593 citations · 3k across the 64 of their papers we have counts for
4 papers · 1 filter
Power-law size distributions in geoscience revisited
Álvaro Corral, Álvaro González
The size or energy of diverse structures or phenomena in geoscience appears to follow power-law distributions. A rigorous statistical analysis of such observations is tricky, thoug…
Dependence of exponents on text length versus finite-size scaling for word-frequency distributions
Alvaro Corral, Francesc Font-Clos
Some authors have recently argued that a finite-size scaling law for the text-length dependence of word-frequency distributions cannot be conceptually valid. Here we give solid qua…
Finite-time scaling in local bifurcations
Alvaro Corral, Lluis Alseda, Josep Sardanyes
Finite-size scaling is a key tool in statistical physics, used to infer critical behavior in finite systems. Here we use the analogous concept of finite-time scaling to describe th…
Phase transition, scaling of moments, and order-parameter distributions in Brownian particles and branching processes with finite-size effects
Alvaro Corral, Rosalba Garcia-Millan, Nicholas R. Moloney +1
We revisit the problem of Brownian diffusion with drift in order to study finite-size effects in the geometric Galton-Watson branching process. This is possible because of an exact…