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pro vyhledávání: '"GONZÁLEZ, DAVID"'
The growing importance of real-time simulation in the medical field has exposed the limitations and bottlenecks inherent in the digital representation of complex biological systems. This paper presents a novel methodology aimed at advancing current l
Externí odkaz:
http://arxiv.org/abs/2412.12034
In this article, we claim that axion-like particles (ALPs) with MeV masses can be produced with semi-relativistic velocities in core-collapse supernovae (SNe), generating a diffuse galactic flux. We show that these ALPs can be detected in neutrino wa
Externí odkaz:
http://arxiv.org/abs/2412.09595
We demonstrate that any $\Pi_\alpha$ sentence of the infinitary logic $L_{\omega_1 \omega}$ extending the theory of linear orderings has a model with a $\Pi_{\alpha+4}$ Scott sentence and hence of Scott rank at most $\alpha+3$. In other words, the ga
Externí odkaz:
http://arxiv.org/abs/2411.12084
Autor:
Tierz, Alicia, Iparraguirre, Mikel M., Alfaro, Iciar, Gonzalez, David, Chinesta, Francisco, Cueto, Elias
We explore the feasibility of foundation models for the simulation of physical phenomena, with emphasis on continuum (solid and fluid) mechanics. Although so-called learned simulators have shown some success when applied to specific tasks, it remains
Externí odkaz:
http://arxiv.org/abs/2410.14645
Autor:
Gonzalez, David
We introduce a new way of encoding general topology in second order arithmetic that we call hybrid maximal filter (hybrid MF) spaces. This notion is a modification of the notion of a proper MF space introduced by Montalb\'an. We justify the shift by
Externí odkaz:
http://arxiv.org/abs/2406.01840
For any limit ordinal $\lambda$, we construct a linear order $L_\lambda$ whose Scott complexity is $\Sigma_{\lambda+1}$. This completes the classification of the possible Scott sentence complexities of linear orderings. Previously, there was only one
Externí odkaz:
http://arxiv.org/abs/2406.01836
We perform microscopic simulations of the thermal relaxation of warm neutral plasmas of astrophysical importance. Using Molecular Dynamics we study the thermal relaxation of a hot neutral fluid of finite-size neutron-rich ions kept in a fixed-wall co
Externí odkaz:
http://arxiv.org/abs/2406.01700
Thermodynamics-informed neural networks employ inductive biases for the enforcement of the first and second principles of thermodynamics. To construct these biases, a metriplectic evolution of the system is assumed. This provides excellent results, w
Externí odkaz:
http://arxiv.org/abs/2405.13093
The development of inductive biases has been shown to be a very effective way to increase the accuracy and robustness of neural networks, particularly when they are used to predict physical phenomena. These biases significantly increase the certainty
Externí odkaz:
http://arxiv.org/abs/2404.01060
We investigate the descriptive complexity of the set of models of first-order theories. Using classical results of Knight and Solovay, we give a sharp condition for complete theories to have a $\boldsymbol\Pi_\omega^0$-complete set of models. We also
Externí odkaz:
http://arxiv.org/abs/2402.10029