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COMBINATORICS
1998
80views more  COMBINATORICS 1998»
13 years 4 months ago
Increasing Subsequences and the Classical Groups
We show that the moments of the trace of a random unitary matrix have combinatorial interpretations in terms of longest increasing subsequences of permutations. To be precise, we s...
Eric M. Rains
COMBINATORICS
2002
92views more  COMBINATORICS 2002»
13 years 4 months ago
Pattern Avoidance in Permutations: Linear and Cyclic Orders
: We generalize the notion of pattern avoidance to arbitrary functions on ordered sets, and consider specifically three scenarios for permutations: linear, cyclic and hybrid, the f...
Antoine Vella
RSA
2010
94views more  RSA 2010»
13 years 2 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
ESORICS
2003
Springer
13 years 9 months ago
Rapid Mixing and Security of Chaum's Visual Electronic Voting
Recently, David Chaum proposed an electronic voting scheme that combines visual cryptography and digital processing. It was designed to meet not only mathematical security standard...
Marcin Gomulkiewicz, Marek Klonowski, Miroslaw Kut...