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BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231201T150000
DTEND;TZID=Europe/Berlin:20231201T150000
DTSTAMP:20260504T220033
CREATED:20250707T111158Z
LAST-MODIFIED:20250707T111158Z
UID:10000081-1701442800-1701442800@www.trr352.de
SUMMARY:Close-up on random convex interfaces
DESCRIPTION:In this talk\, we investigate random convex interfaces which are generated as convex hulls of random point sets. We are interested in their asymptotic behavior when the size of the input goes to infinity. In a first part\, we mainly identify average and maximal fluctuations in the radial and longitudinal directions through precise convergence results. We observe that the model shares some common features with the famous KPZ universality class of certain growth processes\, including the scaling of type 1:2:3 or the appearance of a limit distribution similar to the Tracy-Widom distribution. In a second part\, we consider the peeling procedure which consists in iterating the construction of the convex hull of the point set. The so-called layers are asymptotically governed by a deterministic analytical model and we study the geometric characteristics of each of the first layers. The talk is based on several joint works with Joe Yukich and Gauthier Quilan.
URL:https://www.trr352.de/event/close-up-on-random-convex-interfaces/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20231201T150000
DTEND;TZID=Europe/Berlin:20231201T150000
DTSTAMP:20260504T220033
CREATED:20250707T111333Z
LAST-MODIFIED:20250707T111333Z
UID:10000082-1701442800-1701442800@www.trr352.de
SUMMARY:Harmonic measure in a multidimensional gambler's problem
DESCRIPTION:We consider a random walk in a truncated cone K_N \, which is obtained by slicing cone K by a hyperplane at a growing level of order N. We study the behaviour of the Green function in this truncated cone as N increases. Using these results we also obtain the asymptotic behaviour of the harmonic measure. The obtained results are applied to a multidimensional gambler’s problem studied by Diaconis and Ethier (2022). In particular we confirm their conjecture that the probability of eliminating players in a particular order has the same exact asymptotic behaviour as for the Brownian motion approximation. We also provide a rate of convergence of this probability towards this approximation.
URL:https://www.trr352.de/event/harmonic-measure-in-a-multidimensional-gamblers-problem/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240109T141500
DTEND;TZID=Europe/Berlin:20240109T141500
DTSTAMP:20260504T220033
CREATED:20250706T232123Z
LAST-MODIFIED:20250829T134919Z
UID:10000080-1704809700-1704809700@www.trr352.de
SUMMARY:Renormalization of the Bogoliubov Theory in the Nelson Model
DESCRIPTION:In this talk – based on a joint work with J. Lampart\, N. Leopold\, and D. Mitrouskas – I will talk about the mean field limit of the renormalized Nelson model\, in which a large number of bosonic particles is weakly coupled with a large number of coherent excitations of the scalar field. We prove quantitative bounds on the convergence both for reduced density matrices and in norm\, with the effective theory being the Schrödinger-Klein-Gordon system with Yukawa-type coupling. A crucial ingredient of the proof is the construction of a renormalized Bogoliubov evolution for the quantum fluctuations
URL:https://www.trr352.de/event/renormalization-of-the-bogoliubov-theory-in-the-nelson-model/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240119T150000
DTEND;TZID=Europe/Berlin:20240119T150000
DTSTAMP:20260504T220033
CREATED:20250706T231706Z
LAST-MODIFIED:20250706T231706Z
UID:10000078-1705676400-1705676400@www.trr352.de
SUMMARY:The probabilistic behavior of lacunary sums
DESCRIPTION:It is known through classical works of Kac\, Salem\, Zygmund\, Erdös and Gal that lacunary sums behave in several ways like sums of independent random variables\, satisfying\, for instance\, a central limit theorem or a law of the iterated logarithm. We present some recent results on their large deviation behavior\, which show that on this scale\, contrary to the scale of the CLT or the LIL\, the LDP is sensitive to the arithmetic properties of the underlying Hadamard gap sequence. If time allows\, we shall briefly discuss some recent results regarding moderate deviations and the optimality of Diophantine conditions in the law of the iterated logarithm for lacunary systems.
