Conformal Fractals: Ergodic Theory Methods
by F. Przytycki, M. Urbanski
Publisher: Cambridge University Press 2009
Number of pages: 362
This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity. Detailed proofs are included.
Home page url
Download or read it online for free here:
by Athanase Papadopoulos - arXiv
The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.
by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
by N. L. Carothers - Bowling Green State University
The text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites include a course in advanced calculus.
by Carlo Cattani, et al. - De Gruyter Open Ltd
The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics.