MULTIPLICATIVE PROCESSES OF MULTIPARTICLE PRODUCTION AND LOGARITHMIC MOMENTS

1990 ◽  
Vol 05 (04) ◽  
pp. 281-284
Author(s):  
I.M. DREMIN
Keyword(s):  
Branching Process ◽  
Multiparticle Production ◽  
Factorial Moments ◽  
Logarithmic Moments ◽  
Multiplicative Processes

The study of the dependence of the logarithmic moments on the rapidity bin width is advocated. It provides the typical details of the ensemble while usual (or factorial) moments are dominated by several rare configurations in it if multiparticle production is treated as a branching process.

MULTIPLICATIVE PROCESSES OF MULTIPARTICLE PRODUCTION AND LOGARITHMIC MOMENTS

1989 ◽  
Vol 04 (27) ◽  
pp. 2685-2688 ◽  
Author(s):  
I.M. DREMIN
Keyword(s):  
Branching Process ◽  
Multiparticle Production ◽  
Factorial Moments ◽  
Logarithmic Moments ◽  
Multiplicative Processes

The study of the dependence of the logarithmic moments on the rapidity bin width is advocated. It provides the typical details of the ensemble while usual (or factorial) moments are dominated by several rare configurations in it if multiparticle production is treated as a branching process.

INTERMITTENCY-GENERATING CASCADE MODEL OF MULTIPARTICLE PRODUCTION WITH PARTICLE NUMBER CONSERVATION

1991 ◽  
Vol 06 (13) ◽  
pp. 1203-1210 ◽  
Author(s):  
A.V. LEONIDOV ◽  
M.M. TSYPIN
Keyword(s):  
Particle Number ◽  
Multiplicity Distribution ◽  
Cascade Model ◽  
Multiparticle Production ◽  
Correlation Pattern ◽  
Factorial Moments ◽  
Number Conservation ◽  
Rapidity Interval ◽  
Particle Number Conservation

An intermittency-generating cascade model taking into account the conservation of particle number in the process of cascading is proposed. The model successfully describes the data on factorial moments by UA5 [Formula: see text] provided that we impose the correct multiplicity distribution in the total (pseudo)rapidity interval. At the same time the correlation pattern is not reproduced due to geometrical rigidity of the cascade.

Bounds for the extinction probability of a simple branching process

1976 ◽  
Vol 13 (01) ◽  
pp. 9-16 ◽  
Author(s):  
M. P. Quine
Keyword(s):  
Branching Process ◽  
Upper Bounds ◽  
Extinction Probability ◽  
Factorial Moments ◽  
Numerical Examples ◽  
Simple Bounds

The extinction probability q of a supercritical simple branching process is well known to be less than unity. Intuitively, it is apparent that when the offspring mean is close to one, so, usually, will q be. This notion is made rigorous, and simple bounds are given for q in terms of the second and third factorial moments, which are applicable when the offspring mean is close to unity. A comparison is made of various upper bounds for q. The note contains some numerical examples.

Bounds for the extinction probability of a simple branching process

1976 ◽  
Vol 13 (1) ◽  
pp. 9-16 ◽  
Author(s):  
M. P. Quine
Keyword(s):  
Branching Process ◽  
Upper Bounds ◽  
Extinction Probability ◽  
Factorial Moments ◽  
Numerical Examples ◽  
Simple Bounds

The extinction probability q of a supercritical simple branching process is well known to be less than unity. Intuitively, it is apparent that when the offspring mean is close to one, so, usually, will q be. This notion is made rigorous, and simple bounds are given for q in terms of the second and third factorial moments, which are applicable when the offspring mean is close to unity. A comparison is made of various upper bounds for q. The note contains some numerical examples.

Some Contributions to the Theory of Near-Critical Bisexual Branching Processes

2007 ◽  
Vol 44 (02) ◽  
pp. 492-505
Author(s):  
M. Molina ◽  
M. Mota ◽  
A. Ramos
Keyword(s):  
Branching Process ◽  
Branching Processes ◽  
Sufficient Conditions ◽  
Positive Probability ◽  
Limit Laws ◽  
Bisexual Branching Processes ◽  
Probabilistic Evolution

We investigate the probabilistic evolution of a near-critical bisexual branching process with mating depending on the number of couples in the population. We determine sufficient conditions which guarantee either the almost sure extinction of such a process or its survival with positive probability. We also establish some limiting results concerning the sequences of couples, females, and males, suitably normalized. In particular, gamma, normal, and degenerate distributions are proved to be limit laws. The results also hold for bisexual Bienaymé–Galton–Watson processes, and can be adapted to other classes of near-critical bisexual branching processes.

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