URL:https://www.trr352.de/event/the-probabilistic-behavior-of-lacunary-sums/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240119T150000
DTEND;TZID=Europe/Berlin:20240119T150000
DTSTAMP:20260504T220033
CREATED:20250706T231911Z
LAST-MODIFIED:20250706T231911Z
UID:10000079-1705676400-1705676400@www.trr352.de
SUMMARY:The polaron problem
DESCRIPTION:The Fröhlich polaron models a charged quantum particle interactiong with a polar cystal. Since the moving particle has to drag along a ‘cloud’ of polarization\, it appears heavier than it would be without the interaction. An old conjecture of Landau and Pekar states that this so-called effective mass scales as the fourth power of the coupling constant\, with a precisely predicted pre-factor. While the conjecture is now 75 years old\, only very recently significant progress has been made on the mathematical side. Part of it uses probabilistic methods\, and I will report mostly on these aspects: starting with a Feynman-Kac representation\, the task is to study the mean square displacement of a Brownian motion perturbed by an attractive pair interaction. This model and its connection to the polaron is known for a long time\, will be the starting point of my talk\, and can be understood without reference to the quantum model.\nI will then report on two different recent methods which allow to actually estimate the mean square displacement. This is based on joint work with Steffen Polzer (Geneva)\, Tobias Schmidt (Darmstadt) and Mark Sellke (Harvard).
URL:https://www.trr352.de/event/the-polaron-problem/
LOCATION:Room B 349\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240201T121500
DTEND;TZID=Europe/Berlin:20240201T121500
DTSTAMP:20260504T220033
CREATED:20250706T231523Z
LAST-MODIFIED:20250706T231523Z
UID:10000077-1706789700-1706789700@www.trr352.de
SUMMARY:A New Computational Approach for Bridging the Quantum-Classical Divide in Molecular Dynamics
DESCRIPTION:Although many-body quantum simulations have greatly benefited from high-perfor- mance computing facilities\, large molecular systems continue to pose formidable challenges. Mixed quantum-classical models\, such as Born-Oppenheimer molecular dynamics or Ehren- fest dynamics\, have been proposed to overcome the computational costs of fully quantum ap- proaches. However\, current mixed quantum-classical models typically suffer from long- standing consistency issues. In this talk\, we present a fully Hamiltonian theory of quantum- classical dynamics based on a geometric approach and Koopman wave functions. The resul- ting model appears to be the first to ensure a series of consistency properties\, beyond the posi- tivity of quantum and classical densities. We also exploit Lagrangian trajectories to formulate a finite-dimensional closure scheme for numerical implementations\, the “Koopmon method”. Numerical experiments demonstrate that the Koopmon method is able to capture effects beyond Ehrenfest dynamics in both the classical and the quantum sectors.
URL:https://www.trr352.de/event/a-new-computational-approach-for-bridging-the-quantum-classical-divide-in-molecular-dynamics/
LOCATION:Room 5608.02.011 (Seminarraum (M2/M3))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240226T190000
DTEND;TZID=Europe/Berlin:20240226T190000
DTSTAMP:20260504T220033
CREATED:20250706T231352Z
LAST-MODIFIED:20250904T103429Z
UID:10000076-1708974000-1708974000@www.trr352.de
SUMMARY:Correlation Decay for Finite Lattice Gauge Theories
DESCRIPTION:In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling\, we prove exponential decay of correlations for a wide class of gauge invariant functions\, which in particular includes arbitrary functions of Wilson loop observables. Based on joint work with Sky Cao.
