(Ilmumisaeg: 28-Feb-2025, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470476236)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Loe edasi...
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Loe edasi...
Combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively...Loe edasi...
Contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics in fractal theory, fractal geometry, dynamical systems, and the application o...Loe edasi...
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...
Provides a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure the...Loe edasi...
In this paper we develop a new approach for studying overlapping iterated function systems. This approach is inspired by a famous result due to Khintchine from Diophantine approximation which shows that for a family of limsup sets, their Lebesgue me...Loe edasi...
Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardys inequalities, and partial differential equations....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...
(Ilmumisaeg: 30-May-2014, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470414566)
The authors introduce a number of basic questions regarding the distribution of volume in high-dimensional convex bodies, and provide an up-to-date account of developments since the beginning of the 21st century. It is now understood that the convexi...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...
(Ilmumisaeg: 28-May-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821891391)
All but two of the 17 papers were written between 1985 and 1999, says Milnor (State U. of New York-Stony Brook). Covering in turn real dynamics and complex dynamics, they consider such topics as directional entropies of cellular automaton-maps, a mon...Loe edasi...
The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equati...Loe edasi...
