Monte Carlo investigation of the one-dimensional dynamical Potts model

1983 ◽  
Vol 27 (3) ◽  
pp. 1922-1924 ◽  
Author(s):  
Alain S. Karma ◽  
Michael J. Nolan
Keyword(s):  
Monte Carlo ◽  
Potts Model ◽  
One Dimensional ◽  
Monte Carlo Investigation ◽  
The One

scholarly journals A fractional generalization of the dirichlet distribution and related distributions

2021 ◽  
Vol 24 (1) ◽  
pp. 112-136
Author(s):  
Elvira Di Nardo ◽  
Federico Polito ◽  
Enrico Scalas
Keyword(s):  
Monte Carlo ◽  
Probability Density Function ◽  
Monte Carlo Simulations ◽  
Probability Density ◽  
Dirichlet Distribution ◽  
One Dimensional ◽  
Reasonable Approximation ◽  
Generalized Dirichlet Distribution ◽  
The One ◽  
Generalized Dirichlet

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.

Quantum Monte Carlo study of the one-dimensional extended Hubbard Hamiltonian

1991 ◽  
Vol 43 (1-2) ◽  
pp. 3531-3534 ◽  
Author(s):  
W.R Somsky ◽  
D.K Campbell ◽  
H.-Q Lin ◽  
X Wang ◽  
J.E Gubernatis
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
One Dimensional ◽  
Hubbard Hamiltonian ◽  
The One ◽  
Extended Hubbard Hamiltonian
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