Summary: Simulating Quadratic Dynamical Systems is PSPACE­complete
(preliminary version)
Sanjeev Arora \Lambda
UC Berkeley
Yuval Rabani y
MIT
Umesh Vazirani z
UC Berkeley
Abstract
Quadratic Dynamical Systems (QDS), whose defi­
nition extends that of Markov chains, are used to
model phenomena in a variety of fields like statis­
tical physics and natural evolution. Such systems
also play a role in genetic algorithms, a widely­
used class of heuristics that are notoriously hard
to analyze. Recently Rabinovich et al. took an
important step in the study of QDS's by showing,
under some technical assumptions, that such sys­
tems converge to a stationary distribution (similar
theorems for Markov Chains are well­known). We

Source: Arora, Sanjeev - Department of Computer Science, Princeton University
Vazirani, Umesh - Department of Electrical Engineering and Computer Sciences, University of California at Berkeley

Collections: Computer Technologies and Information Sciences