Experimental evidence of a phase transition in the multifractal spectra of turbulent temperature fluctuations at a forest canopy top

2020 ◽  
Vol 896 ◽  
Author(s):  
S. Dupont ◽  
F. Argoul ◽  
E. Gerasimova-Chechkina ◽  
M. R. Irvine ◽  
A. Arneodo

1998 ◽  
Vol 83 (11) ◽  
pp. 7291-7293 ◽  
Author(s):  
S. Odin ◽  
F. Baudelet ◽  
J. P. Itié ◽  
A. Polian ◽  
S. Pizzini ◽  
...  

2018 ◽  
Vol 40 (6) ◽  
pp. 374-383 ◽  
Author(s):  
Yahya Al-Khatatbeh ◽  
Khaldoun Tarawneh ◽  
Hussein Al-Taani ◽  
Kanani K. M. Lee

1984 ◽  
Vol 52 (7) ◽  
pp. 496-499 ◽  
Author(s):  
A. D. Panagiotou ◽  
M. W. Curtin ◽  
H. Toki ◽  
D. K. Scott ◽  
P. J. Siemens

2009 ◽  
Vol 52 (1) ◽  
pp. 179-194 ◽  
Author(s):  
L. OLSEN

AbstractTwo of the main objects of study in multifractal analysis of measures are the coarse multifractal spectra and the Rényi dimensions. In the 1980s it was conjectured in the physics literature that for ‘good’ measures the following result, relating the coarse multifractal spectra to the Legendre transform of the Rényi dimensions, holds, namely This result is known as the multifractal formalism and has now been verified for many classes of measures exhibiting some degree of self-similarity. However, it is also well known that there is an abundance of measures not satisfying the multifractal formalism and that, in general, the Legendre transforms of the Rényi dimensions provide only upper bounds for the coarse multifractal spectra. The purpose of this paper is to prove that even though the multifractal formalism fails in general, it is nevertheless true that all measures (satisfying a mild regularity condition) satisfy the inverse of the multifractal formalism, namely


2012 ◽  
Vol 27 (19) ◽  
pp. 2449-2456 ◽  
Author(s):  
Sang Il Kim ◽  
Sungwoo Hwang ◽  
Jong Wook Roh ◽  
Kyunghan Ahn ◽  
Dong-Hee Yeon ◽  
...  

Abstract


1999 ◽  
Vol 36 (04) ◽  
pp. 1101-1115 ◽  
Author(s):  
Olle Häggström ◽  
Johan Jonasson

The random triangle model was recently introduced as a random graph model that captures the property of transitivity that is often found in social networks, i.e. the property that given that two vertices are second neighbors, they are more likely to be neighbors. For parameters p ∊ [0,1] and q ≥ 1, and a finite graph G = (V, E), it assigns to elements η of {0,1} E probabilities which are proportional to where t(η) is the number of triangles in the open subgraph. In this paper the behavior of the random triangle model on the two-dimensional triangular lattice is studied. By mapping the system onto an Ising model with external field on the hexagonal lattice, it is shown that phase transition occurs if and only if p = (q−1)−2/3 and q > q c for a critical value q c which turns out to equal It is furthermore demonstrated that phase transition cannot occur unless p = p c (q), the critical value for percolation of open edges for given q. This implies that for q ≥ q c , p c (q) = (q−1)−2/3.


2004 ◽  
Vol 93 (10) ◽  
Author(s):  
Florent Occelli ◽  
Daniel L. Farber ◽  
James Badro ◽  
Chantel M. Aracne ◽  
David M. Teter ◽  
...  

1996 ◽  
Vol 98 (8) ◽  
pp. 765-769 ◽  
Author(s):  
O. Bidault ◽  
M. Licheron ◽  
E. Husson ◽  
G. Calvarin ◽  
A. Morell

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