scholarly journals Large Deviation Multifractal Analysis of a Class of Additive Processes With Correlated Nonstationary Increments

2013 ◽  
Vol 21 (4) ◽  
pp. 1309-1321 ◽  
Author(s):  
Jacques Levy Vehel ◽  
Michal Rams
Keyword(s):  
Multifractal Analysis ◽  
Large Deviation ◽  
Additive Processes

scholarly journals Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces

2019 ◽  
Vol 31 (10) ◽  
pp. 1950036 ◽  
Author(s):  
Noé Cuneo ◽  
Vojkan Jakšić ◽  
Claude-Alain Pillet ◽  
Armen Shirikyan
Keyword(s):  
Multifractal Analysis ◽  
Invariant Measures ◽  
Large Deviation ◽  
Thermodynamic Formalism ◽  
Hard Core ◽  
Shift Spaces ◽  
Large Deviation Principles ◽  
Fluctuation Relation ◽  
Level 3 ◽  
Level 1

We establish the Level-1 and Level-3 Large Deviation Principles (LDPs) for invariant measures on shift spaces over finite alphabets under very general decoupling conditions for which the thermodynamic formalism does not apply. Such decoupling conditions arise naturally in multifractal analysis, in Gibbs states with hard-core interactions, and in the statistics of repeated quantum measurement processes. We also prove the LDP for the entropy production of pairs of such measures and derive the related Fluctuation Relation. The proofs are based on Ruelle–Lanford functions, and the exposition is essentially self-contained.

SURVEY OF FOREST COVER CHANGES BY MEANS OF MULTIFRACTAL ANALYSIS

2018 ◽  
Vol 14 (1) ◽  
pp. 51-60
Author(s):  
Emilian DANILA ◽  
VALENTIN Hahuie ◽  
Puiu Lucian GEORGESCU ◽  
Luminița MORARU
Keyword(s):  
Multifractal Analysis ◽  
Forest Cover ◽  
Forest Cover Changes

Multifractal Analysis of Chaotic Point Sets

1992 ◽  
Author(s):  
L. V. Meisel ◽  
M. A. Johnson
Keyword(s):  
Multifractal Analysis ◽  
Point Sets
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