Juan Arroyo

Universal Criticality and Finite-Size Scaling in Arithmetic Tensor Networks: Empirical Validation of the GUE Limit and the ν ≈ 2/3 Topological Phase

This upload contains the pre-print manuscript and supporting figures for the paper: "Universal Criticality and Finite-Size Scaling in Arithmetic Tensor Networks: Empirical Validation of the GUE Limit and the $\nu \approx 2/3$ Topological Phase" (PROMETEO-PRIME Part II). Abstract:...

Approximation of the Riemann Zeta Function via MERA Tensor Networks: A Study of Convergence and Error Bounds Based on Mellin Operators

This paper presents a novel computational framework that maps the analytic continuation of the Riemann Zeta function $\zeta(s)$ in the critical strip $0 < \Re(s) < 1$ onto Multiscale Entanglement Renormalization Ansatz (MERA) tensor networks via the Dirichlet Eta function $\eta(s...