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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 application inâ€¦ (More)

- Felipe Barra, Benny Davidovitch, Itamar Procaccia
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

The method of iterated conformal maps for the study of diffusion limited aggregates (DLA) is generalized to the study of Laplacian growth patterns and related processes. We emphasize the fundamentalâ€¦ (More)

- Felipe Barra, H. George E. Hentschel, Anders Levermann, Itamar Procaccia
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We study the geometrical characteristic of quasistatic fractures in brittle media, using iterated conformal maps to determine the evolution of the fracture pattern. This method allows an efficientâ€¦ (More)

- Felipe Barra, Thomas Gilbert, Mauricio Romo
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

We study the dynamics of classical particles in different classes of spatially extended self-similar systems, consisting of (i) a self-similar Lorentz billiard channel, (ii) a self-similar graph, andâ€¦ (More)

- Felipe Barra
- Scientific reports
- 2015

The laws of thermodynamics put limits to the efficiencies of thermal machines. Analogues of these laws are now established for quantum engines weakly and passively coupled to the environmentâ€¦ (More)

- Felipe Barra, Anders Levermann, Itamar Procaccia
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

The method of iterated conformal maps is developed for quasistatic fracture of brittle materials, for all modes of fracture. Previous theory, that was relevant for mode III only, is extended here toâ€¦ (More)

- Felipe Barra, Andres Caru, +4 authors Nicolas Mujica
- I. J. Bifurcation and Chaos
- 2009

Dislocations in a material will, when present in enough numbers, change the speed of propagation of elastic waves. Consequently, two material samples, differing only in dislocation density, will haveâ€¦ (More)

- Felipe Barra, Pierre Gaspard, Thomas Gilbert
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Galton boards are models of deterministic diffusion in a uniform external field, akin to driven periodic Lorentz gases, here considered in the absence of dissipation mechanism. Assuming a cylindricalâ€¦ (More)

- Felipe Barra, Pierre Gaspard, Thomas Gilbert
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2009

Deterministic diffusive systems, such as the periodic Lorentz gas, multibaker map, as well as spatially periodic systems of interacting particles, have nonequilibrium stationary states with fractalâ€¦ (More)

- Felipe Barra, Benny Davidovitch, A. Levermann, Itamar Procaccia
- Physical review letters
- 2001

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 maps we construct aâ€¦ (More)