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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240708T150000
DTEND;TZID=Europe/Berlin:20240708T150000
DTSTAMP:20260504T135101
CREATED:20250706T223923Z
LAST-MODIFIED:20250706T223923Z
UID:10000064-1720450800-1720450800@www.trr352.de
SUMMARY:Metastability of the contact process on evolving scale-free networks
DESCRIPTION:We study the contact process on scale-free inhomogeneous random graphs evolving according to a stationary dynamics\, where the neighbourhood of each vertex is updated with a rate depending on its strength. We identify the full phase diagram of metastability\nexponents in dependence on the tail exponent of the degree distribution and the rate of updating.\nThe talk is based on joint work with Emmanuel Jacob (Lyon) and Amitai Linker (Santiago de Chile).
URL:https://www.trr352.de/event/metastability-of-the-contact-process-on-evolving-scale-free-networks/
LOCATION:Room 8101.02.110 (Seminarraum)\, Parkring 11-13\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240710T160000
DTEND;TZID=Europe/Berlin:20240710T160000
DTSTAMP:20260504T135101
CREATED:20250706T223627Z
LAST-MODIFIED:20250706T223627Z
UID:10000063-1720627200-1720627200@www.trr352.de
SUMMARY:Classifying loops of symmetry-protected states
DESCRIPTION:The classification of states of quantum lattice systems is a well -defined mathematical endeavour which started with the discovery of the quantum Hall effect. In this talk\, I will discuss the topology of a simple cl ass\, the so-called invertible states\, which I will\ndefine. It is by definition a connected set\, and we shall explore its further topological properties. Specifically\, I will be interested in what can be identified with its fundamental group; Physically\, this is about classifying cycles of physical processes\, or pumps. I will\npresent a classification of such loops of invertible state that have a local symmetry\, which can be proved to be complete. This is joint work with Wojciech De Roeck\, Martin Fraas and Tijl Jappens.
URL:https://www.trr352.de/event/classifying-loops-of-symmetry-protected-states/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240711T121500
DTEND;TZID=Europe/Berlin:20240711T121500
DTSTAMP:20260504T135101
CREATED:20250706T223108Z
LAST-MODIFIED:20250706T223108Z
UID:10000062-1720700100-1720700100@www.trr352.de
SUMMARY:Augmenting Spectral Methods with Normalizing Flows and Application to Computing Molecular Excited States
DESCRIPTION:(Pseudo)spectral methods are popular for solving a wide variety of differential equations and generic optimization problems. Due to favourable approximation properties\, such as rapid convergence for smooth functions\, they are particularly popular and effective for solving time-independent Schrödinger equations. For example\, in the domain of molecular quantum physics\, spectral and pseudospectral methods are the building blocks for a variety of variational techniques to solve nuclear Schrödinger equations. Despite their many favourable approximation properties\, these methods suffer from the curse of dimensionality and have slow convergence rates for highly-oscillatory functions. This limits their applicability in a wide variety of fields. Moreover\, their effectiveness is highly dependent on the initial choice of the basis. \nIn this talk I propose increasing the expressivity of (pseudo)spectral methods by composing a chosen orthonormal basis with an optimizable measurable mapping. This gives rise to an induced sequence. I characterize necessary and sufficient conditions for this sequence to inherit the completeness of the underlying orthonormal basis. Here\, it is shown that the invertibility of the mapping is a necessary condition. Subsequently\, I discuss the approximation of Schwartz functions in the linear span of Hermite functions that are composed with invertible mappings. To this end\, I derive convergence guarantees and characterise the convergence order. Finally\, I show numerical simulations for computing the vibrational spectra of polyatomic molecules. In these simulations\, the invertible mapping was modelled using a normalizing flow\, i.e.\, an invertible neural network to augment the expressivity of a given basis. Comparisons against the use of standard bases demonstrate orders-of-magnitude increased accuracy when using normalizing flows.
URL:https://www.trr352.de/event/augmenting-spectral-methods-with-normalizing-flows-and-application-to-computing-molecular-excited-states/
LOCATION:Room 03.10.011\, Boltzmannstr. 3\, Garching Forschungszentrum\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240715T150000
DTEND;TZID=Europe/Berlin:20240715T150000
DTSTAMP:20260504T135101
CREATED:20250704T075811Z
LAST-MODIFIED:20250704T075811Z
UID:10000060-1721055600-1721055600@www.trr352.de
SUMMARY:Branching Brownian motion\, branching random walks\, and the Fisher-KPP equation in spatially random environment
DESCRIPTION:Branching Brownian motion\, branching random walks\, and the F-KPP equation have been the subject of intensive research during the last couple of decades. By means of Feynman-Kac and McKean formulas\, the understanding of the maximal particles of the former two Markov processes is related to insights into the position of the front of the solution to the F-KPP equation. We will discuss some recent result on extensions of the above models to spatially random branching rates and random nonlinearities. Interestingly\, the introduction of such inhomogeneities leads to a richer and much more nuanced picture when compared to the homogeneous setting.
URL:https://www.trr352.de/event/branching-brownian-motion-branching-random-walks-and-the-fisher-kpp-equation-in-spatially-random-environment/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240715T150000
DTEND;TZID=Europe/Berlin:20240715T150000
DTSTAMP:20260504T135101
CREATED:20250704T080124Z
LAST-MODIFIED:20250704T080124Z
UID:10000061-1721055600-1721055600@www.trr352.de
SUMMARY:Fluctuations in the dilute Curie-Weiss model
DESCRIPTION:The dilute Curie-Weiss model is the Ising model on a (dense) Erdös-Rényi graph G(N\,p). It was introduced by Bovier and Gayrard in 1990s. There the authors showed that on the level of laws of large numbers the magnetization as well as the free energy behave as they do in the usual Curie-Weiss model (i.e. mean-field Ising model). We analyze CLTs for the these quantities and give several critical values for p at which these fluctuations change. This is joint work with Zakhar Kabluchko and Kristina Schubert.
URL:https://www.trr352.de/event/fluctuations-in-the-dilute-curie-weiss-model/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240718T121500
DTEND;TZID=Europe/Berlin:20240718T121500
DTSTAMP:20260504T135101
CREATED:20250704T075338Z
LAST-MODIFIED:20250704T075530Z
UID:10000059-1721304900-1721304900@www.trr352.de
SUMMARY:Introduction to Modelling Molecular Observables and Spectral Responses
DESCRIPTION:This talk will provide a partial overview of how to model molecular observables and spectral responses. We shall start with the essential quantum mechanical concepts and formalisms that are used in theoretical chemistry and molecular physics. This will be followed by an illustration of the tools that are involved in numerical simulations in this context.
URL:https://www.trr352.de/event/introduction-to-modelling-molecular-observables-and-spectral-responses/
LOCATION:Room 03.10.011\, Boltzmannstr. 3\, Garching Forschungszentrum\, 85748\, Germany
CATEGORIES:Talks
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