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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 5 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
FOCS
2007
IEEE
13 years 11 months ago
On the Complexity of Nash Equilibria and Other Fixed Points (Extended Abstract)
d Abstract) Kousha Etessami LFCS, School of Informatics University of Edinburgh Mihalis Yannakakis Department of Computer Science Columbia University We reexamine what it means to...
Kousha Etessami, Mihalis Yannakakis
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 3 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
ANTS
2010
Springer
291views Algorithms» more  ANTS 2010»
13 years 8 months ago
Fixed Points for Discrete Logarithms
: We establish a conjecture of Brizolis that for every prime p > 3 there is a primitive root r and an integer t in the interval [1, p − 1] with logr t = t. Here, logr is the d...
Mariana Levin, Carl Pomerance, K. Soundararajan