Asymptotics of weighted lattice point counts inside dilating domains.

Title: Asymptotics of weighted lattice point counts inside dilating domains.
Identifier: AAI3310588
identifier: 3310588
Creator: Nechayeva, Marina.
Contributor: Adviser: Burton Randol
Date: 2008
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: We investigate, in the 2-dimensional case, asymptotics of homogeneous variable density lattice point counts for polygons, as well as for other domains having zones of zero curvature on the boundary. We derive results for polygons of algebraic type, as well as a metrical almost everywhere result for rotated polygons. We also discuss averages, over both the rotation group and the Euclidean group, of the variable density lattice point count for other types of domains having points of zero curvature on the boundary.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.

Media: Asymptotics of weighted lattice point counts inside dilating domains.