Browsing by MFO Scientific Program "OWRF 2024"
Now showing items 1-10 of 10
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The Congruence Properties of Romik’s Sequence of Taylor Coefficients of Jacobi’s Theta Function $θ_3$
[OWP-2024-12] (Mathematisches Forschungsinstitut Oberwolfach, 2024-11-29)In [Ramanujan J. 52 (2020), 275-290], Romik considered the Taylor expansion of Jacobi's theta function $\theta_3(q)$ at $q=e^{-\pi}$ and encoded it in an integer sequence $(d(n))_{n\ge0}$ for which he provided a recursive ... -
Diameter and Connectivity of Finite Simple Graphs II
[OWP-2024-09] (Mathematisches Forschungsinstitut Oberwolfach, 2024-09-05)Let $G$ be a finite simple non-complete connected graph on $[n] = \{1, \ldots, n\}$ and $\kappa(G) \geq 1$ its vertex connectivity. Let $f(G)$ denote the number of free vertices of $G$ and $\mathrm{diam}(G)$ the diameter ... -
Domain-Scaled Regular Variation: Mathematical Foundations for a New Tail Process
[OWP-2025-02] (Mathematisches Forschungsinstitut Oberwolfach, 2025-02)Threshold exceedances of stochastic processes in space and time often appear to be more localized the more extreme they are. While classical regularly varying stochastic processes cannot model this effect, we introduce an ... -
Generalized Bose-Einstein Condensation in the Kac-Luttinger Model
[OWP-2025-06] (Mathematisches Forschungsinstitut Oberwolfach, 2025-07)In this article, we prove generalized Bose–Einstein condensation (BEC) at zero temperature in the random Kac–Luttinger model for repulsive two-particle interactions that are scaled suitably in the limit of large volume. ... -
Ky Fan Theorem for Sphere Bundles
[OWP-2024-03] (Mathematisches Forschungsinstitut Oberwolfach, 2024-04-05)The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker’s lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings ... -
Local Existence and Conditional Regularity for the Navier-Stokes-Fourier System Driven by Inhomogeneous Boundary Conditions
[OWP-2024-10] (Mathematisches Forschungsinstitut Oberwolfach, 2024-09-25)We consider the Navier–Stokes–Fourier system with general inhomogeneous Dirichlet–Neumann boundary conditions. We propose a new approach to the local well-posedness problem based on conditional regularity estimates. By ... -
On Angular Momentum Algebras and their Relations
[OWP-2025-08] (Mathematisches Forschungsinstitut Oberwolfach, 2025-08)In this paper, we study the centraliser of $\mathfrak{osp}(1|2)$, denoted the total angular momentum algebra (TAMA), in the Weyl Clifford algebra. The TAMA extends the angular momentum algebra (AMA), which arises as the ... -
Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products
[OWP-2025-10] (Mathematisches Forschungsinstitut Oberwolfach, 2025-09)We revisit the structure of the normalizer $N_W(P)$ of a parabolic subgroup $P$ in a finite Coxeter group $W$, originally described by Howlett. Building on Howlett's Lemma, which provides canonical complements for reflection ... -
The $q$-Deformed Random-to-Random Family in the Hecke Algebra
[OWP-2025-12] (Mathematisches Forschungsinstitut Oberwolfach, 2025-11)We generalize Reiner-Saliola-Welker's well-known but mysterious family of $k$-random-to-random shuffles from Markov chains on symmetric groups to Markov chains on the Type-$A$ Iwahori-Hecke algebras. We prove that the ... -
Quadratically Enriched Plane Curve Counting via Tropical Geometry
[OWP-2025-03] (Mathematisches Forschungsinstitut Oberwolfach, 2025-02)We prove that the quadratically enriched count of rational curves in a smooth toric del Pezzo surface passing through $k$-rational points and pairs of conjugate points in quadratic field extensions $k\subset k(\sqrt{d_i})$ ...