60 citations · 142 across the 9 of their papers we have counts for
9 papers
Quasi-stationary states in nonlocal stochastic growth models with infinitely many absorbing states
D. A. C. Jara, F. C. Alcaraz
We study a two parameter () extension of the conformally invariant raise and peel model. The model also represents a nonlocal and biased-asymmetric exclusion process with loca…
The spectral gap and the dynamical critical exponent of an exact solvable probabilistic cellular automaton
M. J. Lazo, A. A. Ferreira, F. C. Alcaraz
We obtained the exact solution of a probabilistic cellular automaton related to the diagonal-to-diagonal transfer matrix of the six-vertex model on a square lattice. The model desc…
Two-component abelian sandpile models
F. C. Alcaraz, P. Pyatov, V. Rittenberg
In one-component abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multi-component models. The condition of associativity of t…
Directed abelian algebras and their applications to stochastic models
Francisco C. Alcaraz, Vladimir Rittenberg
To each directed acyclic graph (this includes some D-dimensional lattices) one can associate some abelian algebras that we call directed abelian algebras (DAA). On each site of the…
The pair annihilation reaction D + D --> 0 in disordered media and conformal invariance
F. C. Alcaraz, V. Rittenberg
The raise and peel model describes the stochastic model of a fluctuating interface separating a substrate covered with clusters of matter of different sizes, and a rarefied gas of…
Valence bond ground states in quantum antiferromagnets and quadratic algebras
F. C. Alcaraz, V. Rittenberg
The wave functions corresponding to the zero energy eigenvalue of a one-dimensional quantum chain Hamiltonian can be written in a simple way using quadratic algebras. Hamiltonians…