Although there is no precise definition of a “fractal”, it is usually understood to be a set whose smaller parts, when magnified, resemble the whole. Self-similar and self-affine sets are those for which this resemblance is precise and given by a...Loe edasi...
(Ilmumisaeg: 30-Jun-2017, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470434656)
While working to expose a coherent general theory of groups acting isometrically on infinite-dimensional hyperbolic space, Das, Simmons,and Urbanski realized that a more natural domain for their inquiries was the much larger setting of semigroups...Loe edasi...
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 Geome...Loe edasi...
The three conferences memorialized the passing of Mandelbrot, widely considered the founder of fractal geometry, and the 18 papers here are a selection from all of them. They discuss such topics as extreme risk and fractal regularity in finance, zeta...Loe edasi...