Conformal Fractals
Title | Conformal Fractals PDF eBook |
Author | Feliks Przytycki |
Publisher | Cambridge University Press |
Pages | 365 |
Release | 2010-05-06 |
Genre | Mathematics |
ISBN | 0521438004 |
A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics
Title | Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: Fractals in pure mathematics PDF eBook |
Author | David Carfi |
Publisher | American Mathematical Soc. |
Pages | 410 |
Release | 2013-10-22 |
Genre | Mathematics |
ISBN | 0821891472 |
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry (and some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry. The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.
Fractals in Probability and Analysis
Title | Fractals in Probability and Analysis PDF eBook |
Author | Christopher J. Bishop |
Publisher | Cambridge University Press |
Pages | 415 |
Release | 2017 |
Genre | Mathematics |
ISBN | 1107134110 |
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Assouad Dimension and Fractal Geometry
Title | Assouad Dimension and Fractal Geometry PDF eBook |
Author | Jonathan M. Fraser |
Publisher | Cambridge University Press |
Pages | 287 |
Release | 2020-10-29 |
Genre | Mathematics |
ISBN | 1108478654 |
The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.
Geometry and Analysis of Fractals
Title | Geometry and Analysis of Fractals PDF eBook |
Author | De-Jun Feng |
Publisher | Springer |
Pages | 360 |
Release | 2014-08-01 |
Genre | Mathematics |
ISBN | 3662439204 |
This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong. The volume offers insights into a number of exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematical physics.
Lectures On Fractal Geometry
Title | Lectures On Fractal Geometry PDF eBook |
Author | Martina Zaehle |
Publisher | World Scientific |
Pages | 141 |
Release | 2023-12-27 |
Genre | Mathematics |
ISBN | 9811283354 |
This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the period from 1995 up to 2015. It is completed by additional material and extensions of some basic results from the literature to more general metric spaces.This book provides a clear introduction to classical fields of fractal geometry, which provide some background for modern topics of research and applications. Some basic knowledge on general measure theory and on topological notions in metric spaces is presumed.
Universality and Renormalization
Title | Universality and Renormalization PDF eBook |
Author | Ilia Binder |
Publisher | American Mathematical Soc. |
Pages | 414 |
Release | 2007 |
Genre | Mathematics |
ISBN | 0821842730 |
This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic. Information for our distributors: Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).