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On the Halpern Method with Adaptive Anchoring Parameters
[OWP-2024-11] (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] (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] (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] (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] (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] (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] (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] (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] (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] (Mathematisches Forschungsinstitut Oberwolfach, 2024-01-10) -
Arm Exponent for the Gaussian Free Field on Metric Graphs in Intermediate Dimensions
[OWP-2024-01] (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 ...
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