184 citations · 328 across the 9 of their papers we have counts for
5 papers · 1 filter
Loewner Evolution for Critical Invasion Percolation Tree
Leidy M. L. Abril, André A. Moreira, José S. Andrade +1
Extending the Schramm--Loewner Evolution (SLE) to model branching structures while preserving conformal invariance and other stochastic properties remains a formidable research cha…
Coastlines violate the Schramm-Loewner Evolution
Leidy M. L. Abril, Erneson A. Oliveira, André A. Moreira +2
Mandelbrot's empirical observation that the coast of Britain is fractal has been confirmed by many authors, but it can be described by the Schramm--Loewner Evolution? Since the sel…
Complex networks from space-filling bearings
J. J. Kranz, N. A. M. Araújo, J. S. Andrade +1
Two dimensional space-filling bearings are dense packings of disks that can rotate without slip. We consider the entire first family of bearings for loops of size four and propose…
Thermostatistics of overdamped motion of interacting particles
J. S. Andrade, G. F. T. da Silva, A. A. Moreira +2
We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics simulations, that the overdamped motion of interacting particles at T=0, where T is the tempe…
A Hamiltonian approach for explosive percolation
A. A. Moreira, E. A. Oliveira, S. D. S. Reis +2
We introduce a cluster growth process that provides a clear connection between equilibrium statistical mechanics and an explosive percolation model similar to the one recently prop…