.
URL:https://www.trr352.de/event/the-liquid-vapor-phase-transition-in-a-system-with-a-finite-but-coarse-grained-attraction/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20260520T161500
DTEND;TZID=Europe/Berlin:20260520T170000
DTSTAMP:20260618T035323
CREATED:20260617T063019Z
LAST-MODIFIED:20260617T063019Z
UID:10000151-1779293700-1779296400@www.trr352.de
SUMMARY:A framework to study twisted bilayer graphene in a tight binding model
DESCRIPTION:The study of the electronic properties of twisted bilayer graphene (TBG) has garnered much attention from the condensed matter community recently. TBG is obtained by stacking two graphene monolayers on top of each other\, and rotating one of them with respect to the other. Theoretical and experimental analyses have found that the electronic properties of TBG depend very strongly on the angle between the layers. In fact\, a handful of “magic” angles have been predicted at which TBG becomes a superconductor\, and this has even been verified experimentally. \nThe model commonly used to study TBG is an effective one\, and was derived by Bistritzer and MacDonald. In this talk\, I will present recent results on developing a framework to study TBG from first principles. To be more exact\, we consider a tight-binding model for the electrons\, but make no further approximations. Using a renormalization group technique\, we construct a perturbative expansion to study TBG that is convergent when the twisting angle satisfies certain diophantine conditions. This is joint work with V. Mastropietro.
URL:https://www.trr352.de/event/a-framework-to-study-twisted-bilayer-graphene-in-a-tight-binding-model/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
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