Upcoming Events
- Monday, 19.05.2025, 10:00 (WIAS-405-406)
- Seminar Interacting Random Systems
Peter Gracar, University of Leeds:
Lipschitz cutset for fractal graphs and applications to the spread of infections
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
For Bernoulli supercritical percolation on the d-dimensional lattice it is well understood that the infinite component exists “everywhere”. In fact, it can be shown that this component contains as a subset a Lipschitz connected hyper-surface that can be built along any of the d-1 possible canonical hyperplanes of ℤ d. In this talk, we will explain how one can construct a set satisfying similar properties on the Sierpinski gasket and then show how a multi-scale construction can be used to get its existence even for particle dependent percolation. More precisely, we will consider the fractal Sierpinski gasket or carpet graph in dimension d≥ 2, denoted by G. At time 0, we place a Poisson point process of particles onto the graph and let them perform independent simple random walks, which in this setting exhibit sub-diffusive behaviour. We will generalise the concept of particle process dependent Lipschitz percolation to the (coarse graining of the) space-time graph G × ℝ, where the opened/closed state of space-time cells is measurable with respect to the particle process inside the cell. We will discuss an application of this generalised framework through the following: if particles can spread an infection when they share a site of G, and if they recover independently at some rate γ>0, then if γ is sufficiently small, the infection started with a single infected particle survives indefinitely with positive probability.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
- Tuesday, 20.05.2025, 10:15 (WIAS-406)
- Seminar Nichtlineare Optimierung und Inverse Probleme
Robert Sauerborn, Technische Universität Clausthal:
Dissipative solution concepts and their application to error bounds for the Euler equations
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)
Host
WIAS Berlin
- Tuesday, 20.05.2025, 14:00 (WIAS-Library)
- Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Max Fröhlich, WIAS Berlin:
Quantum circuit simulation with a localized dynamic time-dependent variational principle
more ... Location
Weierstraß-Institut, Hausvogteiplatz 5-7, 10117 Berlin, R411
Abstract
We introduce a novel tensor network simulation method for quantum circuits that addresses key limitations inherent in the widely used time-evolving block decimation algorithm (TEBD). TEBD suffers from truncation errors during many-body dynamics and, more critically, faces challenges in simulating long-range gates?requiring additional SWAP gate decompositions that further induce truncation errors and computational overhead. By representing quantum states in the matrix product state (MPS) format and evolving them via a locally adaptive time-dependent variational principle (TDVP), our approach rigorously projects the generator of each quantum gate onto the tangent space of the MPS manifold. This allows for dynamic adjustment of bond dimensions, accurately capturing entanglement growth while efficiently simulating long-range gates directly, without resorting to SWAP gates. Benchmarking against conventional TEBD simulations demonstrates that our local TDVP simulation scheme achieves improved numerical stability, lower bond dimensions with at least the fidelity of TEBD, paving the way for more reliable large-scale quantum circuit simulations.
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
- Wednesday, 21.05.2025, 10:00 (WIAS-HVP-3.13)
- Forschungsseminar Mathematische Statistik
Prof. Dr. Yi Yu, University of Warwick, GB:
Contextual dynamic pricing: Algorithms, optimality and local differential privacy constraints
more ... Location
Weierstraß-Institut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
We study contextual dynamic pricing problems where a firm sells products to $T$ sequentially-arriving consumers, behaving according to an unknown demand model. The firm aims to minimize its regret over a clairvoyant that knows the model in advance. The demand follows a generalized linear model (GLM), allowing for stochastic feature vectors in $mathbb R^d$ encoding product and consumer information. We first show the optimal regret is of order $sqrtdT$, up to logarithmic factors, improving existing upper bounds by a $sqrtd$ factor. This optimal rate is materialized by two algorithms: an explore-then-commit (ETC) algorithm and a confidence bound-type algorithm. A key insight is an intrinsic connection between dynamic pricing and contextual multi-armed bandit problems with many arms with a careful discretization. We further extend our study to adversarial contexts and propose algorithms that are statistically and computationally more efficient than existing methods in the literature. We further study contextual dynamic pricing under local differential privacy (LDP) constraints. We propose a stochastic gradient descent-based ETC algorithm achieving regret upper bounds of order $dsqrtT/epsilon$, up to logarithmic factors, where $epsilon>0$ is the privacy parameter. The upper bounds with and without LDP constraints are matched by newly constructed minimax lower bounds, characterizing costs of privacy. Moreover, we extend our study to dynamic pricing under mixed privacy constraints, improving the privacy-utility tradeoff by leveraging public data. This is the first time such setting is studied in the dynamic pricing literature and our theoretical results seamlessly bridge dynamic pricing with and without LDP. Extensive numerical experiments and real data applications are conducted to illustrate the efficiency and practical value of our algorithms.
