3 papers
q-bio.NC2025
Allometric scaling of brain activity explained by avalanche criticality
Tiago S. A. N. Simões, José S. Andrade, Hans J. Herrmann +2
Allometric scaling laws, such as Kleiber's law for metabolic rate, highlight how efficiency emerges with size across living systems. The brain, with its characteristic sublinear sc…
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2024
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…