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    • 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 ...
    • On the Halpern Method with Adaptive Anchoring Parameters 

      [OWP-2024-11] Pinto, Pedro; Pischke, Nicholas (Mathematisches Forschungsinstitut Oberwolfach, 2024-10-21)
      We establish the convergence of a speed-up version of the Halpern iteration with adaptive anchoring parameters in the general geodesic setting of Hadamard spaces, generalizing a recent result by He, Xu, Dong and Mei from ...
    • 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 ...
    • 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 ...
    • The Subgroup Structure of Pseudo-Reductive Groups 

      [OWP-2024-08] Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Sercombe, Damian (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-31)
      Let $k$ be a field. We investigate the relationship between subgroups of a pseudo-reductive $k$-group $G$ and its maximal reductive quotient $G'$, with applications to the subgroup structure of $G$. Let $k'/k$ be the minimal ...
    • The Alternating Halpern-Mann Iteration for Families of Maps 

      [OWP-2024-07] Firmino, Paulo; Pinto, Pedro (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-15)
      We generalize the alternating Halpern-Mann iteration to countably infinite families of nonexpansive maps and prove its strong convergence towards a common fixed point in the general nonlinear setting of Hadamard spaces. ...
    • Proof Mining and the Convex Feasibility Problem : the Curious Case of Dykstra's Algorithm 

      [OWP-2024-06] Pinto, Pedro (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-15)
      In a recent proof mining application, the proof-theoretical analysis of Dykstra's cyclic projections algorithm resulted in quantitative information expressed via primitive recursive functionals in the sense of Gödel. This ...
    • On Overgroups of Distinguished Unipotent Elements in Reductive Groups and Finite Groups of Lie Type 

      [OWP-2024-05] Bate, Michael; Böhm, Sören; Martin, Benjamin; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2024-06-18)
      Suppose G is a simple algebraic group defined over an algebraically closed field of good characteristic p. In 2018 Korhonen showed that if H is a connected reductive subgroup of G which contains a distinguished unipotent ...
    • On Dykstra’s Algorithm with Bregman Projections 

      [OWP-2024-04] Pinto, Pedro; Pischke, Nicholas (Mathematisches Forschungsinstitut Oberwolfach, 2024-04-16)
      We provide quantitative results on the asymptotic behavior of Dykstra’s algorithm with Bregman projections, a combination of the well-known Dykstra’s algorithm and the method of cyclic Bregman projections, designed to find ...
    • 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 ...
    • A Gentle Introduction to Interpolation on the Grassmann Manifold 

      [OWP-2024-02] Ciaramella, Gabriele; Gander, Martin J.; Vanzan, Tommaso (Mathematisches Forschungsinstitut Oberwolfach, 2024-01-10)
    • Arm Exponent for the Gaussian Free Field on Metric Graphs in Intermediate Dimensions 

      [OWP-2024-01] Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François (Mathematisches Forschungsinstitut Oberwolfach, 2024-01-08)
      We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume that balls in ${G}$ have polynomial volume ...