Category
Non-Euclidean geometry
Related publications (28)
On The Number Of Ordinary Conics
Frank de Zeeuw, Adrian Claudiu Valculescu
We prove a lower bound on the number of ordinary conics determined by a finite point set in R-2. An ordinary conic for S subset of R-2 is a conic that is determined by five points of S and contains no other points of S. Wiseman and Wilson proved the Sylves ...
Siam Publications2016Minimal entropy for uniform lattices in product of hyperbolic planes
Let M be a quotient of H-2 x ... x H-2 (product of hyperbolic planes) by a uniform lattice of. PSL2(R))(n). We prove that, among metrics of M of prescribed volume, the sum of hyperbolic metrics has minimal volume entropy. ...
European Mathematical Soc2016An Exotic Deformation of the Hyperbolic Space
Let Isom(H^n) be the group of isometries of the n-dimensional real hyperbolic space. We first classify all continuous non-elementary actions of on the infinite-dimensional real hyperbolic space. We then prove the existence of a continuous family of non-iso ...
Johns Hopkins Univ Press2014On some convex cocompact groups in real hyperbolic space
We generalize to a wider class of hyperbolic groups a construction by Misha Kapovich yielding convex cocompact representations into real hyperbolic space. ...
Geometry & Topology Publications2013The Energy Density in the Planar Ising Model
Clément Hongler, Stanislav Smirnov
We study the critical Ising model on the square lattice in bounded simply connected domains with + and free boundary conditions. We relate the energy density of the model to a discrete fermionic spinor and compute its scaling limit by discrete complex anal ...
2013Closing Large Hyperbolic 2g-gons
Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...
EPFL2012Finite Element Method on Riemann Surfaces and Applications to the Laplacian Spectrum
The objective of this PhD thesis is the approximate computation of the solutions of the Spectral Problem associated with the Laplace operator on a compact Riemann surface without boundaries. A Riemann surface can be seen as a gluing of portions of the Hype ...
EPFL2012Global three-dimensional Fluid SOL simulations with aspect ratio effects
Paolo Ricci, Joaquim Loizu Cisquella, Sébastien Jolliet, Federico David Halpern, Annamaria Mosetto
Plasma edge turbulence plays a fundamental role in determining the performance of fusion devices. In the Scrape-Off-Layer (SOL), the plasma dynamics is the result of the interplay between the plasma outflow from the core, perpendicular transport and parall ...
2012Estimation of interfacial fracture toughness based on progressive edge delamination of a thin transparent coating on a polymer substrate
Evaluation of interfacial toughness of sub-micron-thickness layers deposited on a ductile substrate is a challenging task which has motivated different experimental approaches Fragmentation testing was used in the present study as a means of interface char ...
Elsevier2010The spherical approach to omnidirectional visual attention
Heinz Hügli, Iva Bogdanova Vandergheynst, Alexandre Bur
Computational visual attention (VA) has been widely investigated during the last three decades but the conventional algorithms are not suitable for omnidirectional images which often contain a significant amount of radial distortion. Only recently a comput ...
2008