Further Informations
Dieser Vortrag findet hybrid statt. Die Teilnahme per Zoom ist über den (neuen!) Link: https://hu-berlin.zoom-x.de/j/62476510180?pwd=1bws9DORlDM2Iub3ANrb7zzDNANvsJ.1
Host
Humboldt-Universität zu Berlin
Universität Potsdam
WIAS Berlin
- Wednesday, 21.05.2025, 11:30 (WIAS-405-406)
- Seminar Interacting Random Systems
Adrian Röllin, National University of Singapore:
Centered Subgraph Counts in Dense Random Graphs
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Complex networks appear in many fields, from social media to biology, and understanding their structure often boils down to studying how frequently small subgraphs (such as triangles or squares) appear. In this talk, I will introduce the idea of centered subgraph counts: a way of measuring subgraph occurrences that corrects for the dependence that we observe among regular subgraph counts. By focusing on these centered counts, we can describe and quantify the natural 'fluctuations' in dense random networks via tools first developed by Janson and Nowicki in the study of generalised U-statistics in the 90s. I will explain how these theoretical results lead to practical methods for assessing how well a given network fits a chosen statistical model--often referred to as a goodness-of-fit analysis.
Further Informations
Seminar Interactin Random Systems
Host
WIAS Berlin
- Thursday, 22.05.2025, 10:00 (WIAS-Library)
- Berlin Oberseminar: Optimization, Control and Inverse Problems
Prof. Michael Hinze, Universität Koblenz:
Shape optimization with Lipschitz methods (joint work with Klaus Deckelnick (Magdeburg) and Philip Herbert (Sussex))
more ... Location
Weierstraß-Institut, Hausvogteiplatz 5-7, 10117 Berlin, R411
Abstract
We present a general shape optimisation framework based on the method of mappings in the Lipschitz topology. We propose and numerically analyse steepest descent and Newton-like minimisation algorithms for the numerical solution of the respective shape optimisation problems. To illustrate our approach we present a selection of PDE constrained shape optimisation problems and compare our findings to results from so far classical Hilbert space methods and recent p-approximations.
Further Informations
Berlin Oberseminar: Optimization, Control and Inverse Problems
Host
WIAS Berlin
- Thursday, 22.05.2025, 14:00 (WIAS-ESH)
- Seminar Materialmodellierung
Prof. Ram Band, Mathematics Department, Technion Israel Institute of Technology:
Universality of the band-gap density - From periodic graphs to laminates
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Abstract
The spectrum of periodic objects has a band-gap structure. We show that such a spectrum can be described in terms of a linear flow on a torus. This characterization is valid for various periodic structures, from quantum graphs to wave propagation in elastic laminates. Using this approach allows us to prove universal properties of the band-gap density and obtain many useful spectral characteristics.
Host
WIAS Berlin
- Thursday, 22.05.2025, 15:30 (WIAS-405-406)
- Seminar Numerische Mathematik
Dr. Holger Stephan:
Improvement of the diffusion equation using hyperbolic systems and memory equations
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
The diffusion equation is the simplest equation to describe the motion of a particle in a random medium. It is the 0th moment (mass balance) of the more exact kinetic equation (Kramers equation). Higher momentum approximations such as the 1st momentum (momentum balance) and the 2nd momentum (energy balance) are also common. Moment approximations must be closed. We calculate the optimal approximations for various higher moment systems for the case of no external potential. This leads to hyperbolic systems which, as is well known, are difficult to solve numerically. However, systems of diffusion equations with memory terms can be derived from them without loss of information. These can also be converted into common systems of diffusion equations also without loss of information using a recently developed method, which can be solved numerically very well. The result is a much more precise description of the diffusion process.
