378 citations · 1.5k across the 36 of their papers we have counts for
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cond-mat.stat-mech2001★ 24 cited
Critical Q=1 Potts Model and Temperley-Lieb Stochastic Processes
Paul A. Pearce, Vladimir Rittenberg, Jan de Gier
We consider the groundstate wave function and spectra of the -site XXZ invariant quantum spin chain with . This chain is related to the critical Q=…
cond-mat.stat-mech2001★ 61 cited
Diffusion algebras
A. P. Isaev, P. N. Pyatov, V. Rittenberg
We define the notion of "diffusion algebras". They are quadratic Poincare-Birkhoff-Witt (PBW) algebras which are useful in order to find exact expressions for the probability distr…
cond-mat.stat-mech2001
Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: II. The Charged System and the Two-component Burgers Equations
Peter F. Arndt, Vladimir Rittenberg
We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop…