On the multifractal analysis of Bernoulli convolutions. I. Large-deviation results

1996 ◽  
Vol 82 (1-2) ◽  
pp. 367-395 ◽  
Author(s):  
François Ledrappier ◽  
Anna Porzio
Keyword(s):  
Multifractal Analysis ◽  
Large Deviation ◽  
Bernoulli Convolutions

On the multifractal analysis of Bernoulli convolutions. II. Dimensions

1996 ◽  
Vol 82 (1-2) ◽  
pp. 397-420 ◽  
Author(s):  
François Ledrappier ◽  
Anna Porzio
Keyword(s):  
Multifractal Analysis ◽  
Bernoulli Convolutions

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.

Multifractal analysis of China's metals futures markets

2014 ◽  
Author(s):  
Xinsheng Lu ◽  
Jing Qin ◽  
Changfa Qian ◽  
Xuemei Yuan
Keyword(s):  
Multifractal Analysis ◽  
Futures Markets

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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