37 citations · 47 across the 12 of their papers we have counts for
14 papers
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…
Entropy-production fluctuation theorem for a generalized Langevin particle in crossed electric and magnetic fields
L. C. González-Morales, I. Pérez Castillo, J. I. Jiménez-Aquino
We study fluctuations of entropy production for a charged Brownian particle confined in a harmonic trap and driven out of equilibrium by crossed electric and magnetic fields. The m…
A forced thermal ratchet in a memory heat bath
O. Contreras-Vergara, N. Sánchez-Salas, I. Pérez Castillo +1
The present work studies a non-Markovian forced thermal ratchet model on an asymmetric periodic potential. The Brownian dynamics is described by a generalized Langevin equation wit…
A smooth transition towards a Tracy-Widom distribution for the largest eigenvalue of interacting -body fermionic Embedded Gaussian Ensembles
Ernesto Carro, Luis Benet, Isaac Pérez Castillo
In spite of its simplicity, the central limit theorem captures one of the most outstanding phenomena in mathematical physics, that of universality. While this classical result is w…
Roadmap for Optical Tweezers
Giovanni Volpe, Onofrio M. Maragò, Halina Rubinzstein-Dunlop +80
Optical tweezers are tools made of light that enable contactless pushing, trapping, and manipulation of objects ranging from atoms to space light sails. Since the pioneering work b…
Spectral properties of the generalized diluted Wishart ensemble
Isaac Pérez Castillo
The celebrated Marčenko-Pastur law, that considers the asymptotic spectral density of random covariance matrices, has found a great number of applications in physics, biology, econ…
Reunion probabilities of one-dimensional random walkers with mixed boundary conditions
Isaac Pérez Castillo, Thomas Dupic
In this work we extend the results of the reunion probability of one-dimensional random walkers to include mixed boundary conditions between their trajectories. The level of th…
Analytic solution of attractor neural networks on scale-free graphs
I. Pérez Castillo, B. Wemmenhove, J. P. L. Hatchett +3
We study the influence of network topology on retrieval properties of recurrent neural networks, using replica techniques for diluted systems. The theory is presented for a network…