Zobrazeno 1 - 10
of 3 108
pro vyhledávání: '"P, Armengol"'
Autor:
Gasull, Armengol, Rojas, David
We prove that the period function of the center at the origin of the $\mathbb{Z}_k$-equivariant differential equation $\dot{z}=iz+a(z\overline{z})^nz^{k+1}, a\ne0,$ is monotonous decreasing for all $n$ and $k$ positive integers, solving a conjecture
Externí odkaz:
http://arxiv.org/abs/2411.12408
Quantum machine learning is an emergent field that continues to draw significant interest for its potential to offer improvements over classical algorithms in certain areas. However, training quantum models remains a challenging task, largely because
Externí odkaz:
http://arxiv.org/abs/2411.11954
Autor:
Armengol, Jan Mateu, Carnerero, Cristina, Rames, Clément, Criado, Álvaro, Borge-Holthoefer, Javier, Soret, Albert, Solé-Ribalta, Albert
Air pollution is a pressing environmental risk to public health, particularly in cities where population density and pollution levels are high. Traditional methods for exposure analysis often rely on census data, but recent studies highlight the impa
Externí odkaz:
http://arxiv.org/abs/2410.22015
This paper studies the number of centers and limit cycles of the family of planar quartic polynomial vector fields that has the invariant algebraic curve $(4x^2-1)(4y^2-1)=0.$ The main interest for this type of vector fields comes from their appearan
Externí odkaz:
http://arxiv.org/abs/2410.15354
Autor:
Cummins, Chris, Seeker, Volker, Armengol-Estapé, Jordi, Markosyan, Aram H., Synnaeve, Gabriel, Leather, Hugh
Tools for rewriting, refactoring and optimizing code should be fast and correct. Large language models (LLMs), by their nature, possess neither of these qualities. Yet, there remains tremendous opportunity in using LLMs to improve code. We explore th
Externí odkaz:
http://arxiv.org/abs/2410.08806
We consider the family of piecewise linear maps $$F_{a,b}(x,y)=\left(|x| - y + a, x - |y| + b\right),$$ where $(a,b)\in \mathbb{R}^2$. This family belongs to a wider one that has deserved some interest in the recent years as it provides a framework f
Externí odkaz:
http://arxiv.org/abs/2410.01052
Autor:
Bellón, Bárbara, Bhaskar, Lalith Kumar, Brink, Tobias, Aymerich-Armengol, Raquel, Sonawane, Dipali, Chatain, Dominique, Dehm, Gerhard, Ramachandramoorthy, Rajaprakash
Understanding the mechanical properties of metals at extreme conditions is essential for the advancement of miniaturized technologies. As dimensions decrease, materials will experience higher strain rates at the same applied velocities. Moreover, the
Externí odkaz:
http://arxiv.org/abs/2408.07462
Let $X$ be a planar smooth vector field with a polycycle $\Gamma^n$ with $n$ sides and all its corners, that are at most $n$ singularities, being hyperbolic saddles. In this paper we study the cyclicity of $\Gamma^n$ in terms of the hyperbolicity rat
Externí odkaz:
http://arxiv.org/abs/2407.20721
Autor:
Gasull, Armengol, Santana, Paulo
Let $\mathcal{H}(n)$ be the maximum number of limit cycles that a planar polynomial vector field of degree $n$ can have. In this paper we prove that $\mathcal{H}(n)$ is realizable by structurally stable vector fields with only hyperbolic limit cycles
Externí odkaz:
http://arxiv.org/abs/2407.13465
Quantum machine learning aims to improve learning methods through the use of quantum computers. If it is to ever realize its potential, many obstacles need to be overcome. A particularly pressing one arises at the prediction stage because the outputs
Externí odkaz:
http://arxiv.org/abs/2406.13812