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    • 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 ...