A recipe for an optimal power law tailed walk

2021 ◽  
Vol 31 (2) ◽  
pp. 023128
Author(s):  
Tomoko Sakiyama
Keyword(s):  
Power Law ◽  
Optimal Power

scholarly journals Greedy–Merge Degrading has Optimal Power-Law

2019 ◽  
Vol 65 (2) ◽  
pp. 917-934 ◽  
Author(s):  
Assaf Kartowsky ◽  
Ido Tal
Keyword(s):  
Power Law ◽  
Optimal Power

The averaging method for perturbations of mixing flows

1997 ◽  
Vol 17 (6) ◽  
pp. 1339-1358 ◽  
Author(s):  
H. SCOTT DUMAS ◽  
FRANÇOIS GOLSE
Keyword(s):  
Small Parameter ◽  
Power Law ◽  
Averaging Method ◽  
Maximum Difference ◽  
Anosov Flow ◽  
Optimal Power ◽  
Average Maximum

For a class of multiphase averaging problems in which the unperturbed flow of the fast variables is a transitive Anosov flow or is ‘sufficiently rapidly mixing’, we obtain what we believe is an optimal power-law estimate, in the small parameter, of the rate at which the average maximum difference between solutions of the exact and averaged problems converges to zero. This verifies and extends an earlier conjectural remark by V. I. Arnold.

Analysis of power law assumptions for short-period comets and Kuiper bodies

1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit
Keyword(s):  
Power Law ◽  
Pareto Distribution ◽  
Limited Data ◽  
Short Period ◽  
Probability Plots ◽  
Exponential Probability

AbstractA Pareto distribution was used to model the magnitude data for short-period comets up to 1988. It was found using exponential probability plots that the brightness did not vary with period and that the cut-off point previously adopted can be supported statistically. Examination of the diameters of Trans-Neptunian bodies showed that a power law does not adequately fit the limited data available.

Hearing in Mice by GSR Audiometry: II. Magnitude of Unconditioned GSR as a Function of Intensity and Frequency Interactions

1968 ◽  
Vol 11 (1) ◽  
pp. 169-178 ◽  
Author(s):  
Alan Gill ◽  
Charles I. Berlin
Keyword(s):  
Power Law ◽  
Response Magnitude ◽  
Single Units ◽  
Spectral Content ◽  
Hearing Sensitivity ◽  
Subjective Magnitude ◽  
Orderly Fashion ◽  
Viiith Nerve

The unconditioned GSR’s elicited by tones of 60, 70, 80, and 90 dB SPL were largest in the mouse in the ranges around 10,000 Hz. The growth of response magnitude with intensity followed a power law (10 .17 to 10 .22 , depending upon frequency) and suggested that the unconditioned GSR magnitude assessed overall subjective magnitude of tones to the mouse in an orderly fashion. It is suggested that hearing sensitivity as assessed by these means may be closely related to the spectral content of the mouse’s vocalization as well as to the number of critically sensitive single units in the mouse’s VIIIth nerve.

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