Furstenberg sets connect geometry and number theory, revealing deep mathematical insights.
― 6 min read
Mathematics - Metric Geometry
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Explore the features and properties of hierarchical hyperbolic spaces.
― 6 min read
This article examines the role of stress-linked pairs in graph rigidity.
― 4 min read
Explore how conformal dimensions reflect the structure of Brownian motion's random paths.
― 4 min read
Exploring geometric perspectives on correlation matrices for deeper insights.
― 6 min read
This paper discusses methods to address the Falconer distance set problem using new estimates.
― 6 min read
This article examines the role of projections in mathematics and their applications.
― 5 min read
Exploring the complexities of the Cops and Robber game in new environments.
― 5 min read
A look into how geodesics behave on various 3D shapes.
― 6 min read
A look into translation-invariant smooth valuations and their applications.
― 6 min read
An overview of non-Archimedean valued fields and their significance in mathematics.
― 5 min read
Explore the interaction of time and space in Lorentzian length spaces.
― 6 min read
Examining the relationship between stability and limit sets in Kleinian groups.
― 5 min read
Methods to compare data defined on shapes through metrics and stable representations.
― 4 min read
Explore important aspects of Dirichlet forms and their applications in geometry and analysis.
― 6 min read
Analyzing relationships between conformal dimensions in quasiself-similar and combinatorially Loewner spaces.
― 5 min read
This research offers new methods for measuring distances between different dimensional spheres.
― 6 min read
Explore how geometric inequalities reveal relationships within shapes.
― 5 min read
A look into how certain sets behave under different conditions.
― 5 min read
Examining the impact of randomness on system behavior through parabolic Anderson models.
― 4 min read
A new algorithm for efficient point arrangements in lattice quantization.
― 7 min read
New findings in spherical codes enhance understanding and applications in various fields.
― 5 min read
Learn how to make a twisted paper cylinder with easy steps.
― 5 min read
Exploring the structure and properties of CAT(spaces) and their acting groups.
― 6 min read
An overview of mixed volumes and their significance in geometry.
― 6 min read
This study examines how to reconstruct points based on limited distance information.
― 5 min read
This article explores the relationship between coarse and boundedly supported cohomology.
― 6 min read
Examining how random fractal shapes connect through probability.
― 6 min read
A look into the Poincaré inequality and its connection to geometric properties.
― 5 min read
An exploration of metric measure spaces and their significance in mathematics.
― 7 min read
This article examines point arrangements with integer distances across various geometrical structures.
― 7 min read
Gatzouras-Lalley carpets reveal complex patterns and dimensions in fractal geometry.
― 5 min read
Examining the rigid properties of Lorentzian length spaces and their implications.
― 6 min read
Learn how graphic statics and cosheaves help design strong structures.
― 5 min read
Exploring the challenges of covering points on a flat surface using unit disks.
― 5 min read
This article explores the relationship between music and math through research and concepts.
― 5 min read
Introducing VOROS, a method for improving classifier performance assessment in imbalanced scenarios.
― 7 min read
A fresh approach to recovering signals impacted by saturation in various fields.
― 5 min read
A look into the strategies of cops and robbers on different surfaces.
― 5 min read
Examining the behavior and stability of crystal shapes in various conditions.
― 5 min read
A look into how Morse theory analyzes distance functions and critical points.
― 6 min read