Publicacions matemàtiques
Publicacions Matemàtiques (ISSN: 0214-1493 papel, 2014-4350 electrónico) es una revista que publica artículos de calidad de investigación de todos los campos de las matemáticas y, de tanto en cuanto, también actos de congresos. Esta revista comenzó en el año 1976 bajo el título de Publicacions de la Secció de Matemàtiques (ISSN: 0210-2978 papel, 2014-4369 electrónico). En el año 1988 se introdujo un nuevo formato y comité editorial que dieron lugar a la segunda etapa de esta revista.

 

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2022-07-27
08:59
25 p, 504.6 KB Sharp Lp-Lq estimate for the spectral projection associated with the twisted Laplacian / Jeong, Eunhee (Jeonbuk National University. Department of Mathematics Education) ; Lee, Sanghyuk (Seoul National University. Department of Mathematical Sciences) ; Ryu, Jaehyeon (Korea Institute for Advanced Study. School of Mathematics)
In this note we are concerned with estimates for the spectral projection operator Pµ associated with the twisted Laplacian L. We completely characterize the optimal bounds on the operator norm of Pµ from Lp to Lq when 1 ≤ p ≤ 2 ≤ q ≤ ∞. [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 831-855 (Articles)  
2022-07-27
08:59
10 p, 311.3 KB A simple proof of the optimal power in Liouville theorems / Villegas Barranco, Salvador (Universidad de Granada. Departamento de Análisis Matemático)
Consider the equation div(ϕ2∇σ) = 0 in RN , where ϕ > 0. It is well known [4, 2] that if there exists C > 0 such that R BR (ϕσ) 2 dx ≤ CR2 for every R ≥ 1, then σ is necessarily constant. [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 883-892 (Articles)  
2022-07-27
08:59
59 p, 756.1 KB KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks / Tasca, Felipe Augusto (Universidade Federal de Santa Catarina) ; Gonçalves, Daniel (Universidade Federal de Santa Catarina. Departamento de Matemática)
We extend ultragraph shift spaces and the realization of ultragraph C∗-algebras as partial crossed products to include ultragraphs with sinks (under a mild condition, called (RFUM2), which allows us to dismiss the use of filters) and we describe the associated transformation groupoid. [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 729-787 (Articles)  
2022-07-27
08:59
32 p, 370.4 KB From pre-trusses to skew braces / Brzeziński, Tomasz (Swansea University. Department of Mathematics) ; Mereta, Stefano (Swansea University. Department of Mathematics) ; Rybołowicz, Bernard (Heriot-Watt University. Department of Mathematics)
An algebraic system consisting of a set together with an associative binary and a ternary heap operations is studied. Such a system is termed a pre-truss and if a binary operation distributes over the heap operation on one side we call it a near-truss. [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 683-714 (Articles)  
2022-07-27
08:59
13 p, 298.8 KB Quasiconformal maps with thin dilatations / Bishop, Christopher J. (Stony Brook University. Mathematics Department)
We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author's quasiconformal folding method for constructing entire functions; in particular an application to constructing transcendental wandering domains given by Fagella, Godillon, and Jarque.
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 715-727 (Articles)  
2022-07-27
08:59
84 p, 672.0 KB Topologically semisimple and topologically perfect topological rings / Positselski, Leonid (Czech Academy of Sciences. Institute of Mathematics) ; Šťovíček, Jan (Charles University in Prague. Department of Algebra)
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of topological rings with right linear topology, we show that the abelian category of left contramodules over such a ring is split (equivalently, semisimple) if and only if the abelian category of discrete right modules over the same ring is split (equivalently, semisimple). [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 457-540 (Articles)  
2022-07-27
08:59
42 p, 690.7 KB Stallings automata for free-times-abelian groups : intersections and index / Delgado, Jordi (Universidad del País Vasco. Departamento de Matemáticas) ; Ventura, Enric (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We extend the classical Stallings theory (describing subgroups of free groups as automata) to direct products of free and abelian groups: after introducing enriched automata (i. e. , automata with extra abelian labels), we obtain an explicit bijection between subgroups and a certain type of such enriched automata, which-as it happens in the free group-is computable in the finitely generated case. [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 789-830 (Articles)  
2022-07-27
08:59
25 p, 411.7 KB Twisted L2-torsion on the character variety / Bénard, Leo (Georg-August Universität. Mathematisches Institut) ; Raimbault, Jean (Institut de Mathématiques de Toulouse)
We define a twisted L2 -torsion on the character variety of a 3-manifold M and study some of its properties. In the case where M is hyperbolic of finite volume, we prove that the L2-torsion is a real-analytic function in a neighbourhood of any lift of the holonomy representation.
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 857-881 (Articles)  
2022-07-27
08:59
29 p, 449.1 KB Invariant ideals in Leavitt path algebras / Gil Canto, Cristobal (Universidad de Málaga. Departamento de Matemática Aplicada) ; Martín Barquero, Dolores (Universidad de Málaga. Departamento de Matemática Aplicada) ; Martín González, Cándido (Universidad de Málaga. Departamento de Álgebra, Geometría y Topología)
It is known that the ideals of a Leavitt path algebra LK(E) generated by Pl(E), by Pc(E), or by Pec(E) are invariant under isomorphism. Though the ideal generated by Pb∞(E) is not invariant we find its "natural" replacement (which is indeed invariant): the one generated by the vertices of Pb∞p (vertices with pure infinite bifurcations). [...]
2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 541-569 (Articles)  
2022-07-27
08:59
60 p, 863.0 KB On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting / Cauchi, Antonio (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Lei, Antonio (Université Laval. Département de Mathématiques et de Statistique)
We study the Fitting ideals over the finite layers of the cyclotomic Zp-extension of Q of Selmer groups attached to the Rankin-Selberg convolution of two modular forms f and g. Inspired by the theta elements for modular forms defined by Mazur and Tate in [32], we define new theta elements for Rankin-Selberg convolutions of f and g using Loeffler-Zerbes' geometric p-adic L-functions attached to f and g. [...]
We study the Fitting ideals over the finite layers of the cyclotomic Zp-extension of Q of Selmer groups attached to the Rankin-Selberg convolution of two modular forms f and g. Inspired by the theta elements for modular forms defined by Mazur and Tate in [32], we define new theta elements for Rankin-Selberg convolutions of f and g using Loeffler-Zerbes' geometric p-adic L-functions attached to f and g. [...]

2022
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 571-630 (Articles)