Hernán Larralde
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View article: From anomalous diffusion in polygons to a transport locking relation
From anomalous diffusion in polygons to a transport locking relation Open
We study particle transport in a class of open channels of finite length, made of identical cells of connected open polygonal billiards with parallel boundaries. In these systems the Mean Square Displacement (MSD) grows in time faster than…
View article: Spectra and transport of probability and energy densities in a $\mathcal{PT}$-symmetric square well with a delta-function potential
Spectra and transport of probability and energy densities in a $\mathcal{PT}$-symmetric square well with a delta-function potential Open
We study the spectrum, eigenstates and transport properties of a simple $\mathcal{P}\mathcal{T}$-symmetric model consisting in a finite, complex, square well potential with a delta potential at the origin. We show that as the strength of t…
View article: On the energy density in quantum mechanics
On the energy density in quantum mechanics Open
There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity equation and integrate to the value of the expected energy of the system under consideration. T…
View article: Exact extreme, order and sum statistics in a class of strongly correlated system
Exact extreme, order and sum statistics in a class of strongly correlated system Open
Even though strongly correlated systems are abundant, only a few exceptional cases admit analytical solutions. In this paper we present a large class of solvable systems with strong correlations.. We consider a set of $N$ independent and i…
View article: On the energy density in quantum mechanics
On the energy density in quantum mechanics Open
There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity equation and integrate to the value of the expected energy of the system under consideration. T…
View article: Extreme Statistics and Spacing Distribution in a Brownian Gas Correlated by Resetting
Extreme Statistics and Spacing Distribution in a Brownian Gas Correlated by Resetting Open
We study a one-dimensional gas of N Brownian particles that diffuse independently, but are simultaneously reset to the origin at a constant rate r. The system approaches a nonequilibrium stationary state with long-range interactions induce…
View article: Dynamical properties of volume at the spread in the Bitcoin/USD market
Dynamical properties of volume at the spread in the Bitcoin/USD market Open
The study of order volumes in financial markets has shown that these display several non-trivial statistical properties. Most studies have been focused on the bulk properties of volume of incoming orders or of realized transactions rather …
View article: Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
Extreme statistics and spacing distribution in a Brownian gas correlated by resetting Open
We study a one-dimensional gas of $N$ Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate $r$. The system approaches a non-equilibrium stationary state (NESS) with long-range i…
View article: A machine learning model to identify corruption in México's public procurement contracts
A machine learning model to identify corruption in México's public procurement contracts Open
The costs and impacts of government corruption range from impairing a country's economic growth to affecting its citizens' well-being and safety. Public contracting between government dependencies and private sector instances, referred to …
View article: Data Set of Public Procurement in México (2013-2020)
Data Set of Public Procurement in México (2013-2020) Open
This repository contains all data sets, manuals, and codes to reproduce the main results shown in the paper "A machine learning model to identify corruption in México's public procurement contracts (on revision in the Journal of Quantitati…
View article: Data Set of Public Procurement in México (2013-2020)
Data Set of Public Procurement in México (2013-2020) Open
This repository contains all data sets, manuals, and codes to reproduce the main results shown in the paper "A machine learning model to identify corruption in México's public procurement contracts (on revision in the Journal of Quantitati…
View article: Data Set of Public Procurement in México (2013-2020)
Data Set of Public Procurement in México (2013-2020) Open
This repository contains all data sets, manuals, and codes to reproduce the main results shown in the paper "Practices of public procurement and the risk of corrupt behavior before and after the government transition in México" (on revisio…
View article: Data Set of Public Procurement in México (2013-2020)
Data Set of Public Procurement in México (2013-2020) Open
This repository contains all data sets, manuals, and codes to reproduce the main results shown in the paper "Practices of public procurement and the risk of corrupt behavior before and after the government transition in México" (on revisio…