URL:https://www.trr352.de/event/correlation-decay-for-finite-lattice-gauge-theories/
LOCATION:Room 5608.02.011 (Seminarraum (M2/M3))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240325T160000
DTEND;TZID=Europe/Berlin:20240325T160000
DTSTAMP:20260504T220033
CREATED:20250706T230839Z
LAST-MODIFIED:20250904T103414Z
UID:10000075-1711382400-1711382400@www.trr352.de
SUMMARY:On the microscopic foundations of the relativistic Vlasov-Maxwell equations
DESCRIPTION:The talk reviews the state of affairs in the mathematically rigorous foundations of the special-relativistic Vlasov-Maxwell equations. The progress is made possible by a recent formulation of a well-posed Lorentz co-variant initial value problem for the joint evolution of charged point particles and their electromagnetic Maxwell fields in a Bopp–Land ́e–Thomas–Podolsky (BLTP) vacuum.
URL:https://www.trr352.de/event/on-the-microscopic-foundations-of-the-relativistic-vlasov-maxwell-equations/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240418T163000
DTEND;TZID=Europe/Berlin:20240418T163000
DTSTAMP:20260504T220033
CREATED:20250706T230628Z
LAST-MODIFIED:20250706T230628Z
UID:10000074-1713457800-1713457800@www.trr352.de
SUMMARY:Aspects of constructive quantum field theory
DESCRIPTION:In this talk\, I will try to motivate the subject of constructive quantum field theory which was born in the 70’s as an attempt to give rigorous constructions of quantum field theory models on Minkowski space and also describe scaling limits of spin systems. We will focus on some examples which give a taste of the theory and then discuss recent advances and open problems.
URL:https://www.trr352.de/event/aspects-of-constructive-quantum-field-theory/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240503T140000
DTEND;TZID=Europe/Berlin:20240503T140000
DTSTAMP:20260504T220033
CREATED:20250706T230344Z
LAST-MODIFIED:20250706T230456Z
UID:10000073-1714744800-1714744800@www.trr352.de
SUMMARY:Estimation of group action via non-commutative Fourier transform with special functions
DESCRIPTION:In this seminar\, we will discuss the estimation of group action using the non-commutative Fourier transform. \nWe’ll explore an interesting relationship between the non-commutative Fourier transform and this estimation problem. \nNext\, we’ll optimize our estimation method by leveraging this connection under various conditions\, including energy constraints. \nFinally\, we’ll apply the obtained results to uncertainty relations related to compact groups. \nThroughout this discussion\, we’ll highlight the significance of several special functions in this topic.
URL:https://www.trr352.de/event/estimation-of-group-action-via-non-commutative-fourier-transform-with-special-functions/
LOCATION:Room HS3 (MI 00.06.011)\, Boltzmannstr. 3\, Garching Forschungszentrum\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240503T150000
DTEND;TZID=Europe/Berlin:20240503T150000
DTSTAMP:20260504T220033
CREATED:20250706T225950Z
LAST-MODIFIED:20250706T225950Z
UID:10000071-1714748400-1714748400@www.trr352.de
SUMMARY:Regularization by noise and approximations of singular kinetic SDEs
DESCRIPTION:Regularisation by noise in the context of stochastic differential equations (SDEs) with coefficients of low regularity\, known as singular SDEs\, refers to the beneficial effect produced by noise so that the singularity from the coefficients is smoothed out yielding well-behaved equations. Kinetic SDEs\, also sometimes called second order SDEs\, as one typical type of stochastic Hamiltonian systems\, describe the motion of a particle perturbed by some random external force. The difference of comparing it with usual SDEs is that the noise of the space position vanishes and only appears in the direction of velocity\, hence less noise gets involved in the system. In this talk we will discuss about the regularization effect by the degenerate noise for the singular kinetic SDEs from numerical approximation and also particles approximation view point.
