5 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…
Constructing a weakly-interacting fixed point of the Fermionic Polchinski equation
Rafael Leon Greenblatt
I rigorously prove the existence of a nontrivial fixed point of a family of continuous renormalization group flows corresponding to certain weakly interacting Fermionic quantum fie…
On the spin interface distribution for non-integrable variants of the two-dimensional Ising model
Rafael L. Greenblatt, Eveliina Peltola
We point out that the construction of a martingale observable describing the spin interface of the two-dimensional Ising model extends to a class of non-integrable variants of the…