New Foundations For Geometry Two Non Additive Languages For Arithmetical Geometry
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New Foundations for Geometry: Two Non-Additive Languages for Arithmetical Geometry
Author: Shai M. J. Haran
language: en
Publisher: American Mathematical Soc.
Release Date: 2017-02-20
To view the abstract go to http://www.ams.org/books/memo/1166.
Horizons of Fractal Geometry and Complex Dimensions
Author: Robert G. Niemeyer
language: en
Publisher: American Mathematical Soc.
Release Date: 2019-06-26
This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21–29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).
Needle Decompositions in Riemannian Geometry
Author: Bo’az Klartag
language: en
Publisher: American Mathematical Soc.
Release Date: 2017-09-25
The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, the author's method is based on the following observation: When the Ricci curvature is non-negative, log-concave measures are obtained when conditioning the Riemannian volume measure with respect to a geodesic foliation that is orthogonal to the level sets of a Lipschitz function. The Monge mass transfer problem plays an important role in the author's analysis.