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36 p, 567.3 KB

Oscil·ladors en ressonància / Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
Un oscil·lador és un sistema en el qual tots els moviments possibles són periòdics. Si aquest període és comú per a tots els moviments, es diu que l'oscil·lador és isòcron. Quan el sistema és forçat per una pertorbació periòdica amb el mateix període, la dinàmica pot canviar dràsticament i el fenomen de ressonància pot aparèixer. [...]
2022 - DOI (Digital Object Identifier)

10.2436/20.2002.01.105
Butlletí de la Societat Catalana de Matemàtiques, Vol. 37, Núm. 2 (2022) , p. 137-172

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28 p, 759.2 KB

The period of the limit cycle bifurcating from a persistent polycycle / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Queiroz, Lucas (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas) ; Villadelprat Yagüe, Jordi (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We consider smooth families of planar polynomial vector fields {Xµ}µ∈Λ, where Λ is an open subset of R N , for which there is a hyperbolic polycycle Γ that is persistent (i. e. , such that none of the separatrix connections is broken along the family). [...]
2024
Publicacions Matemàtiques, (February 2024)

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27 p, 482.3 KB

∞ -operads as symmetric monoidal ∞ -categories / Haugseng, Rune (Norwegian University of Science and Technology) ; Kock, Joachim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We use Lurie's symmetric monoidal envelope functor to give two new descriptions of ∞-operads: as certain symmetric monoidal ∞-categories whose underlying symmetric monoidal ∞-groupoids are free, and as certain symmetric monoidal ∞-categories equipped with a symmetric monoidal functor to finite sets (with disjoint union as tensor product). [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812406
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 111-137 (Articles)

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47 p, 693.7 KB

Test vectors for archimedean period integrals / Humphries, Peter (University of Virginia (Charlottesville, Estats Units d'Amèrica)) ; Jo, Yeongseong (Ewha Womans University (Seül, Corea del Sud))
We study period integrals involving Whittaker functions associated to generic irreducible Casselman-Wallach representations of GLn(F), where F is an archimedean local field. Via the archimedean theory of newforms for GLn developed by the first author, we prove that newforms are weak test vectors for several period integrals, including the GLn × GLn Rankin-Selberg integral, the Flicker integral, and the Bump-Friedberg integral. [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812407
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 139-185 (Articles)

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24 p, 423.5 KB

Classical and uniform exponents of multiplicative p -adic approximation / Bugeaud, Yann (Université de Strasbourg) ; Schleischitz, Johannes (Middle East Technical University (Güzelyurt, Turquia))
Let p be a prime number and ξ an irrational p-adic number. Its irrationality exponent µ(ξ) is the supremum of the real numbers µ for which the system of inequalities 0 < max{|x|, |y|} ≤ X, |yξ − x|p ≤ X−µ has a solution in integers x, y for arbitrarily large real number X. [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812401
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 3-26 (Articles)

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31 p, 491.7 KB

Iwasawa theory of Hilbert modular forms for anticyclotomic extensions without Ihara's lemma / Xie, Bingyong (East China Normal University (Shanghai, Xina))
Following Bertolini and Darmon's method, with "Ihara's lemma" among other conditions Longo and Wang proved one divisibility of the Iwasawa main conjecture for Hilbert modular forms of weight 2 and general low even parallel weight in the anticyclotomic setting respectively. [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812403
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 41-71 (Articles)

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14 p, 387.3 KB

Ordinary primes for some varieties with extra endomorphisms / Fité, Francesc (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
Let A be an abelian variety defined over a number field and of dimension g. When g ≤ 2, by the recent work of Sawin, we know the exact (nonzero) value of the density of the set of primes which are ordinary for A. [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812402
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 27-40 (Articles)

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31 p, 699.1 KB

C ⋆ -algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their K-theory / Mutter, Sam A. (Newcastle University. School of Mathematics, Statistics and Physics) ; Radu, Aura-Cristiana (Newcastle University. School of Mathematics, Statistics and Physics) ; Vdovina, Alina (Newcastle University. School of Mathematics, Statistics and Physics)
We unite elements of category theory, K-theory, and geometric group theory, by defining a class of groups called k-cube groups, which act freely and transitively on the product of k trees, for arbitrary k. [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812408
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 187-217 (Articles)

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$Oscillatory phenomena for higher-order fractional Laplacians$

20 p, 411.1 KB

Oscillatory phenomena for higher-order fractional Laplacians / Abatangelo, Nicola (Università di Bologna. Dipartimento di Matematica) ; Jarohs, Sven (Goethe-Universität Frankfurt am Main. Institut für Mathematik)
We collect some peculiarities of higher-order fractional Laplacians (−∆)s , s > 1, with special attention to the range s ∈ (1, 2), which show their oscillatory nature. These include the failure of the polarization and P'olya-Szeg˝o inequalities and the explicit example of a domain with sign-changing first eigenfunction. [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812412
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 267-286 (Articles)

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10.

29 p, 497.6 KB

Non-existence of integral Hopf orders for twists of several simple groups of Lie type / Carnovale, Giovanna (Università degli Studi di Padova. Dipartimento di Matematica Tullio Levi-Civita) ; Cuadra, Juan (Universidad de Almería. Departamento de Matemáticas) ; Masut, Elisabetta (Università degli Studi di Padova. Dipartimento di Matematica Tullio Levi-Civita)
Let p be a prime number and q = pm, with m ≥ 1 if p 6= 2, 3 and m > 1 otherwise. Let Ω be any non-trivial twist for the complex group algebra of PSL2(q) arising from a 2-cocycle on an abelian subgroup of PSL2(q). [...]
2024 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6812404
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 73-101 (Articles)

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