82 citations
- City University of New YorkUS4 papers
- Rutgers, The State University of New JerseyUS3 papers
- The Graduate Center, CUNYUS2 papers
- Courant Institute of Mathematical SciencesUS1 paper
- Department of Biological SciencesBY1 paper
- Indiana UniversityUS1 paper
- Johannes Gutenberg University MainzDE1 paper
- New York UniversityUS1 paper
- Rütgers (Germany)DE1 paper
- University of LisbonPT1 paper
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12 papers
Maximal Sidon Sets and Matroids
J. A. Dias da Silva, Melvyn B. Nathanson
Let X be a subset of an abelian group and a_1,...,a_h,a'_1,...,a'_h a sequence of 2h elements of X such that a_1 + ... + a_h = a'_1 + ... + a'_h. The set X is a Sidon set of order…
A new upper bound for finite additive bases
Sinan Gunturk, Melvyn B. Nathanson
Let n(2,k) denote the largest integer n for which there exists a set A of k nonnegative integers such that the sumset 2A contains {0,1,2,...,n-1}. A classical problem in additive n…
Random holomorphic iterations and degenerate subdomains of the unit disk
Linda Keen, Nikola Lakic
Given a random sequence of holomorphic maps of the unit disk to a subdomain , we consider the compositions $$F_n=f_1 \circ f_{2} \circ ... f_{n-1} \circ f_…
The Geometry of Two Generator Groups: Hyperelliptic Handlebodies
Jane Gilman, Linda Keen
For two generator free Fuchsian groups, the quotient three manifold is a genus two solid handlebody and its boundary is a hyperelliptic Riemann surface. The convex core is also a h…
Reply to "Comment on Universal Decoherence in Solids"
Eugene M. Chudnovsky
The Comment of Openov (PRL 93, 158901 (2004)) on my Physical Review Letter (PRL 92, 120405 (2004)) does not affect the universality of the decoherence mechanism described in the Le…
Parageometric outer automorphisms of free groups
Michael Handel, Lee Mosher
We study those fully irreducible outer automorphisms phi of a finite rank free group F_r which are ``parageometric'', meaning that the attracting fixed point of phi in the boundary…