• The Congruence Properties of Romik’s Sequence of Taylor Coefficients of Jacobi’s Theta Function $θ_3$ 

      [OWP-2024-12] Krattenthaler, Christian; Müller, Thomas W. (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] Hibi, Takayuki; Saeedi Madani, Sara (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 ...
    • Ky Fan Theorem for Sphere Bundles 

      [OWP-2024-03] Panina, Gaiane; Živaljević, Rade (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] Abbatiello, Anna; Basarić, Danica; Chaudhuri, Nilasis; Feireisl, Eduard (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 ...