# Real space renormalization group for Ising Spin Glass and other glassy models. I. Disordered Ising model. General formalism

## TL;DR

This paper applies real-space renormalization group techniques to analyze the thermodynamic and probabilistic properties of disordered Ising models, providing a formalism for understanding glassy systems.

## Contribution

It introduces a formalism using real-space renormalization group for disordered Ising models, focusing on thermodynamic and correlation properties.

## Key findings

- Analysis of thermodynamic properties of disordered Ising models.
- Probabilistic analysis of pair correlators in disordered systems.
- Application of Migdal-Kadanoff scheme to glassy models.

## Abstract

Here is the first part of the summary of my work on random Ising model using real-space renormalization group (RSRG), also known as a Migdal-Kadanoff one. This approximate renormalization scheme was applied to the analysis thermodynamic properties of the model, and of probabilistic properties of a pair correlator, which is a fluctuating object in disordered systems. PACS numbers: 02.50.-r, 05.20.-y, 05.70.Fh, 64.60.ae, 75.10.-b, 75.10.Hk, 87.10.+e Keywords: statistical physics, magnetism, spin glass, neural networks