scholarly journals Numerical Approximation of Conditionally Invariant Measures via Maximum Entropy

2014 ◽  
pp. 81-104
Author(s):  
Christopher Bose ◽  
Rua Murray
Keyword(s):  
Maximum Entropy ◽  
Numerical Approximation ◽  
Invariant Measures

A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities

2018 ◽  
Vol 28 (12) ◽  
pp. 1850154 ◽  
Author(s):  
Congming Jin ◽  
Tulsi Upadhyay ◽  
Jiu Ding
Keyword(s):  
Maximum Entropy ◽  
Invariant Measures ◽  
Piecewise Linear ◽  
Maximum Entropy Principle ◽  
Entropy Method ◽  
Absolutely Continuous ◽  
Random Maps ◽  
Moment Functions ◽  
Entropy Principle ◽  
Absolutely Continuous Invariant

We present a numerical method for the approximation of absolutely continuous invariant measures of one-dimensional random maps, based on the maximum entropy principle and piecewise linear moment functions. Numerical results are also presented to show the convergence of the algorithm.

Efficient numerical approximation of maximum entropy estimates

2006 ◽  
Vol 79 (9) ◽  
pp. 1145-1155 ◽  
Author(s):  
A. Balestrino ◽  
A. Caiti ◽  
E. Crisostomi
Keyword(s):  
Maximum Entropy ◽  
Numerical Approximation ◽  
Entropy Estimates

Stochasting modeling of planetary ring systems

1984 ◽  
Vol 75 ◽  
pp. 461-469 ◽  
Author(s):  
Robert W. Hart
Keyword(s):  
Maximum Entropy ◽  
Ring System ◽  
The Sun ◽  
Ultimate State ◽  
Interparticle Interactions ◽  
Ring Systems ◽  
First Order ◽  
Planetary Ring ◽  
Insight Into

ABSTRACTThis paper models maximum entropy configurations of idealized gravitational ring systems. Such configurations are of interest because systems generally evolve toward an ultimate state of maximum randomness. For simplicity, attention is confined to ultimate states for which interparticle interactions are no longer of first order importance. The planets, in their orbits about the sun, are one example of such a ring system. The extent to which the present approximation yields insight into ring systems such as Saturn's is explored briefly.

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