Monte Carlo investigation of an atom laser with a modulated quasi-one-dimensional cavity

1997 ◽  
Vol 44 (10) ◽  
pp. 1815-1825 ◽  
Author(s):  
M. G. Moore ◽  
P. Meystre
1983 ◽  
Vol 27 (3) ◽  
pp. 1922-1924 ◽  
Author(s):  
Alain S. Karma ◽  
Michael J. Nolan

Author(s):  
Shawn Komar ◽  
Jennifer Theakston ◽  
Douglas J. Brown ◽  
Chet Robie

2021 ◽  
Vol 24 (1) ◽  
pp. 112-136
Author(s):  
Elvira Di Nardo ◽  
Federico Polito ◽  
Enrico Scalas

Abstract This paper is devoted to a fractional generalization of the Dirichlet distribution. The form of the multivariate distribution is derived assuming that the n partitions of the interval [0, Wn ] are independent and identically distributed random variables following the generalized Mittag-Leffler distribution. The expected value and variance of the one-dimensional marginal are derived as well as the form of its probability density function. A related generalized Dirichlet distribution is studied that provides a reasonable approximation for some values of the parameters. The relation between this distribution and other generalizations of the Dirichlet distribution is discussed. Monte Carlo simulations of the one-dimensional marginals for both distributions are presented.


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