TY  - BOOK
AU  - Bishop,Christopher J.
AU  - Peres,Yuval
TI  - Fractals in probability and analysis
T2  - Cambridge studies in advanced mathematics
SN  - 9781107134119 (hardback : alk. paper)
U1  - 514.742 23
PY  - 2017///
CY  - Cambridge : 
PB  - Cambridge University Press
KW  - Fractal analysis
KW  - Geometric analysis
KW  - Probability measures
N1  - 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
N2  - A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities
ER  -