37 citations · 47 across the 12 of their papers we have counts for
7 papers · 1 filter
Replica theory for the rate functional of the empirical spectral distribution function of diluted Hermitian matrices
Edgar Guzmán-González, Isaac Pérez Castillo
We develop a replica-based framework for the scaled cumulant-generating functional of the empirical spectral distribution function of diluted Hermitian random matrices. Withi…
Statistical Mechanics of Random Matrices
Isaac Pérez Castillo
These lecture notes are based on the lectures on \emph{Statistical Mechanics of Random Matrices} delivered at the Spring College on the Physics of Complex Systems, held at the Abdu…
Dynamical cavity method for continuous-time complex systems on sparse random graphs
Fernando L. Metz, Isaac Pérez Castillo
Dynamical mean-field theory (DMFT) reduces dense high-dimensional disordered dynamics to a self-consistent effective stochastic process. For sparse and heterogeneous networks, howe…
Benchmarking a restricted Boltzmann machine on the Bose-Hubbard chain in the adiabatic hard-core regime
Gustavo Alejandro Avalos Valentín, Roman Josué Armenta Rico, Isaac Pérez Castillo
We study the ground state of the Bose-Hubbard chain in the adiabatic hard-core limit at half filling using variational Monte Carlo with a shallow restricted Boltzman…
Experiments, Computability, and the Existence of Physical Functions
Isaac Pérez Castillo
Experimental science usually relies on laboratory procedures that, after finitely many steps, terminate with numerical reports on physical quantities. This paper argues that such p…
Beyond Whittle: exact finite-time multispectral statistics from a single Brownian trajectory in a harmonic trap
Isaac Pérez Castillo, François Leyvraz, Miguel Eduardo Gómez Quintanar +1
Power spectral densities are often interpreted through ensemble averages and long-time asymptotics. In many experiments, however, only a single finite record is available, so spect…
Active Learning vs Traditional Lecturing in Introductory Mechanics: A Pooled Pass-Rate Benchmark Under Common Departmental Assessments from a Latin American Institutional Change Initiative
Isaac Pérez Castillo, Lidia Jiménez Lara, Orlando Guzman +6
Improving student success in introductory physics remains a persistent challenge despite substantial progress from research-based instructional practices. Evidence from the Latin A…