378 citations · 1.5k across the 36 of their papers we have counts for
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Correlation functions in conformal invariant stochastic processes
Francisco C. Alcaraz, Vladimir Rittenberg
We consider the problem of correlation functions in the stationary states of one-dimensional stochastic models having conformal invariance. If one considers the space dependence of…
Shared information in classical mean-field models
Or Cohen, Vladimir Rittenberg, Tridib Sadhu
Universal scaling of entanglement estimators of critical quantum systems has drawn a lot of attention in the past. Recent studies indicate that similar universal properties can be…
Stochastic processes with Z_N symmetry and complex Virasoro representations. The partition functions
Francisco C. Alcaraz, Pavel Pyatov, Vladimir Rittenberg
In a previous Letter (J. Phys. A v.47 (2014) 212003) we have presented numerical evidence that a Hamiltonian expressed in terms of the generators of the periodic Temperley-Lieb alg…
Cyclic representations of the periodic Temperley Lieb algebra, complex Virasoro representations and stochastic processes
Francisco C. Alcaraz, Arum Ram, Vladimir Rittenberg
An -dimensional representation of the periodic Temperley-Lieb algebra is presented. It is also a representation of the cyclic group . We choos…
Nonlocal Asymmetric exclusion process on a ring and conformal invariance
Francisco C. Alcaraz, Vladimir Rittenberg
We present a one-dimensional nonlocal hopping model with exclusion on a ring. The model is related to the Raise and Peel growth model. A nonnegative parameter controls the rati…
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…