Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Chocano, P. J."'
Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
We point out how to use the classical characteristic method, that is used to solve quasilinear PDE's, to obtain the matrix exponential of some lower triangle infinite matrices. We use the Lie Frechet structure of the Riordan group described in [4]. A
Externí odkaz:
http://arxiv.org/abs/2301.00173
Autor:
Chocano, Pedro J.
We study dynamical systems defined on the combinatorial model of the real line. We prove that using single-valued maps there are no periodic points of period 3, which contrasts with the classical and less restrictive setting. Then, we use Vietoris-li
Externí odkaz:
http://arxiv.org/abs/2209.01837
We give a combinatorial description of shape theory using finite topological $T_0$-spaces (finite partially ordered sets). This description may lead to a sort of computational shape theory. Then we introduce the notion of core for inverse sequences o
Externí odkaz:
http://arxiv.org/abs/2205.03034
We construct a category that classifies compact Hausdorff spaces by their shape and finite topological spaces by their weak homotopy type.
Externí odkaz:
http://arxiv.org/abs/2110.02574
Given a compact metric space $X$, we associate to it an inverse sequence of finite $T_0$ topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy of $X$ that is a strong deformation retract. We provide a method to a
Externí odkaz:
http://arxiv.org/abs/2107.11271
We prove that the unique possible flow in an Alexandroff $T_0$-space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.
Externí odkaz:
http://arxiv.org/abs/2104.00894
Autor:
Castilla, Elena, Chocano, Pedro J.
Robust estimators and Wald-type tests are developed for the multinomial logistic regression based on $\phi$-divergence measures. The robustness of the proposed estimators and tests is proved through the study of their influence functions and it is al
Externí odkaz:
http://arxiv.org/abs/2102.03073
Let $f:G\rightarrow H$ be a homomorphism of groups, we construct a topological space $X_f$ such that its group of homeomorphisms is isomorphic to $G$, its group of homotopy classes of self-homotopy equivalences is isomorphic to $H$ and the natural ma
Externí odkaz:
http://arxiv.org/abs/2011.07257
We adapt the definition of the Vietoris map to the framework of finite topological spaces and we prove some coincidence theorems. From them, we deduce a Lefschetz fixed point theorem for multivalued maps that improves recent results in the literature
Externí odkaz:
http://arxiv.org/abs/2010.12804
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