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STOC
2006
ACM
108views Algorithms» more  STOC 2006»
16 years 1 hour ago
Gowers uniformity, influence of variables, and PCPs
Gowers [Gow98, Gow01] introduced, for d 1, the notion of dimension-d uniformity Ud (f) of a function f : G C, where G is a finite abelian group. Roughly speaking, if a function ...
Alex Samorodnitsky, Luca Trevisan
STOC
2007
ACM
140views Algorithms» more  STOC 2007»
16 years 2 hour ago
On the submodularity of influence in social networks
We prove and extend a conjecture of Kempe, Kleinberg, and Tardos (KKT) on the spread of influence in social networks. A social network can be represented by a directed graph where...
Elchanan Mossel, Sébastien Roch
COMPGEOM
2010
ACM
15 years 4 months ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir
SIAMAM
2010
119views more  SIAMAM 2010»
14 years 10 months ago
The Dynamics of Weakly Reversible Population Processes near Facets
This paper concerns the dynamical behavior of weakly reversible, deterministically modeled population processes near the facets (codimension-one faces) of their invariant manifolds...
David F. Anderson, Anne Shiu
RSA
2010
94views more  RSA 2010»
14 years 10 months ago
Word maps and spectra of random graph lifts
We study here the spectra of random lifts of graphs. Let G be a finite connected graph, and let the infinite tree T be its universal cover space. If λ1 and ρ are the spectral ...
Nati Linial, Doron Puder