45 citations · 122 across the 3 of their papers we have counts for
4 papers
Transport and dynamics on open quantum graphs
Felipe Barra, Pierre Gaspard
We study the classical limit of quantum mechanics on graphs by introducing a Wigner function for graphs. The classical dynamics is compared to the quantum dynamics obtained from th…
Laplacian Growth and Diffusion Limited Aggregation: different universality classes
Felipe Barra, Benny Davidovitch, Anders Levermann +1
It had been conjectured that Diffusion Limited Aggregates and Laplacian Growth patterns (with small surface tension) are in the same universality class. Using iterated conformal ma…
On the level spacing distribution in quantum graphs
F. Barra, P. Gaspard
We derive a formula for the level spacing probability distribution in quantum graphs. We apply it to simple examples and we discuss its relation with previous work and its possible…
Classical dynamics on graphs
F. Barra, P. Gaspard
We consider the classical evolution of a particle on a graph by using a time-continuous Frobenius-Perron operator which generalizes previous propositions. In this way, the relaxati…