Actions for Algebraic decay in self-similar Markov chains

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Algebraic decay in self-similar Markov chains

Author
Hanson, J. D.
Published
United States : [publisher not identified], 1984
Springfield, Va.: National Technical Information Service, [approximately 1984]
Physical Description
microfiche : negative ; 11 x 15 cm
Additional Creators
Cary, J. R. and Meiss, J. D.

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Summary
A continuous time Markov chain is used to model motion in the neighborhood of a critical noble invariant circle in an area-preserving map. States in the infinite chain represent successive rational approximants to the frequency of the invariant circle. The nonlinear integral equation for the first passage time distribution is solved exactly. The asymptotic distribution is a power law times a function periodic in the logarithm of the time. For parameters relevant to Hamiltonian systems the decay proceeds as t/sup -4/ /sup 05/.
Report Numbers
DE85003162; DOE/ET/53088-156; IFSR-156
Other Subject(s)
Collection
NTIS collection.
Note
DOE contract number: FG05-80ET53088
OSTI Identifier 6118899
Research organization: Texas Univ., Austin (USA). Inst. for Fusion Studies.
View MARC record | catkey: 47347778