On limits of graphs sphere packed in Euclidean space and applications
From MaRDI portal
Publication:648959
DOI10.1016/j.ejc.2011.03.016zbMath1231.52015arXiv0907.2609OpenAlexW2046065941MaRDI QIDQ648959
Nicolas Curien, Itai Benjamini
Publication date: 29 November 2011
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.2609
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Infinite graphs (05C63)
Related Items
Doubling metric spaces are characterized by a lemma of Benjamini and Schramm ⋮ On the Riemann surface type of random planar maps ⋮ A finite subdivision rule for the \(n\)-dimensional torus ⋮ The triple intersection property, three dimensional extremal length, and tiling of a topological cube ⋮ Distributional limits of Riemannian manifolds and graphs with sublinear genus growth ⋮ LACK OF SPHERE PACKING OF GRAPHS VIA NONLINEAR POTENTIAL THEORY ⋮ Inventory Accumulation with $k$ Products ⋮ Growth and isoperimetric profile of planar graphs ⋮ Conformal growth rates and spectral geometry on distributional limits of graphs ⋮ Discrete uniformizing metrics on distributional limits of sphere packings
Uses Software
Cites Work
- Acute triangulations of polyhedra and \(\mathbb R^N\)
- The ring Lemma in three dimensions
- On locally constructible spheres and balls
- Oded Schramm: from circle packing to SLE
- The convergence of circle packings to the Riemann mapping
- The extremal length of a network
- A remark on parabolic index of infinite networks
- Square tilings with prescribed combinatorics
- Parabolic index and rough isometries
- Potential theory on infinite networks
- Packings with large minimum kissing numbers
- Recurrence of distributional limits of finite planar graphs
- A short proof that a subquadratic isoperimetric inequality implies a linear one
- Hyperbolic and parabolic packings
- Average kissing numbers for non-congruent sphere packings
- Random walks and harmonic functions on infinite planar graphs using square tilings
- The dissection of rectangles into squares
- Unnamed Item
- Unnamed Item
