Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, wh

A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.

Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use fo

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional dru

"Notes based on a series of lectures delivered at Kent State University in 2011"--Preface.