This book studies a new theory of metric geometry on metric measure spaces, originally developed by M. Gromov in his book 2Metric Structures for Riemannian and Non-Riemannian Spaces3 and based on the idea of the concentration of measure phenomenon due to Lévy and Milman. A centr…
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…
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 --…
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…
Es n. monogr. de la serie: Memoirs of the American Mathematical Society, ISSN 0065-9266, n. 991.
A course in metric geometry
by Burago, Dmitri, Burago, Yuri, Ivanov, Sergei A.
fromGraduate studies in mathematics
