66 citations · 172 across the 5 of their papers we have counts for
5 papers
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…
Fracturing the optimal paths
J. S. Andrade, E. A. Oliveira, A. A. Moreira +1
Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagat…
Different topologies for a herding model of opinion
V. Schwammle, M. C. Gonzalez, A. A. Moreira +2
Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among in…