Host
WIAS Berlin
- Tuesday, 27.05.2025, 15:00 (WIAS-ESH)
- Forschungsseminar Mathematische Modelle der Photonik
Prof. Dmitry Turaev, Imperial College London, GB:
TBA
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Further Informations
Forschungsseminar Mathematische Modelle der Photonik
Host
WIAS Berlin
- Wednesday, 04.06.2025, 11:30 (WIAS-405-406)
- Seminar Interacting Random Systems
Elena Pulvirenti, Delft University of Technology:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
- Thursday, 05.06.2025, 14:00 (WIAS-405-406)
- Seminar Numerische Mathematik
Adrian Hill, TU Berlin:
SparseConnectivityTracer.jl
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
- Wednesday, 11.06.2025, 11:30 (WIAS-405-406)
- Seminar Interacting Random Systems
Michiel Renger, Technische Universität München:
tba
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
- June 16 – 18, 2025 (WIAS-ESH)
- Workshop/Konferenz: Nonlinear Dynamics in Semiconductor Lasers 2025
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Host
WIAS Berlin
- June 23 – 26, 2025 (Harnack-Haus)
- Workshop/Konferenz: 4th Annual Conference of SPP 2265 Random Geometric Systems 2025
more ... Location
Harnack-Haus -- Tagungsstätte der Max-Planck-Gesellschaft
Host
WIAS Berlin
- Wednesday, 09.07.2025, 14:15 (WIAS-ESH)
- Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Prof. Dr. Amru Hussein, Universität Kassel:
The three limits of the hydrostatic approximation
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Abstract
The primitive equations are a large scale model for ocean and atmosphere. Formally, they are derived from the 3D-Navier--Stokes equations by the assumption of a hydrostatic balance. This can be formalized by a rescaling procedure on an $varepsilon$-thin domain where one considers anisotropic viscosities with vertical viscosity $varepsilon^gamma$ and $varepsilon$-independent horizontal viscosity. Now, the choice of the order $gamma$ leads to different limit equations:
For $gamma=2$, one obtains the primitive equations with full viscosity term $-Delta$;
For $gamma>2$, one obtains the primitive equations with only horizontal viscosity term $- Delta_H$;
For $gamma <2$, one obtains the 2D Navier-Stokes equations.
Thus, there are three possible limits of the hydrostatic approximation depending on the assumption on the vertical viscosity. Here, we show how maximal regularity methods and quadratic inequalities - reminiscent of the Fujita-Kato methods - can be an efficient approach to prove norm-convergences in all three cases. This is a joint work with Ken Furukawa, Yoshikazu Giga, Matthias Hieber, Takahito Kashiwabara, and Marc Wrona, see https://arxiv.org/abs/2312.03418 for a preprint.
Further Informations
Oberseminar “Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Host
Humboldt-Universität zu Berlin
WIAS Berlin
- September 29 – October 1, 2025 (WIAS-ESH)
- Workshop/Konferenz: Mathematical Analysis of Fluid Flows by Variational Methods
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Host
Freie Universität Berlin
Universität Leipzig
WIAS Berlin
- October 15 – 17, 2025 (WIAS-ESH)
- Workshop/Konferenz: Recent Developments in Spatial Interacting Random Systems
more ... Location
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal
Host
WIAS Berlin
- November 3 – 7, 2025 (WIAS-Library)
- Workshop/Konferenz:
more ... Location
Weierstraß-Institut, Hausvogteiplatz 5-7, 10117 Berlin, R411
Abstract
The ARISE project (Analysis of Robust Numerical Solvers for Innovative Semiconductors in View of Energy Transition) brings together the RAPSODI team at Inria Lille and the NUMSEMIC team at WIAS Berlin. It focuses on developing advanced mathematical and numerical models for drift-diffusion models for charge transport with mobile ions, with applications for novel semiconductor devices such as perovskite solar cells and memristors, as well as ionic solutions or corrosion phenomena.
Host
WIAS Berlin