4 papers
On the Lyapunov exponent for the random field Ising transfer matrix, in the critical case
Orphée Collin, Giambattista Giacomin, Rafael L. Greenblatt +1
We study the top Lyapunov exponent of a product of random matrices appearing in the analysis of several statistical mechanical models with disorder, extending a previo…
The scaling limit of boundary spin correlations in non-integrable Ising models
Giulia Cava, Alessandro Giuliani, Rafael Leon Greenblatt
We consider a class of non-integrable 2D Ising models obtained by perturbing the nearest-neighbor model via a weak, finite range potential which preserves translation and spin-flip…
The boundary disorder correlation for the Ising model on a cylinder
Rafael Leon Greenblatt
I give an expression for the correlation function of disorder insertions on the edges of the critical Ising model on a cylinder as a function of the aspect ratio (rescaled in the c…
Product Measure Steady States of Generalized Zero Range Processes
R. L. Greenblatt, J. L. Lebowitz
We establish necessary and sufficient conditions for the existence of factorizable steady states of the Generalized Zero Range Process. This process allows transitions from a site…