63 citations · 230 across the 13 of their papers we have counts for
10 papers · 1 filter
Dynamically accelerated cover times
Gcina Maziya, Luca Cocconi, Gunnar Pruessner +1
Among observables characterising the random exploration of a graph or lattice, the cover time, namely the time to visit every site, continues to attract widespread interest. Much i…
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…
Percolation on trees as a Brownian excursion: from Gaussian to Kolmogorov-Smirnov to Exponential statistics
Francesc Font-Clos, Nicholas R. Moloney
We calculate the distribution of the size of the percolating cluster on a tree in the subcritical, critical and supercritical phase. We do this by exploiting a mapping between cont…
Analysis of an information-theoretic model for communication
Ronald Dickman, Nicholas R. Moloney, Eduardo G. Altmann
We study the cost-minimization problem posed by Ferrer i Cancho and Solé in their model of communication that aimed at explaining the origin of Zipf's law [PNAS 100, 788 (2003)]. D…
Finite-size scaling in extreme statistics
G. Gyorgyi, N. R. Moloney, K. Ozogany +1
We study the convergence and shape correction to the limit distributions of extreme values due to the finite size (FS) of data sets. A renormalization method is introduced for the…
Comment on: "Superscaling of Percolation on Rectangular Domains"
Gunnar Pruessner, Nicholas R. Moloney
In [Watanabe et al., Phys. Rev. Lett. 93 190601 (2004)], the authors show numerically that spanning and percolation probabilities in two-dimensional systems with different aspect r…