publication . Article . Preprint . 2014

Finite-size scaling of survival probability in branching processes

Rosalba Garcia-Millan; Francesc Font-Clos; Álvaro Corral;
Open Access English
  • Published: 11 Nov 2014
Branching processes pervade many models in statistical physics. We investigate the survival probability of a Galton-Watson branching process after a finite number of generations. We reveal the finite-size scaling law of the survival probability for a given branching process ruled by a probability distribution of the number of offspring per element whose standard deviation is finite, obtaining the exact scaling function as well as the critical exponents. Our findings prove the universal behavior of branching processes concerning the survival probability.
Persistent Identifiers
free text keywords: Matemàtiques, 51 - Matemàtiques, Statistics and Probability, Statistical and Nonlinear Physics, Condensed Matter Physics, Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks, Critical point (thermodynamics), Percolation, Branching process, Statistical physics, Combinatorics, Scaling, Mathematics, Finite set, Probability distribution, Universality (philosophy), Critical exponent
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