Browsing 2020 by Title
Now showing items 13-22 of 22
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Octonion Polynomials with Values in a Subalgebra
[OWP-2020-21] (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-22)In this paper, we prove that given an octonion algebra A over a field F, a subring E⊆F and an octonion E-algebra R inside A, the set S of polynomials f(x)∈A[x] satisfying f(R)⊆R ... -
On Weakly Complete Universal Enveloping Algebras of pro-Lie Algebras
[OWP-2020-10] (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-27) -
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)∈Fq(x) for which the value set Vh={h(α)|α∈Fq∪{∞}} 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 L2(Ω), 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 P3
[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 P3. This configuration has appeared in various guises, perhaps post notably as ...