Analysis and Geometry on Graphs and Manifolds

ISBN-13: 9781108713184 / Angielski / Miękka / 2020 / 492 str.

Germany) Matthias Keller (Universität Potsdam; Germany) Daniel Lenz (Universität Potsdam;Radoslaw K. Wojciechowski

Opis

This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.

Spis treści

1. Infinite planar graphs with nonnegative combinatorial curvature Bobo Hua and Yanhui Su; 2. Curvature calculations for antitrees David Cushing, Shiping Liu, Florentin Munch and Norbert Peyerimho; 3. Gromov-Lawson tunnels with estimates Józef Dodziuk; 4. Norm convergence of the resolvent for wild perturbations Colette Anné and Olaf Post; 5. Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications Peter Stollmann and Christian Rose; 6. Multiple boundary representations of λ – harmonic functions on trees Massimo A. Picardello and Wolfgang Woess; 7. Internal DLA on Sierpinski gasket graphs Joe P. Chen, Wilfried Huss, Ecaterina Sava-Huss and Alexander Teplyaev; 8. Universal lower bounds for Laplacians on weighted graphs Daniel Lenz and Peter Stollmann 9. On Hardy inequalities on graphs and manifolds Matthias Keller, Yehuda Pinchover and Felix Pogorzelski; 10. Neumann domains on manifolds and graphs Lior Alon, Michael Bersudsky, Sebastian Egger and Rami Band; 11. On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schrödinger operators Marcel Schmidt; 12. Box spaces: geometry of finite quotients Ana Khukhro and Alain Valette; 13. Ramanujan graphs and digraphs Ori Parzanchevski; 14. From partial differential equations to groups Andrzej Żuk; 15. Spectral properties of limit-periodic operators David Damanik and Jake Fillman; 16. Uniform existence of the IDS on lattices and groups Christoph Schumacher, Fabian Schwarzenberger and Ivan Veselic.