A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
A bijection preserving horocycles/hypercycles is an isometry in hyperbolic plane.
Given a geodesic line the hyperbolic space we formulate a necessary and sufficient condition for a function along this geodesic which measure the mean curvature of totally umbilical leaves of a foliation orthogonal to . Then we extend the result to being a hypercycle i.e. a geodesic on a hypers…
Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be represented as projective limits of Banach manifolds. This led to …
Paper proves a discrete Schwarz-Pick lemma for generalized circle packings.
The paper finds circle packings with specific curvatures in hyperbolic geometry.
The paper studies circle packings on surfaces with boundary and their total geodesic curvatures.
The paper finds conditions for graphs with constant mean curvature in hyperbolic space.
The article describes how decorations on hyperbolic surfaces lead to unique tessellations and decompositions.