URL:https://www.trr352.de/event/regularization-by-noise-and-approximations-of-singular-kinetic-sdes/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240503T150000
DTEND;TZID=Europe/Berlin:20240503T150000
DTSTAMP:20260504T220033
CREATED:20250706T230149Z
LAST-MODIFIED:20250706T230149Z
UID:10000072-1714748400-1714748400@www.trr352.de
SUMMARY:Robust construction of the high-dimensional incipient infinite cluster
DESCRIPTION:In Bernoulli percolation\, the incipient infinite cluster (IIC) is a version of the “open cluster of the origin at criticality conditioned to be infinite”. Since this event should have probability 0 on Zd\, the IIC is constructed via a limiting procedure. For d > 6\, several constructions have been given and shown to produce the same object\, but many natural limiting procedures remain unexplored. For instance\, it is an open question whether conditioning on {0 is connected to the boundary of [-n\, n]d} produces the IIC as n tends to infinity. We answer this question in the affirmative as a corollary of our theorem\, which roughly says “conditioning on any long open connection produces the IIC”\, and whose proof does not directly use lace expansion analysis.
URL:https://www.trr352.de/event/robust-construction-of-the-high-dimensional-incipient-infinite-cluster/
LOCATION:University of Augsburg\, Room 2004 (L1)\, Universitätsstraße 14\, Augsburg\, 86159
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240506T160000
DTEND;TZID=Europe/Berlin:20240506T160000
DTSTAMP:20260504T220033
CREATED:20250706T225819Z
LAST-MODIFIED:20250706T225819Z
UID:10000070-1715011200-1715011200@www.trr352.de
SUMMARY:Spectral theory for systems of ODEs with rough coefficients
DESCRIPTION:
URL:https://www.trr352.de/event/spectral-theory-for-systems-of-odes-with-rough-coefficients/
LOCATION:Room B 134\, Theresienstr. 39\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240516T160000
DTEND;TZID=Europe/Berlin:20240516T160000
DTSTAMP:20260504T220033
CREATED:20250706T225535Z
LAST-MODIFIED:20250904T103402Z
UID:10000069-1715875200-1715875200@www.trr352.de
SUMMARY:A duality method for mean-field limits with singular interactions
DESCRIPTION:We introduce a new approach to justify mean-field limits for first- and second-order particle systems with singular interactions. It is based on a duality approach combined with the analysis of linearized dual correlations\, and it allows to cover for the first time arbitrary square-integrable interaction forces at possibly vanishing temperature. This is joint work with D.Bresch and P.E.Jabin.
URL:https://www.trr352.de/event/a-duality-method-for-mean-field-limits-with-singular-interactions/
LOCATION:Seminar room C4H33\, An der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240604T161500
DTEND;TZID=Europe/Berlin:20240604T161500
DTSTAMP:20260504T220033
CREATED:20250706T225212Z
LAST-MODIFIED:20250706T225212Z
UID:10000068-1717517700-1717517700@www.trr352.de
SUMMARY:Analogue quantum simulation of open quantum systems with accuracy guarantees
DESCRIPTION:
URL:https://www.trr352.de/event/analogue-quantum-simulation-of-open-quantum-systems-with-accuracy-guarantees/
LOCATION:Room 5608.02.020 (Seminarraum (M11))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240610T120000
DTEND;TZID=Europe/Berlin:20240610T120000
DTSTAMP:20260504T220033
CREATED:20250706T225010Z
LAST-MODIFIED:20250706T225010Z
UID:10000067-1718020800-1718020800@www.trr352.de
SUMMARY:Reducing the overhead of quantum error correction
DESCRIPTION:Fault-tolerant protocols and quantum error correction (QEC) are essential to building reliable quantum computers from imperfect components that are vulnerable to errors. Optimizing the resource and time overheads needed to implement QEC is one of the most pressing challenges that will facilitate a transition from NISQ to the fault tolerance era. In this talk\, I will discuss two intriguing ideas that can significantly reduce these overheads. The first idea\, erasure qubits\, relies on an efficient conversion of the dominant noise into erasure errors at known locations\, greatly enhancing the performance of QEC protocols. The second idea\, single-shot QEC\, guarantees that even in the presence of measurement errors one can perform reliable QEC without repeating measurements\, incurring only constant time overhead.