View article: Data Set of Public Procurement in México (2013-2020)
Data Set of Public Procurement in México (2013-2020) Open
This repository contains all data sets, manuals, and codes to reproduce the main results shown in the paper "Practices of public procurement and the risk of corrupt behavior before and after the government transition in México" (on revisio…
View article: Spectra, eigenstates and transport properties of a PT -symmetric ring
Spectra, eigenstates and transport properties of a PT -symmetric ring Open
We study, analytically and numerically, a simple -symmetric tight-binding ring with an onsite energy a at the gain and loss sites. We show that if a ≠ 0, the system generically exhibits an unbroken -symmetric phase. We study the natu…
View article: Practices of public procurement and the risk of corrupt behavior before and after the government transition in México
Practices of public procurement and the risk of corrupt behavior before and after the government transition in México Open
Corruption has a significant impact on economic growth, democracy, and inequality. It has severe consequences at the human level are incalculable. Public procurement, where public resources are used to purchase goods or services from the p…
View article: Spectra, eigenstates and transport properties of a $\mathcal{PT}$-symmetric ring
Spectra, eigenstates and transport properties of a $\mathcal{PT}$-symmetric ring Open
We study, analytically and numerically, a simple $\mathcal{PT}$-symmetric tight-binding ring with an onsite energy $a$ at the gain and loss sites. We show that if $a\neq 0$, the system generically exhibits an unbroken $\mathcal{PT}$-symmet…
View article: $\mathcal{PT}$-symmetric tight-binding chain with gain and loss: A completely solvable model
$\mathcal{PT}$-symmetric tight-binding chain with gain and loss: A completely solvable model Open
We present the analytical solution for the eigenvalues and eigenvectors of a $\mathcal{PT}$-symmetric tight-binding chain with gain and loss in a symmetric configuration. We show a simple method to predict the values of the parameters at w…
View article: Giant Catalytic Effect of Altruists in Schelling’s Segregation Model
Giant Catalytic Effect of Altruists in Schelling’s Segregation Model Open
We study the effect of introducing altruistic agents in a Schelling-like model of residential segregation. We find that even an infinitesimal proportion of altruists has dramatic catalytic effects on the collective utility of the system. A…
View article: Multiple scaling behaviour and nonlinear traits in music scores
Multiple scaling behaviour and nonlinear traits in music scores Open
We present a statistical analysis of music scores from different composers using detrended fluctuation analysis (DFA). We find different fluctuation profiles that correspond to distinct autocorrelation structures of the musical pieces. Fur…
View article: Stochastic resonance at criticality in a network model of the human cortex
Stochastic resonance at criticality in a network model of the human cortex Open
Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good cand…
View article: Multiple scaling behavior and nonlinear traits in music scores
Multiple scaling behavior and nonlinear traits in music scores Open
We present a statistical analysis of music scores from different composers using detrended fluctuation analysis. We find different fluctuation profiles that correspond to distinct auto-correlation structures of the musical pieces. Further,…
View article: Stochastic resonance and optimal information transfer at criticality on a network model of the human connectome
Stochastic resonance and optimal information transfer at criticality on a network model of the human connectome Open
Stochastic resonance is a phenomenon in which noise enhances the response of a system to an input signal. The brain is an example of a system that has to detect and transmit signals in a noisy environment, suggesting that it is a good cand…
View article: A detailed heterogeneous agent model for a single asset financial market with trading via an order book
A detailed heterogeneous agent model for a single asset financial market with trading via an order book Open
We present an agent based model of a single asset financial market that is capable of replicating most of the non-trivial statistical properties observed in real financial markets, generically referred to as stylized facts. In our model ag…
View article: Ballistic annihilation with superimposed diffusion in one dimension
Ballistic annihilation with superimposed diffusion in one dimension Open
We consider a one-dimensional system with particles having either positive or negative velocity, and these particles annihilate on contact. Diffusion is superimposed on the ballistic motion of the particle. The annihilation may represent a…