Publicacions matemàtiques
Publicacions Matemàtiques (ISSN: 0214-1493 imprès, 2014-4350 en línia) és una revista que publica articles de qualitat de recerca de tots els camps de les matemàtiques i, de tant en quant, també actes de congressos. Aquesta revista va començar l'any 1976 amb el títol de Publicacions de la Secció de Matemàtiques (ISSN: 0210-2978 imprès, 2014-4369 en línia). L'any 1988 va introduir un nou format i comitè editorial que van donar lloc a la segona etapa d'aquesta revista.

 

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2021-03-25
18:51
12 p, 339.1 KB Acyclic 2-dimensional complexes and Quillen's conjecture / Piterman, Kevin Iván (Universidad de Buenos Aires. Departamento de Matem'atica) ; Sadofschi Costa, Iván (Universidad de Buenos Aires. Instituto de Investigaciones Matem'aticas Luis A. Santal'o (IMAS)) ; Viruel Arbáizar, Antonio (Universidad de Málaga. Departamento de Algebra, Geometría y Topología)
Let G be a finite group and Ap(G) be the poset of nontrivial elementary abelian p-subgroups of G. Quillen conjectured that Op(G) is nontrivial if Ap(G) is contractible. We prove that Op(G) 6= 1 for any group G admitting a G-invariant acyclic p subgroup complex of dimension 2. [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383687
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 129-140 (Articles)  
2021-03-25
18:51
26 p, 450.7 KB Local rigidity, bifurcation, and stability of Hf-hypersurfaces in weighted Killing warped products / Velásquez, Marco Antonio (Universidade Federal de Campina Grande. Departamento de Matemática) ; de Lima, Henrique F (Universidade Federal de Campina Grande. Departamento de Matemática) ; Ramalho, Andre F. A. (Universidade Federal de Campina Grande. Departamento de Matemática)
In a weighted Killing warped product Mn f ×ρR with warping metric h , iM+ρ2 dt, where the warping function ρ is a real positive function defined on Mn and the weighted function f does not depend on the parameter t ∈ R, we use equivariant bifurcation theory in order to establish sufficient conditions that allow us to guarantee the existence of bifurcation instants, or the local rigidity for a family of open sets {Ωγ}γ∈I whose boundaries ∂Ωγ are hypersurfaces with constant weighted mean curvature. [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.384462
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 363-388 (Articles)  
2021-03-25
18:51
57 p, 664.2 KB Uniqueness property for 2-dimensional minimal cones in R3 / Liang, Xiangyu (Beihang University. School of Mathematics)
In this article we treat two closely related problems: 1) the upper semicontinuity property for Almgren minimal sets in regions with regular boundary; and 2) the uniqueness property for all the 2-dimensional minimal cones in R3 . [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383612
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 3-59 (Articles)  
2021-03-25
18:51
20 p, 358.1 KB Normal sequences with given limits of multiple ergodic averages / Liao, Lingmin (Université Paris-Est Creteil) ; Rams, Michal (Polish Academy of Sciences (Varsóvia, Polonia).Institute of Mathematics.)
We are interested in the set of normal sequences in the space {0, 1} N with a given frequency of the pattern 11 in the positions k, 2k. The topological entropy of such sets is determined.
2021 - 10.5565/publicacionsmatematiques.v65i1.383983
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 271-290 (Articles)  
2021-03-25
18:51
10 p, 280.1 KB Iteration of functions and contractibility of acyclic 2-complexes / Leary, Ian J. (University of Southampton. School of Mathematical Sciences.)
We show that there can be no algorithm to decide whether infinite recursively described acyclic aspherical 2-complexes are contractible. We construct such a complex that is contractible if and only if the Collatz conjecture holds.
2021 - 10.5565/publicacionsmatematiques.v65i1.383987
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 309-318 (Articles)  
2021-03-25
18:51
27 p, 758.2 KB Embedding BMO into weighted BMO / Osekowski, Adam (University of Warsaw (Polònia). Department of Mathematics, Informatics and Mechanics)
2021 - 10.5565/publicacionsmatematiques.v65i1.384142
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 335-361 (Articles)  
2021-03-25
18:51
15 p, 385.2 KB Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in Rn / Dai, Wei (Beihang University (BUAA) (Beijing, Xina). School of Mathematical Sciences) ; Duyckaerts, Thomas (Université Sorbonne, Institut Galilée)
In this paper we study the existence of uniform a priori estimates for positive solutions to Navier problems of higher order Lane-Emden equations (0. 1)(−∆)mu(x) = u p (x), x ∈ Ω, for all large exponents p, where Ω ⊂ Rn is a star-shaped or strictly convex bounded domain with C2m−2 boundary, n ≥ 4, and 2 ≤ m ≤ n 2 . [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383990
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 319-333 (Articles)  
2021-03-25
18:51
21 p, 382.1 KB Isoperimetric cones and minimal solutions of partial overdetermined problems / Pacella, Filomena (Sapienza Università di Roma. Dipartimento di Matematica) ; Tralli, Giulio (Università di Padova. Dipartimento d'Ingegneria Civile e Ambientale (DICEA))
In this paper we consider a partial overdetermined mixed boundary value problem in domains inside a cone as in [18]. We show that, in cones having an isoperimetric property, the only domains which admit a solution and which minimize a torsional energy functional are spherical sectors centered at the vertex of the cone. [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383647
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 61-81 (Articles)  
2021-03-25
18:51
23 p, 372.3 KB On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products / Childs, Lindsay N. (University at Albany)
Let L/K be a G-Galois extension of fields with an H-Hopf Galois structure of type N. We study the Galois correspondence ratio GC(G, N), which is the proportion of intermediate fields E with K ⊆ E ⊆ L that are in the image of the Galois correspondence for the H-Hopf Galois structure on L/K. [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383689
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 141-163 (Articles)  
2021-03-25
18:51
77 p, 721.6 KB Definable coaisles over rings of weak global dimension at most one / Bazzoni, Silvana (Universit'a di Padova (Padova, Italia). Dipartimento di Matematica) ; Hrbek, Michal (Institute of Mathematics of the Czech Academy of Sciences (Praga, República Txeca))
In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a definable coaisle. The t-structures among these which are stable (that is, the t-structures which consist of a pair of triangulated subcategories) are precisely the ones associated to a smashing localization of the derived category. [...]
2021 - 10.5565/publicacionsmatematiques.v65i1.383692
Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 165-241 (Articles)