66 citations · 172 across the 5 of their papers we have counts for
3 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…
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…