Publicacions matemàtiques

Publicacions matemàtiques Encontrados 12 registros  La búsqueda tardó 0.01 segundos. 
1.
15 p, 343.5 KB Reverse Faber-Krahn inequality for a truncated Laplacian operator / Parini, Enea (Aix-Marseille Université) ; Rossi, Julio D. (Universidad de Buenos Aires. Departamento de Matemática) ; Salort, Ariel (Universidad de Buenos Aires. Departamento de Matemática)
In this paper we prove a reverse Faber-Krahn inequality for the principal eigenvalue µ1(Ω) of the fully nonlinear eigenvalue problem (−λN (D2u) = µu in Ω,u = 0 on ∂Ω. Here λN (D2u) stands for the largest eigenvalue of the Hessian matrix of u. [...]
2022 - 10.5565/PUBLMAT6622201
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 441-455 (Articles)  
2.
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 - 10.5565/PUBLMAT6622202
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 457-540 (Articles)  
3.
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 - 10.5565/PUBLMAT6622203
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 541-569 (Articles)  
4.
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 - 10.5565/PUBLMAT6622204
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 571-630 (Articles)  
5.
51 p, 594.2 KB Multiple vector-valued, mixed norm estimates for Littlewood-Paley square functions / Benea, Cristina (Université de Nantes. Laboratoire Jean Leray) ; Muscalu, Camil (Cornell University. Department of Mathematics)
We prove that for any LQ-valued Schwartz function f defined on Rd, one has the multiple vector-valued, mixed-norm estimate kfkLP (LQ) . kSfkLP (LQ) valid for every d-tuple P and every n-tuple Q satisfying 0 < P, Q < ∞ componentwise. [...]
2022 - 10.5565/PUBLMAT6622205
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 631-681 (Articles)  
6.
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 - 10.5565/PUBLMAT6622206
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 683-714 (Articles)  
7.
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 - 10.5565/PUBLMAT6622207
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 715-727 (Articles)  
8.
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 - 10.5565/PUBLMAT6622208
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 729-787 (Articles)  
9.
42 p, 690.7 KB Stallings automata for free-times-abelian groups : intersections and index / Delgado Rodríguez, 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 - 10.5565/PUBLMAT6622209
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 789-830 (Articles)  
10.
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 - 10.5565/PUBLMAT6622210
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 831-855 (Articles)  
11.
25 p, 411.7 KB Twisted L2-torsion on the character variety / Bénard, Léo (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 - 10.5565/PUBLMAT6622211
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 857-881 (Articles)  
12.
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 - 10.5565/PUBLMAT6622212
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 883-892 (Articles)  

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