URL:https://www.trr352.de/event/reducing-the-overhead-of-quantum-error-correction/
LOCATION:Room 5502.01.250 (Hörsaal)\, Boltzmannstr. 15\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240620T160000
DTEND;TZID=Europe/Berlin:20240620T160000
DTSTAMP:20260504T220033
CREATED:20250706T224204Z
LAST-MODIFIED:20250706T224204Z
UID:10000065-1718899200-1718899200@www.trr352.de
SUMMARY:On Lieb-Robinson bounds for long-range interacting bosons
DESCRIPTION:We prove a thermodynamically stable Lieb-Robinson bound (LRB) for bosons with long-range interaction on lattices. The condition is that the initial state admits (i) uniformly bounded density from above and (ii) no particle in the region separating the initial supports of the observables entering the LRB. Furthermore\, if the initial state has controlled density from both above and below\, then the validity threshold for decay rate of the hopping terms can be improved to $\alpha > d+ 2$. The proof is based on the weak LRBs and the thermodynamically stable bounds on particle transport obtained in recent joint works with Lemm\, Rubiliani\, and Sigal.
URL:https://www.trr352.de/event/on-lieb-robinson-bounds-for-long-range-interacting-bosons/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20240708T150000
DTEND;TZID=Europe/Berlin:20240708T150000
DTSTAMP:20260504T220033
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:20260504T220033
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:20260504T220033
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:20260504T220033
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:20260504T220033
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:20260504T220033
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241022T160000
DTEND;TZID=Europe/Berlin:20241022T160000
DTSTAMP:20260504T220033
CREATED:20250704T074401Z
LAST-MODIFIED:20250704T074401Z
UID:10000058-1729612800-1729612800@www.trr352.de
SUMMARY:DOS of Random Schrödinger Operators with negatively correlated Cauchy Distribution
DESCRIPTION:We study the generalised Lloyd model\, that is\, a random Schrödinger operator on the lattice Zd of the form H = −∆ + λV\, λ > 0\, with Vi = ∑j Tij Wj where Wj ∼ Cauchy(0\, 1) are iid random variables. If all coeffi- cients Tij are non-negative one can find an exact formula for the density of states (DOS) with the help of supersymmetry (SUSY). However\, the case of negative coefficients remains largely unexplored. To illustrate the complexities involved\, we study a simple model where only two lattice sites are negatively correlated. This model was already considered in a recent work of Disertori and Lager (MPAG2020)\, but here we develop a novel approach based on the regularisation of the distribu- tion of V . We derive the leading order expression for the DOS and recover the asymptote for the correction as the correlation strength is sent to zero. Finally\, I present my progress in extending these results to a model of infinitely many pairs of negative correlation which are well separated and placed periodically in Zd.
URL:https://www.trr352.de/event/dos-of-random-schrodinger-operators-with-negatively-correlated-cauchy-distribution/
LOCATION:Room 5608.03.011 (Seminarraum (M1/M7))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241105T161500
DTEND;TZID=Europe/Berlin:20241105T161500
DTSTAMP:20260504T220033
CREATED:20250704T074153Z
LAST-MODIFIED:20250704T074153Z
UID:10000057-1730823300-1730823300@www.trr352.de
SUMMARY:Quantum Walks: Their basic properties and dynamical localization
DESCRIPTION:Quantum walks (QWs) can be viewed as quantum analogs of classical random walks. Mathematically\, a QW is described as a unitary\, local operator acting on a grid and can be written as a product of shift and coin operators. We highlight differences to classical random walks and stress their connection to quantum algorithms (see Grover’s algorithm). If the QW is assumed to be translation invariant\, applying the Fourier transform yields a multiplication operator\, whose bandstructure we briefly study. After equipping the underlying lattice with random phases\, we turn to dynamical localization. This means that the probability to move from one lattice site to another decreases on average exponentially in the distance\, independently of how many steps the QW may take. We sketch the proof of dynamical localization on the hexagonal lattice in the regime of strong disorder\, which uses a finite volume method.
