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STOC
2006
ACM
108views Algorithms» more  STOC 2006»
14 years 8 months 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»
14 years 8 months 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
14 years 21 days 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»
13 years 6 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»
13 years 6 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