Finite Size Effects for the Dilute Coupling Derrida Model

TL;DR

This paper investigates finite size effects in the dilute coupling Derrida model across different phases, revealing extremal suppression of decoding error probability near the critical connectivity at zero temperature.

Contribution

It provides new insights into how finite size effects behave in the Derrida model, especially near critical points at zero temperature.

Findings

Finite size effects are extremally suppressed near critical connectivity at T=0.

Different phases (paramagnetic, spin-glass, ferromagnetic) exhibit distinct finite size behaviors.

Suppression of decoding error probability is significant near the critical point.

Abstract

We consider paramagnetic, spin-glass and ferromagnetic phases. At $T=0$ model gives for the some values of connectivity (near the critical) extremal suppression of finite size effects (decoding error probability).