Calculus, heat flow and curvature-dimension bounds in metric measure spaces Luigi Ambrosio (Scuola Normale Superiore, Pisa, Italy) March 3,

Source URL: eta.impa.br

• Mathematical analysis
• Mathematics
• Analysis
• Metric geometry
• Differential topology
• Measure theory
• Vector calculus
• Vector field
• Transportation theory
• Riemannian manifold
• Lipschitz continuity
• Metric space

METRIC DIMENSION REDUCTION: A SNAPSHOT OF THE RIBE PROGRAM ASSAF NAOR 1. Introduction The purpose of this article is to survey some of the context, achievements, challenges and mysteries of the field of metric dimension

Source URL: eta.impa.br

• Mathematics
• Mathematical analysis
• Geometry
• Functional analysis
• Metric geometry
• Banach spaces
• General topology
• BanachMazur compactum
• Tsirelson space
• Normed vector space
• Metric space
• Compact operator

Algorithms and Complexity for Metric Dimension and Location-Domination on Interval and Permutation Graphs? 1 Florent Foucaud , George Mertzios

Source URL: community.dur.ac.uk

Algorithmic information, plane Kakeya sets, and conditional dimension Jack H. Lutz∗ Neil Lutz†

Source URL: paul.rutgers.edu

• Mathematics
• Mathematical analysis
• Dimension theory
• Geometry
• Fractals
• Metric geometry
• Effective dimension
• Kakeya set
• Hausdorff dimension
• MinkowskiBouligand dimension
• Kolmogorov complexity
• Limit of a function

Fractal Working Group 1 Coordinators: Gerald Edgar, Larry Lindsay Notes LaTeX-ed in real-time by Steven Miller Participants: Bruce Adcock, Youri Dimitrov, Gerald Edgar, Dean Eiger, Charles Estill, Larry Lindsay, Steven M

Source URL: web.williams.edu

• Fractals
• Mathematics
• Mathematical analysis
• Dimension theory
• Geometry
• Metric geometry
• Topological spaces
• Measure theory
• Hausdorff dimension
• MinkowskiBouligand dimension
• Hausdorff measure
• Fractal

Covering the real line with translates of a zero dimensional compact set Andr´as M´ath´e∗ Abstract We construct a compact set C of Hausdorff dimension zero so that cof (N ) many translates of C cover the real line.

Source URL: homepages.warwick.ac.uk

• Topology
• Mathematics
• Space
• Metric geometry
• General topology
• Dimension theory
• Fractals
• Hausdorff dimension
• Lebesgue measure
• Base
• Riemann surfaces
• Differential forms on a Riemann surface

HAUSDORFF DIMENSION OF METRIC SPACES AND LIPSCHITZ MAPS ONTO CUBES ´ KELETI, ANDRAS ´ MATH ´ ´ AND ONDREJ

Source URL: homepages.warwick.ac.uk

• Metric geometry
• Lipschitz continuity
• Hausdorff dimension
• Metric space
• Hausdorff measure
• Separable space
• Doubling space
• Continuous function
• Topological manifold
• Complete metric space
• Borel measure
• Compact space

Research Statement: Casey Donoven The Cantor space is the set of all infinite sequences over a finite alaphabet X, which is a both a topological and metric space. My research to date has focused on studying structures re

Source URL: www-groups.mcs.st-and.ac.uk

• Fractals
• Dimension theory
• Georg Cantor
• Mathematical structures
• Topological spaces
• Cantor space
• Self-similarity
• Topology
• Hausdorff dimension
• Space
• Homeomorphism
• Invariant

ASYMPTOTIC DIMENSION AND SMALL-CANCELLATION FOR HIERARCHICALLY HYPERBOLIC SPACES AND GROUPS JASON BEHRSTOCK, MARK F. HAGEN, AND ALESSANDRO SISTO Abstract. We prove that all hierarchically hyperbolic groups have nite asy

Source URL: www.wescac.net

• Geometric group theory
• Metric geometry
• Hyperbolic geometry
• -hyperbolic space
• Linear algebra
• Hyperbolic group
• Hyperbolic space
• Quasi-isometry
• Relatively hyperbolic group
• Projection

Unsupervised Dimensionality Estimation and Manifold Learning in high-dimensional Spaces by Tensor Voting Philippos Mordohai and G´erard Medioni University of Southern California email: {mordohai,medioni}@iris.usc.edu

Source URL: www.cs.stevens.edu

• Multivariate statistics
• Dimension reduction
• Riemannian geometry
• Machine learning
• Computational statistics
• Tensor
• Nonlinear dimensionality reduction
• Dimensionality reduction
• Isomap
• LaplaceBeltrami operator
• Manifold
• Metric tensor