Now showing items 13-20 of 20

• #### The Pelletier-Ressayre Hidden Symmetry for Littlewood-Richardson Coefficients ﻿

[OWP-2020-18] (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-08)
We prove an identity for Littlewood–Richardson coefficients conjectured by Pelletier and Ressayre. The proof relies on a novel birational involution defined over any semifield.
• #### Positive Line Bundles Over the Irreducible Quantum Flag Manifolds ﻿

[OWP-2020-01] (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-03)
Noncommutative Kähler structures were recently introduced by the third author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a ...
• #### Rational Functions with Small Value Set ﻿

[OWP-2020-05] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-14)
In connection with Galois Theory and Algebraic Curves, this paper investigates rational functions $h(x) = f(x)/g(x) \in \mathbb{F}_q(x)$ for which the value set $V_h = {\{h(α) | α \in \mathbb{F}_q \cup\{\infty\}}\}$ is ...
• #### Singularities and Bifurcations of Pseudospherical Surfaces ﻿

[OWP-2020-08] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-17)
We study singularities and bifurcations of constant negative curvature surfaces in Euclidean 3-space via their association with Lorentzian harmonic maps. This preprint presents the basic results on this, the full proofs ...
• #### Space-Time Euler Discretization Schemes for the Stochastic 2D Navier-Stokes Equations ﻿

[OWP-2020-12] (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-06)
We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$, and describe the ...
• #### Splitting Necklaces, with Constraints ﻿

[OWP-2020-03] (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-11)
We prove several versions of Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without ...
• #### Theoretical Analysis and Simulation Methods for Hawkes Processes and their Diffusion Approximation ﻿

[OWP-2020-09] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-30)
Oscillatory systems of interacting Hawkes processes with Erlang memory kernels were introduced in Ditlevsen and Löcherbach (2017). They are piecewise deterministic Markov processes (PDMP) and can be approximated by a ...
• #### Unexpected Properties of the Klein Configuration of 60 Points in $\mathbb{P}^3$ ﻿

[OWP-2020-19] (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)
Felix Klein in course of his study of the regular and its symmetries encountered a highly symmetric configuration of 60 points in $\mathbb{P}^3$. This configuration has appeared in various guises, perhaps post notably as ...
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