A Note on Cheeger Inequalities for Piecewise Flat Surfaces

Any geometric triangulation of a compact surface with a flat cone metric induces a weighted graph structure and the associated discrete Laplacian is called cotangent Laplacian. In this note, we introduce some geometric quantities, so-called the Cheeger co

  • PDF / 7,263,771 Bytes
  • 370 Pages / 439.43 x 683.15 pts Page_size
  • 32 Downloads / 219 Views

DOWNLOAD

REPORT


Fatihcan M. Atay Pavel B. Kurasov Delio Mugnolo Editors

Discrete and Continuous Models in the Theory of Networks

Operator Theory: Advances and Applications Volume 281 Founded in 1979 by Israel Gohberg

Editors: Joseph A. Ball (Blacksburg, VA, USA) Albrecht Böttcher (Chemnitz, Germany) Harry Dym (Rehovot, Israel) Heinz Langer (Wien, Austria) Christiane Tretter (Bern, Switzerland) Associate Editors: Vadim Adamyan (Odessa, Ukraine) Wolfgang Arendt (Ulm, Germany) B. Malcolm Brown (Cardiff, UK) Raul Curto (Iowa, IA, USA) Kenneth R. Davidson (Waterloo, ON, Canada) Fritz Gesztesy (Waco, TX, USA) Pavel Kurasov (Stockholm, Sweden) Vern Paulsen (Houston, TX, USA) Mihai Putinar (Santa Barbara, CA, USA) Ilya Spitkovsky (Abu Dhabi, UAE)

Honorary and Advisory Editorial Board: Lewis A. Coburn (Buffalo, NY, USA) Ciprian Foias (College Station, TX, USA) J.William Helton (San Diego, CA, USA) Marinus A. Kaashoek (Amsterdam, NL) Thomas Kailath (Stanford, CA, USA) Peter Lancaster (Calgary, Canada) Peter D. Lax (New York, NY, USA) Bernd Silbermann (Chemnitz, Germany) Harold Widom (Santa Cruz, CA, USA)

Subseries Linear Operators and Linear Systems Subseries editors: Daniel Alpay (Orange, CA, USA) Birgit Jacob (Wuppertal, Germany) André C.M. Ran (Amsterdam, The Netherlands)

Subseries Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze (Potsdam, Germany) Michael Demuth (Clausthal, Germany) Jerome A. Goldstein (Memphis, TN, USA) Nobuyuki Tose (Yokohama, Japan) Ingo Witt (Göttingen, Germany)

More information about this series at http://www.springer.com/series/4850

Fatihcan M. Atay • Pavel B. Kurasov • Delio Mugnolo Editors

Discrete and Continuous Models in the Theory of Networks

Editors Fatihcan M. Atay Department of Mathematics Bilkent University Ankara, Turkey

Pavel B. Kurasov Department of Mathematics Stockholm University Stockholm, Sweden

Delio Mugnolo Faculty of Mathematics and Computer Science FernUniversität in Hagen Hagen, Germany

ISSN 0255-0156 ISSN 2296-4878 (electronic) Operator Theory: Advances and Applications ISBN 978-3-030-44096-1 ISBN 978-3-030-44097-8 (eBook) https://doi.org/10.1007/978-3-030-44097-8 Mathematics Subject Classification: 34L15, 35R30, 81Q10 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to