Analysis on Graphs and Its Applications
Home > Mathematics and Science Textbooks > Mathematics > Combinatorics and graph theory > Analysis on Graphs and Its Applications: (Proceedings of Symposia in Pure Mathematics)
Analysis on Graphs and Its Applications: (Proceedings of Symposia in Pure Mathematics)

Analysis on Graphs and Its Applications: (Proceedings of Symposia in Pure Mathematics)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wire systems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks. This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.

Table of Contents:
Analysis on combinatorial graphs: Review articles: Nodal domains on graphs--How to count them and why? by R. Band, I. Oren, and U. Smilansky Zeta functions of weighted graphs and covering graphs by M. D. Horton, H. M. Stark, and A. A. Terras Discrete geometric analysis by T. Sunada Research articles: Uniform existence of the integrated density of states for combinatorial and metric graphs over $Z^d$ by M. J. Gruber, D. H. Lenz, and I. Veselic Bartholdi zeta functions for periodic simple graphs by D. Guido, T. Isola, and M. L. Lapidus Asymptotic properties of Markov processes on Cayley trees by M. Kelbert and Y. Suhov Analysis on fractals: Review articles: Group and analysis on fractals by V. Nekrashevych and A. Teplyaev Research articles: Schreier spectrum of the Hanoi Towers group on three pegs by R. Grigorchuk and Z. Sunic On the dichotomy in the heat kernel two sided estimates by A. Grigor'yan and T. Kumagai Tube formulas for self-simlar fractals by M. L. Lapidus and E. P. J. Pearse Existence of Eigenforms on nicely separated fractals by R. Peirone Analysis on quantum graphs: Review articles: Trace formulae for quantum graphs by J. Bolte and S. Endres Quantum graphs with spin Hamiltonians by J. Harrison Quantum graphs and quantum chaos by J. P. Keating Quantum graphs: An introduction and a brief survey by P. Kuchment Research articles: Two constructions of quantum graphs and two types of spectral statistics by G. Berkolaik An example on the discrete spectrum of a star graph by B. M. Brown, M. S. P. Eastham, and I. G. Wood The HELP inequality on trees by B. M. Brown, M. Langer, and K. M. Schmidt Boundary value problems for infnite metric graphs by R. Carlson Remarks about Hardy inequalities on metric trees by T. Ekholm, R. L. Frank, and H. Kovarik On the spectral gap in Andreev graphs by H. Flechsig and S. Gnutzmann An inverse spectral problem for Sturm-Liouville operators with singular potentials on star-type graphs by G. Freiling, M. Ignatiev, and V. Yurko Optimal Wegner estimates for random Schrodinger operators on metric graphs by M. J. Gruber, M. Helm, and I. Veselic Contraction semigroups on metric graphs by V. Kostrykin, J. Potthoff, and R. Schrader Localization in a quasiperiodic model on quantum graphs by K. Pankrashkin Equilateral quantum graphs and boundary triples by O. Post A conditionally convergent trace formula for quantum graphs by B. Winn Applications: Review articles: Conrol problems on quantum graphs by S. Avdonin Leaky quantum graphs: A review by P. Exner Thin tubes in mathematical physics, global analysis and spectral geometry by D. Grieser Simulation of quantum graphs by microwave networks by O. Hul, M. Lawniczak, S. Bauch, and L. Sirko Twisting versus bending in quantum waveguides by D. Krejcirik Research articles: Quantum field theory on star graphs by B. Bellazzini, M. Burrello, M. Mintchev, and P. Sorba On the skeleton method and an application to a quantum scissor by H. D. Comean, P. Duclos, and B. Ricaud Vacuum energy and closed orbits in quantum graphs by S. A. Fulling and J. H. Wilson Spectra of graphs and semi-conducting polymers by P. Schapotschnikow and S. Gnutzmann.


Best Sellers


Product Details
  • ISBN-13: 9780821844717
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Language: English
  • Series Title: Proceedings of Symposia in Pure Mathematics
  • ISBN-10: 0821844717
  • Publisher Date: 01 Sep 2008
  • Binding: Hardback
  • No of Pages: 689
  • Weight: 1426 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Analysis on Graphs and Its Applications: (Proceedings of Symposia in Pure Mathematics)
American Mathematical Society -
Analysis on Graphs and Its Applications: (Proceedings of Symposia in Pure Mathematics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Analysis on Graphs and Its Applications: (Proceedings of Symposia in Pure Mathematics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!