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pro vyhledávání: '"Reis, Fernando P. P."'
In this paper, we address one of the most basic and fundamental problems in the theory of foliations and ODEs, the topological invariance of the algebraic multiplicity of a holomorphic foliation. For instance, we prove an adapted version of A'Campo-L
Externí odkaz:
http://arxiv.org/abs/2407.09306
We consider germs of holomorphic vector fields at the origin of $\mathbb{C}^3$, with non-isolated singularities that are tangent to a holomorphic foliation of codimension one. This configuration is known as a $2$-flag of foliations. The focus is on c
Externí odkaz:
http://arxiv.org/abs/2308.13370
This survey is the continuation of a series of works aimed at applying tools from Singularity Theory to Differential Equations. More precisely, we utilize the powerfull Milnor's Fibration Theory to give geometric-topological classifications of first
Externí odkaz:
http://arxiv.org/abs/2308.13359
Autor:
Lourenço, Fernando, Reis, Fernando
This is a survey paper dealing with holomorphic foliations, with emphasis on residue theory and its applications. We start recalling the definition of holomorphic foliations as a subsheaf of the tangent sheaf of a manifold. The theory of Characterist
Externí odkaz:
http://arxiv.org/abs/2302.03722
Autor:
Singhal, Ankit, Hanif, Sarmad, Bhattarai, Bishnu, Reis, Fernando B. dos, Reeve, Hayden, Pratt, Robert
The proliferation of electric vehicles (EVs) and their inherent flexibility in charging timings make them an asset to improve grid performance. In contrast to direct control by a utility or autonomous price-based charging, the transactive control fra
Externí odkaz:
http://arxiv.org/abs/2203.16516
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Autor:
Reis, Fernando, Scárdua, Bruno
We study under the standpoint of integrable complex analytic 1-forms (complex analytic foliations), a class of second order ordinary differential equations with periodic coefficients. More precisely, we study Hill's equations of motion of the moon, w
Externí odkaz:
http://arxiv.org/abs/1902.02927
Akademický článek
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Mobile phone data are an interesting new data source for official statistics. However, multiple problems and uncertainties need to be solved before these data can inform, support or even become an integral part of statistical production processes. In
Externí odkaz:
http://arxiv.org/abs/1809.07567
Non-continuous location traces inferred from Call Detail Records (CDR) at population scale are increasingly becoming available for research and show great potential for automated detection of meaningful places. Yet, a majority of Home Detection Algor
Externí odkaz:
http://arxiv.org/abs/1808.06398