Nonlinear potential theory on metric spaces
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This book proposes new notions of coherent geometric structure. Fractal patterns have emerged in many contexts, but what exactly is a "pattern" and what is not? How can one make precise the structures lying within objects and the relationships between them? The foundations laid …
Counterexamples in topology
by Steen, Lynn Arthur, Seebach, J. Arthur
fromDover books on mathematics
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Type: Book
What is Spatial Complexity? -- Spatial Complexity in Nature -- Scientific and Technological Applications of Spatial Complexity -- Geometry and Spatial Complexity -- Probabilities and Spatial Complexity -- Algorithms and Spatial -- Complexity -- Topology and Spatial Complexity --…
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of exa…
Analysis in singular spaces is becoming an increasingly important area of research, with motivation coming from the calculus of variations, PDEs, geometric analysis, metric geometry and probability theory, just to mention a few areas. In all these fields, the role of measure the…
