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Eduardo Gueron

Publications and source records attributed to Eduardo Gueron.

7 recordsLinked to original sources
arXiv2026

Modular Aggregation as a Debiasing Method for Non-Stationary Discrete Sources: Convergence and Numerical Validatio

We analyze \emph{modular aggregation}---summing $N$ independent outcomes modulo $m$---as a post-processing method for extracting nearly uniform randomness from biased discrete sources. Using discrete Fourier analysis over the cyclic group $\mathbb{Z}_m$, we prove exponential convergence of the output distribution to uniformity, with a rate determined by the largest non-trivial Fourier modulus. The result applies to independent non-stationary (non-IID) sources under a uniform spectral-gap condition on the non-trivial Fourier modes. Numerical simulations under several bias regimes, including cyclic drift and extreme cyclic bias, are used as finite-sample diagnostics and illustrate the theoretical predictions in comparison with Peres extraction and SHA-256 post-processing. The robustness of modular aggregation comes at a retention cost of order $1/N$, yielding an explicit trade-off between statistical quality and throughput.

physics.data-an↗
arXiv2007

The relativistic glider

We present a purely relativistic effect according to which asymmetric oscillations of a quasi-rigid body slow down or accelerate its fall in a gravitational background.

gr-qc↗
arXiv2006

"Swimming" versus "swinging" in spacetime

Wisdom has recently unveiled a new relativistic effect, called ``spacetime swimming'', where quasi-rigid free bodies in curved spacetimes can "speed up", "slow down" or "deviate" their falls by performing "local" cyclic shape deformations. We show here that for fast enough cycles this effect dominates over a non-relativistic related one, named here ``space swinging'', where the fall is altered through "nonlocal" cyclic deformations in Newtonian gravitational fields. We expect, therefore, to clarify the distinction between both effects leaving no room to controversy. Moreover, the leading contribution to the swimming effect predicted by Wisdom is enriched with a higher order term and the whole result is generalized to be applicable in cases where the tripod is in large red-shift regions.

gr-qc↗
arXiv2005

A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance

A Hamiltonian that approaches the study of the three-body problem in general relativity is obtained. We use it to study the relativistic version of the circular restricted three-body problem in which the first body is the heaviest and the third body is a test-particle. We focus on the orbits around the 3:2 resonance. We show that, in spite of the notable difference between the relativistic and Newtonian orbits, most of the resonant region is preserved. Nevertheless, differently from the Newtonian case, the frequencies between the second and the third body are no longer commensurable.

astro-ph↗
arXiv2003

Interacting Geodesics: Binary Systems around a Black Hole

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry given by the main source. We apply the technique in the of study two and three self-gravitating particles moving around a black hole, i.e., in a Schwarzschild geometry. We also compare with the equivalent Newtonian problem and noted differences in the structural stability, e.g., binary systems were found only in the general relativistic approach.

astro-ph↗
arXiv2001

Stability and chaos around multipolar deformed bodies: A general relativistic approach

The exact solution to the Einstein equations that represents a static axially symmetric source deformed by an internal quadrupole is considered. By using the Poincare section method we numerically study the geodesic motion of test particles. For the prolate quadrupolar deformations we found chaotic motions contrary to the oblate case where only regular motion is found. We also study the metric that represents a rotating black hole deformed by a quadrupolar term. This metric is obtained as a two soliton solution in the context of Belinsky--Zakharov inverse scattering method. The stability of geodesics depends strongly on the relative direction of the spin of the center of attraction and the test particle angular momentum. The rotation does not alter the regularity of geodesic motions in the oblate case, i.e., the orbits in this case remain regular. We also employ the method of Lyapounov characteristic numbers to examine the stability of orbits evolving around deformed nonrotating centers of attraction. The typical time to observe instability of orbits is analyzed.

astro-ph↗