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Publicacions matemàtiques
Publicacions Matemàtiques (ISSN: 0214-1493 print, 2014-4350 online) is a journal that publishes research quality articles about all fields of mathematics, and from time to time, also proceedings. This publication began to work in 1976 under the title Publicacions de la Secció de Matemàtiques (ISSN: 0210-2978 print, 2014-4369 online). In 1988, a new format and a new editorial board was introduced which gave rise to the second stage of the publication.

 
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2026-07-28
11:20
37 p, 1.1 MB Direct methods for a dual tempered fractional parabolic problem / Guo, Yuxia (Tsinghua University (Pequin, Xina). Department of Mathematical Science) ; Hu, Yichen (Dalian University of Technology (Dalian, Índia). School of Mathematical Sciences) ; Peng, Shaolong (Beihang University (Pequin, Xina). School of Mathematical Sciences)
In this paper, we consider the dual tempered fractional parabolic problema ∂ s t u(x, t) − (∆ + ρ) α 2 u(x, t) = f(t, u(x, t)), Ω × R, where Ω may be Rn or Rn + := {x ∈ Rn | x1 > 0}, s ∈ (0, 1), α ∈ (0, 2), and ρ is a sufficiently small positive constant. [...]
2026 - 10.5565/PUBLMAT7022610
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 549-585 (Articles)  
Detailed record - Creative Commons
2026-07-28
11:13
24 p, 1.0 MB Lie ideals in properly infinite C ∗ -algebras / Thiel, Hannes (Chalmers University of Technology)
We show that every Lie ideal in a unital, properly in nite C*-algebra is commutator-equivalent to a unique two-sided ideal. It follows that the Lie ideal structure of such a C*-algebra is concisely encoded by its lattice of two-sided ideals. [...]
2026 - 10.5565/PUBLMAT7022609
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 525-548 (Articles)  
Detailed record - Creative Commons
2026-07-28
11:13
32 p, 1.1 MB The reverse Hölder inequality for A p ( ⋅ ) weights with applications to matrix weights / Cruz Uribe, David (University of Alabama. Department of Mathematics) ; Penrod, Michael (University of Alabama. Department of Mathematics)
In this paper we prove a reverse Hölder inequality for the variable exponent Muckenhoupt weights Ap(. ), introduced in [8]. All of our estimates are quantitative, showing the dependence of the exponent function on the Ap(. [...]
2026 - 10.5565/PUBLMAT7022608
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 493-524 (Articles)  
Detailed record - Creative Commons
2026-07-28
11:13
48 p, 1.3 MB A poisonous example to explicit resolutions of unbounded complexes / Herbera, Dolors (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pitsch, Wolfgang (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Saorin, Manuel (Universidad de Murcia. Departamento de Matemáticas) ; Virili, Simone (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex. We show that one way to rescue these methods is to assume Roos' (Ab. [...]
2026 - 10.5565/PUBLMAT7022607
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 445-492 (Articles)  
Detailed record - Creative Commons
2026-07-28
11:13
24 p, 1.0 MB On the convergence of doubly stochastic Markov chains / Bouthat, Ludovick (Université Laval. Département de Mathématiques et de Statistique) ; Doyon, Nicolas (Université Laval. Département de Mathématiques et de Statistique) ; Mashreghi, Javad (Université Laval. Département de mathématiques et de statistique) ; Morneau-Guérin, Frédéric (Université TÉLUQ (Québec). Département Éducation)
We characterize the asymptotic behavior of time-homogeneous doubly stochastic Markov chains. Our investigation revolves around understanding the dynamics of products of doubly stochastic matrices, which in turn allows us to fully characterize three distinct behaviors: cyclicity, convergence towards a special equilibrium matrix, and divergence. [...]
2026 - 10.5565/PUBLMAT7022606
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 421-444 (Articles)  
Detailed record - Creative Commons
2026-07-28
11:13
24 p, 1.1 MB On a mixed boundary value problem on bounded domains of R 3 / Alghanemi, Azeb (King Abdulaziz University (Jeddah, Aràbia Saudí)) ; Ben Mahmoud, Randa (Sfax University (Sfax, Tunísia). Department of Mathematics) ; Chtioui, Hichem (Sfax University (Sfax, Tunísia). Department of Mathematics)
We are interested in a nonlinear Laplace equation with critical nonlinearity and mixed Dirichlet{Neumann boundary conditions on bounded domains of R3. Building on the analysis of [1] and on further developments of the theory of critical points at infinity [6], we study the lack of compactness of the associated variational problem and prove general existence theorems.
2026 - 10.5565/PUBLMAT7022605
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 397-420 (Articles)  
Detailed record - Creative Commons
2026-07-28
10:12
18 p, 1018.7 KB Liftings and invariant subspaces of Hankel operators / Sneha, B. (Indian Statistical Institute (Bangalore, Índia)) ; Bala, Neeru ; Panja, Samir (Indian Statistical Institute (Bangalore, Índia)) ; Sarka, Jaydeb (Indian Statistical Institute (Bangalore, Índia))
We prove a Hankel-variant commutant lifting theorem. This also uncovers the complete structure of the Beurling-type reducing and invariant subspaces of Hankel operators. Kernel spaces of Hankel operators play a key role in the analysis.
2026 - 10.5565/PUBLMAT7022604
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 379-396 (Articles)  
Detailed record - Creative Commons
2026-07-28
10:13
39 p, 1.2 MB Quantum metric Choquet simplices / Jacelon, Bhishan (Czech Academy of Sciences. Institute of Mathematics)
Precipitating a notion emerging from recent research, we formalise the study of a special class of compact quantum metric spaces. Abstractly, the additional requirement we impose on the underlying order unit spaces is the Riesz interpolation property. [...]
2026 - 10.5565/PUBLMAT7022603
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 339-377 (Articles)  
Detailed record - Creative Commons
2026-07-28
10:13
24 p, 1.1 MB Classification of monads and moduli components of stable rank 2 bundles with odd determinant and c 2 = 10 / Leal Fontes, Aislan (Universidade Federal de Sergipe) ; Jardim, Marcos (Universidade Estadual de Campinas. Departamento de Matemática)
In this paper, we provide a complete classification of the positive minimal monads whose cohomology is a stable rank 2 bundle on P 3 with Chern classes c1 = −1, c2 = 10. We prove the existence of two new components of the moduli space B(−1, 10) of stable rank 2 bundles with the given Chern classes. [...]
2026 - 10.5565/PUBLMAT7022602
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 315-338 (Articles)  
Detailed record - Creative Commons
2026-07-28
10:13
11 p, 1004.5 KB Simple solutions of the Yang-Baxter equation of cardinality p n / Cedó, Ferran (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Okniński, Jan (University of Warsaw (Polònia). Institute of Mathematics)
For every prime number p and integer n > 1, a simple, involutive, non-degenerate, set-theoretic solution (X, r) of the Yang-Baxter equation of cardinality |X| = p n is constructed. Furthermore, for every positive integer m which is not square-free and is not a square of a prime number, a non-simple, indecomposable, irretractable, involutive, non-degenerate, set-theoretic solution (X, r) of the Yang-Baxter equation of cardinality |X| = m is constructed. [...]
2026 - 10.5565/PUBLMAT7022601
Publicacions matemàtiques, Vol. 70, Num. 2 (2026) , p. 303-313 (Articles)  
Detailed record - Creative Commons
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