Dynamical Generators of Lévy Statistics in Biology

1998 ◽  
pp. 17-29
Author(s):  
B. J. West ◽  
P. Allegrini ◽  
P. Grigolini
Keyword(s):  
Lévy Statistics

Lévy statistics in a Hamiltonian system

1994 ◽  
Vol 49 (6) ◽  
pp. 4873-4877 ◽  
Author(s):  
J. Klafter ◽  
G. Zumofen
Keyword(s):  
Hamiltonian System ◽  
Lévy Statistics

scholarly journals Lévy Statistics and the Glassy Behavior of Light in Random Fiber Lasers

2017 ◽  
Vol 7 (7) ◽  
pp. 644 ◽  
Author(s):  
Cid Araújo ◽  
Anderson Gomes ◽  
Ernesto Raposo
Keyword(s):  
Fiber Lasers ◽  
Glassy Behavior ◽  
Lévy Statistics

scholarly journals Nonergodicity of a Time Series Obeying Lévy Statistics

2006 ◽  
Vol 122 (1) ◽  
pp. 137-167 ◽  
Author(s):  
Gennady Margolin ◽  
Eli Barkai
Keyword(s):  
Time Series ◽  
Lévy Statistics

scholarly journals LÉVY STATISTICAL FLUCTUATIONS FROM A RANDOM AMPLIFYING MEDIUM

2006 ◽  
Vol 06 (01) ◽  
pp. L95-L101 ◽  
Author(s):  
DIVYA SHARMA ◽  
HEMA RAMACHANDRAN ◽  
N. KUMAR
Keyword(s):  
Emission Intensity ◽  
Experimental Realization ◽  
Fat Tail ◽  
Statistical Fluctuations ◽  
Gaussian Statistics ◽  
Lévy Statistics ◽  
Non Gaussian

We report our studies of emission from a dye-scatterer system, commonly known as random amplifying medium (RAM). It is found to exhibit non-Gaussian statistics of emission intensity over the ensemble of random realizations. The amplification is dominated by certain improbable events that are "larger than rare", which give the intensity statistics a Lévy-like fat tail. This, to the best of our knowledge, provides the first experimental realization of the Lévy statistics in the optics of a random amplifying medium, and the analysis thereof. Notably, the Lévy exponent is continuously tunable parametrically.

Observation of Lévy statistics in one-dimensional erbium-based random fiber laser

2017 ◽  
Vol 34 (2) ◽  
pp. 293 ◽  
Author(s):  
Bismarck C. Lima ◽  
Anderson S. L. Gomes ◽  
Pablo I. R. Pincheira ◽  
André L. Moura ◽  
Mathieu Gagné ◽  
...  
Keyword(s):  
Fiber Laser ◽  
One Dimensional ◽  
Lévy Statistics
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