Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Fractals in probability and analysis / Christopher J. Bishop and Yuval Peres.

By: Contributor(s): Material type: TextTextSeries: Cambridge studies in advanced mathematics ; 162.Publication details: Cambridge : Cambridge University Press, 2017.Description: ix, 402 pages : illustrations ; 24 cmISBN:
  • 9781107134119 (hardback : alk. paper)
Subject(s): DDC classification:
  • 514.742 23 B622
Contents:
1. Minkowski and Hausdorff dimensions; 2. Self-similarity and packing dimension; 3. Frostman's theory and capacity; 4. Self-affine sets; 5. Graphs of continuous functions; 6. Brownian motion, part I; 7. Brownian motion, part II; 8. Random walks, Markov chains and capacity; 9. Besicovitch-Kakeya sets; 10. The traveling salesman theorem; Appendix A. Banach's fixed-point theorem; Appendix B. Frostman's lemma for analytic sets; Appendix C. Hints and solutions to selected exercises; References; Index.
Summary: A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 514.742 B622 (Browse shelf(Opens below)) Available 138131
Total holds: 0

Includes bibliographical references and index.

1. Minkowski and Hausdorff dimensions;
2. Self-similarity and packing dimension;
3. Frostman's theory and capacity;
4. Self-affine sets;
5. Graphs of continuous functions;
6. Brownian motion, part I;
7. Brownian motion, part II;
8. Random walks, Markov chains and capacity;
9. Besicovitch-Kakeya sets;
10. The traveling salesman theorem;
Appendix A. Banach's fixed-point theorem;
Appendix B. Frostman's lemma for analytic sets;
Appendix C. Hints and solutions to selected exercises; References;
Index.

A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in