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Konferenzen und Workshops

Forschungsseminar über diskrete Spektraltheorie

05.02.2025, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Spectral estimate for the Laplacian on hyperbolic surfaces

Marc Rouveyrol (Univ. Paris-Saclay)

Abstract: Spectral inequalities consist in bounding the norm of spectrally localized functions by their norm on a smaller, so-called "sensor" set, up to some factor depending on their frequency bound.... 

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29.01.2025, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Dynamics of the Sturmian Trace Skew Product

Seung uk Jang (Université de Rennes)

Abstract: In this talk, we focus on the spectrum of the discrete Schrödinger equation with a quasi-periodic potential called Sturmianpotential. Eigenvector problem with a Sturmian potential is associa... 

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22.01.2025, 13:00  –  Haus 9, Raum 2.22 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Constructive gap-labelling and scaling properties of the Fibonacci Hamiltonian

Laurent Raymond (Marseille)

Abstract: With the recent publication of a solution of the the so-called « dry ten martinis problem », closing an old conjecture about the gap-labeling of of calls of aperiodic Schrödinger operators... 

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15.01.2025, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Classical transport in a maximally chaotic chain

Remy Dubertrand (Northumbria university, UK)

Abstract: CAT maps (for Continuous Automorphisms on the Torus) are known as one family of chaotic systems. They have been intensively used to study the quantum/classical correspondence. In the last... 

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08.01.2025, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Natural extensions of semigroup actions and applications to periodic approximations

Miguel Donoso Echenique (UC Chile)

Abstract: We review the property of periodic approximations (PA) for groups, and generalize some results to semigroups. In order to do this, we develop the tool of natural extensions, dealing with... 

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18.12.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

On nonlinear Dirichlet forms

Simon Puchert (Jena)

Abstract: The subject of nonlinear Dirichlet forms is rather new and as such, still has many simple open questions. In this talk, we will establish a new characterization that more closely resembles... 

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27.11.2024, 13:00 Uhr  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Uniqueness for the heat equation on infinite graphs

Giulia Meglioli (Bielefeld)

Abstract: The talk is concerned with uniqueness of solutions to a class of heat equations with positive density posed on infinite weighted graphs. We separately consider the case when the density is... 

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11.11.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Cheeger type inequalities associated with isocapacitary constants on graphs

Tao Wang (Fudan University Shanghai)

Abstract: In this talk, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a... 

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06.11.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Every Salami has two ends

Florentin Münch (Universität Leipzig)

Abstract: In this talk, we prove that every salami has exactly two ends. As is well known to experts, a salami is a weighted graph with non-negative Ollivier Ricci curvature with at least two ends of... 

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30.10.2024, 16:00  –  Zoom
Forschungsseminar Diskrete Spektraltheorie

Dimensional Properties for the Spectra of Sturmian Hamiltonians in a Small Coupling Regime

Alexandro Luna (UCI)

Abstract: We prove that the Hausdorff dimension of the spectrum of a Sturmian Hamiltonian of bounded type tends to one as the coupling constant tends to zero. We give a sketch of the proof which... 

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30.10.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

On the Eldan–Gross Inequality

Haonan Zhang (University of South Carolina)

Abstract: Recently, Eldan and Gross developed a stochastic analysis approach to proving functional inequalities on discrete hypercubes. Motivated by a conjecture of Talagrand, one of their main... 

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23.10.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

The unitary almost-Mathieu operator and (possibly) beyond.

Christopher Cedzich (Düsseldorf)

Abstract: In this talk, we introduce the unitary almost-Mathieu operator (UAMO) and discuss its connections to several model systems in physics and mathematics. We draw parallels to the self-adjoint... 

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26.06.2024, 11:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

A stability phase transition for cosmological fluids

David Fajman (Universität Wien)

Abstract:

Fluids are generally known to form shocks in finite time from small inhomogeneities. When the fluid evolves in an expanding spacetime, as in standard cosmology,

the expansion of spacetime... 

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29.05.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Quantum information scrambling and chaos induced by a Hermitian matrix (joint work with Uzy Smilansky)

Sven Gnutzmann

Abstract: Given an arbitrary Hermitian matrix, considered as a finite discrete quantum Hamiltonian, we use methods from graph and ergodic theories to construct a corresponding unitary scattering... 

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08.05.2024, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Anti-Faber-Krahn property for the heat content on metric graphs (or “Building better batteries”)

Matthias Täufer (Hagen)

Abstract: We speak about the heat content at time t on metric graphs. This quantity measures how much mass of a constant initial configuration remains in the graph at time t under the action of the... 

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