Characterizing the Delaunay decompositions of compact hyperbolic surfaces

G Leibon - Geometry & Topology, 2002 - msp.org
Given a Delaunay decomposition of a compact hyperbolic surface, one may record the
topological data of the decomposition, together with the intersection angles between the “empty …

Topological structures in the equities market network

G Leibon, S Pauls, D Rockmore… - Proceedings of the …, 2008 - National Acad Sciences
We present a new method for articulating scale-dependent topological descriptions of the
network structure inherent in many complex systems. The technique is based on “partition …

A SNP streak model for the identification of genetic regions identical-by-descent

G Leibon, DN Rockmore, MR Pollak - Statistical Applications in …, 2008 - degruyter.com
The availability of very dense genetic maps is changing in a fundamental way the methods
used to identify the genetic basis of both rare and common inherited traits. The ability to …

A fast Hermite transform

G Leibon, DN Rockmore, W Park, R Taintor… - Theoretical computer …, 2008 - Elsevier
We present algorithms for fast and stable approximation of the Hermite transform of a
compactly supported function on the real line, attainable via an application of a fast algebraic …

Accurate image rotation using Hermite expansions

W Park, G Leibon, DN Rockmore… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
In this paper, we propose an approach for the accurate rotation of a digital image using
Hermite expansions. This exploits the fact that if a 2-D continuous bandlimited Hermite …

[HTML][HTML] The intrafirm complexity of systemically important financial institutions

RL Lumsdaine, DN Rockmore, NJ Foti, G Leibon… - Journal of Financial …, 2021 - Elsevier
In November 2011, the Financial Stability Board, in collaboration with the International
Monetary Fund, published a list of 29 “systemically important financial institutions” (SIFIs, now …

[LIVRE][B] Random Delaunay triangulations, the Thurston-Andreev theorem, and metric uniformization

G Leibon - 1999 - search.proquest.com
In this thesis a connection between the world of discrete and continuous conformal geometry
is explored. The world of discrete conformal geometry is related to disk pattern construction …

Partition decoupling for multi-gene analysis of gene expression profiling data

R Braun, G Leibon, S Pauls, D Rockmore - BMC bioinformatics, 2011 - Springer
Background Multi-gene interactions likely play an important role in the development of complex
phenotypes, and relationships between interacting genes pose a challenging statistical …

Orienteering in knowledge spaces: The hyperbolic geometry of wikipedia mathematics

G Leibon, DN Rockmore - PloS One, 2013 - journals.plos.org
In this paper we show how the coupling of the notion of a network with directions with the
adaptation of the four-point probe from materials testing gives rise to a natural geometry on …

Improved IBD detection using incomplete haplotype information

G Genovese, G Leibon, MR Pollak, DN Rockmore - BMC genetics, 2010 - Springer
Background The availability of high density genetic maps and genotyping platforms has
transformed human genetic studies. The use of these platforms has enabled population-based …