• 2242 - Arbeitsgemeinschaft: Quantitative Stochastic Homogenization 

      [OWR-2022-48] Workshop Report 2022,48 (2022) - (16 Oct - 22 Oct 2022)
      Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic ...
    • 2217 - Combinatorics, Probability and Computing 

      [OWR-2022-22] Workshop Report 2022,22 (2022) - (24 Apr - 30 Apr 2022)
      The main theme of this workshop was the use of probabilistic methods in combinatorics and theoretical computer science. This area is evolving extremely quickly, with the introduction of powerful new methods and the development ...
    • 2208 - Data Assimilation - Mathematical Foundation and Applications 

      [OWR-2022-10] Workshop Report 2022,10 (2022) - (20 Feb - 26 Feb 2022)
      The field of "Data Assimilation'' has been driven by applications from the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data ...
    • 2207b - Descriptive Combinatorics, LOCAL Algorithms and Random Processes 

      [OWR-2022-8] Workshop Report 2022,8 (2022) - (13 Feb - 19 Feb 2022)
      The aim of this mini-workshop was to discover and deepen connections between the fields of descriptive combinatorics, distributed computing and random processes. The common link is played by the so-called local coloring ...
    • 2221 - Deterministic Dynamics and Randomness in PDE 

      [OWR-2022-26] Workshop Report 2022,26 (2022) - (22 May - 28 May 2022)
      Over the last few years there has been spectacular progress in the study of parabolic SPDE, of nonlinear dispersive and wave equations and of probabilistic methods in PDE. An important direction connecting these three ...
    • 2250 - Enumerative Combinatorics 

      [OWR-2022-57] Workshop Report 2022,57 (2022) - (11 Dec - 17 Dec 2022)
      Enumerative Combinatorics focuses on the exact and asymptotic counting of combinatorial objects. It has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, probability ...
    • 2203 - Groups and Dynamics: Topology, Measure, and Borel Structure 

      [OWR-2022-3] Workshop Report 2022,3 (2022) - (16 Jan - 22 Jan 2022)
      While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between ...
    • 2244 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2022-49] Workshop Report 2022,49 (2022) - (30 Oct - 05 Nov 2022)
      The workshop provided a forum for recent progress on a wide array of topics at the nexus of Analysis (elliptic, subelliptic and parabolic differential equations), Geometry (Riemannian and sub-Riemannian geometries, metric ...
    • 2237 - Large Scale Stochastic Dynamics 

      [OWR-2022-41] Workshop Report 2022,41 (2022) - (11 Sep - 17 Sep 2022)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. The ...
    • 2246 - Mathematical Advances in Geophysical Fluid Dynamics 

      [OWR-2022-51] Workshop Report 2022,51 (2022) - (13 Nov - 19 Nov 2022)
      The workshop "Mathematical Advances in Geophysical Fluid Dynamics" addressed recent advances in modeling, analytical, computational and stochastical studies of geophysical flows. Of particular interest were contributions ...
    • 2212a - MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 

      [OWR-2022-15] Workshop Report 2022,15 (2022) - (20 Mar - 26 Mar 2022)
      The central theme of the workshop were nonlocal operators which appear in various branches of mathematics (PDEs, fractional calculus, stochastic processes, statistics). Although the basic concepts are similar, both language ...
    • 2248b - Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit 

      [OWR-2022-53] Workshop Report 2022,53 (2022) - (27 Nov - 03 Dec 2022)
      In many situations, most prominently in quantum mechanics, it is important to understand well the eigenvalues and associated eigenfunctions of certain self-adjoint differential operators. The goal of this workshop was ...
    • 2210 - Population Dynamics and Statistical Physics in Synergy 

      [OWR-2022-12] Workshop Report 2022,12 (2022) - (06 Mar - 12 Mar 2022)
      Research at the interface between population dynamics and statistical physics has been developing rapidly, and represents a theme of growing interest worldwide. Population dynamics addresses fundamental questions about the ...
    • 2207c - Regularization by Noise: Theoretical Foundations, Numerical Methods and Applications 

      [OWR-2022-9] Workshop Report 2022,9 (2022) - (13 Feb - 19 Feb 2022)
      The regularizing effects of noisy perturbations of differential equations is a central subject of stochastic analysis. Recent breakthroughs initiated a new wave of interest, particularly concerning non-Markovian, infinite ...
    • 2222 - Universality: Random Matrices, Random Geometry and SPDEs 

      [OWR-2022-27] Workshop Report 2022,27 (2022) - (29 May - 04 Jun 2022)
      The postulate that large random systems can be described by limiting objects whose characteristic do not depend on the exact details of the models one started from is central in probability theory, under the name of ...