URL:https://www.trr352.de/event/quantum-walks-their-basic-properties-and-dynamical-localization/
LOCATION:Room 5608.03.011 (Seminarraum (M1/M7))\, Boltzmannstr. 3\, Garching b. München\, 85748\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241105T180000
DTEND;TZID=Europe/Berlin:20241105T180000
DTSTAMP:20260504T220033
CREATED:20250704T073809Z
LAST-MODIFIED:20250704T073809Z
UID:10000056-1730829600-1730829600@www.trr352.de
SUMMARY:Weyl asymptotics for Lipschitz domains
DESCRIPTION:
URL:https://www.trr352.de/event/weyl-asymptotics-for-lipschitz-domains/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241107T160000
DTEND;TZID=Europe/Berlin:20241107T160000
DTSTAMP:20260504T220033
CREATED:20250704T073450Z
LAST-MODIFIED:20250904T103351Z
UID:10000055-1730995200-1730995200@www.trr352.de
SUMMARY:How to represent a function in a quantum computer
DESCRIPTION:Quantum Signal Processing (QSP) is an algorithmic process by which one represents a signal $f: [0\,1] \to (-1\,1)$ as the upper left entry of a product of $SU(2)$ matrices parametrized by the input variable $x \in [0\,1]$ and some ”phase factors” $\{\psi_k\}_{k \geq 0}$ depending on $f$. We show that\, after a change of variables\, QSP is actually the SU(2)-valued nonlinear Fourier transform\, and the phase factors $\{\psi_k\}_k$ correspond to the nonlinear Fourier coefficients. By exploiting a nonlinear Plancherel identity and using some basic spectral theory\, we then show that a QSP representation exists for every $f$ satisfying the log integrability condition \[ \int\limits_{0} ^1 \log (1-f(x)^2) \frac{dx}{\sqrt{1-x^2}} > – \infty \\, . \]
URL:https://www.trr352.de/event/how-to-represent-a-function-in-a-quantum-computer/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241113T180000
DTEND;TZID=Europe/Berlin:20241113T180000
DTSTAMP:20260504T220033
CREATED:20250704T072901Z
LAST-MODIFIED:20250704T072901Z
UID:10000054-1731520800-1731520800@www.trr352.de
SUMMARY:Lagrange\, Euler\, Hooke\, and Cauchy
DESCRIPTION:
URL:https://www.trr352.de/event/lagrange-euler-hooke-and-cauchy/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241113T190000
DTEND;TZID=Europe/Berlin:20241113T190000
DTSTAMP:20260504T220033
CREATED:20250704T072528Z
LAST-MODIFIED:20250704T072528Z
UID:10000053-1731524400-1731524400@www.trr352.de
SUMMARY:Around Segal Axioms for QFT: construction and interpretations
DESCRIPTION:
URL:https://www.trr352.de/event/around-segal-axioms-for-qft-construction-and-interpretations/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Talks
ORGANIZER;CN="Jiasheng Lin":MAILTO:jiasheng.lin@imj-prg.fr
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Berlin:20241128T160000
DTEND;TZID=Europe/Berlin:20241128T160000
DTSTAMP:20260504T220033
CREATED:20250704T071829Z
LAST-MODIFIED:20250829T134650Z
UID:10000052-1732809600-1732809600@www.trr352.de
SUMMARY:Semi-classical limit in Quantum mechanics: Dynamics and Beyond
DESCRIPTION:
URL:https://www.trr352.de/event/semi-classical-limit-in-quantum-mechanics-dynamics-and-beyond/
LOCATION:Room C3N14\, Auf der Morgenstelle 10\, Tübingen\, 72076\, Germany
CATEGORIES:Talks
END:VEVENT
END:VCALENDAR