116 research outputs found
The Gaussian free field and Hadamard's variational formula
We relate the Gaussian free field on a planar domain to the variational
formula of Hadamard which explains the change of the Green function under a
perturbation of the domain. This is accomplished by means of a natural integral
operator related to Hadamard's formula.Comment: 9 page
Crystalline Order On Riemannian Manifolds With Variable Gaussian Curvature And Boundary
We investigate the zero temperature structure of a crystalline monolayer
constrained to lie on a two-dimensional Riemannian manifold with variable
Gaussian curvature and boundary. A full analytical treatment is presented for
the case of a paraboloid of revolution. Using the geometrical theory of
topological defects in a continuum elastic background we find that the presence
of a variable Gaussian curvature, combined with the additional constraint of a
boundary, gives rise to a rich variety of phenomena beyond that known for
spherical crystals. We also provide a numerical analysis of a system of
classical particles interacting via a Coulomb potential on the surface of a
paraboloid.Comment: 12 pages, 8 figure
The polyanalytic Ginibre ensembles
We consider a polyanalytic generalization of the Ginibre ensemble. This
models allowing higher Landau levels (the Ginibre ensemble corresponds to the
lowest Landau level). We study the local behavior of this point process under
blow-ups.Comment: 31 page
Indications for Systemic Fluoroquinolone Therapy in Europe and Prevalence of Primary-Care Prescribing in France, Germany and the UK:Descriptive Population-Based Study
Effect of withdrawal of fusafungine from the market on prescribing of antibiotics and other alternative treatments in Germany:a pharmacovigilance impact study
One-component plasma on a spherical annulus and a random matrix ensemble
The two-dimensional one-component plasma at the special coupling \beta = 2 is
known to be exactly solvable, for its free energy and all of its correlations,
on a variety of surfaces and with various boundary conditions. Here we study
this system confined to a spherical annulus with soft wall boundary conditions,
paying special attention to the resulting asymptotic forms from the viewpoint
of expected general properties of the two-dimensional plasma. Our study is
motivated by the realization of the Boltzmann factor for the plasma system with
\beta = 2, after stereographic projection from the sphere to the complex plane,
by a certain random matrix ensemble constructed out of complex Gaussian and
Haar distributed unitary matrices.Comment: v2, typos and references corrected, 24 pages, 1 figur
Estimates for vector valued Dirichlet polynomials
[EN] We estimate the -norm of finite Dirichlet polynomials with coefficients in a Banach space. Our estimates quantify several recent results on Bohr's strips of uniform but non absolute convergence of Dirichlet series in Banach spaces.A. Defant and P. Sevilla-Peris were supported by MICINN Project MTM2011-22417.Defant, A.; Schwarting, U.; Sevilla Peris, P. (2014). Estimates for vector valued Dirichlet polynomials. Monatshefte fïżœr Mathematik. 175(1):89-116. https://doi.org/10.1007/s00605-013-0600-4S891161751Balasubramanian, R., Calado, B., QueffĂ©lec, H.: The Bohr inequality for ordinary Dirichlet series. Studia Math. 175(3), 285â304 (2006)Bayart, F.: Hardy spaces of Dirichlet series and their composition operators. Monatsh. Math. 136(3), 203â236 (2002)Bennett, G.: Inclusion mappings between l p spaces. J. Funct. Anal. 13, 20â27 (1973)Bohnenblust, H.F., Hille, E.: On the absolute convergence of Dirichlet series. Ann. Math. (2) 32(3), 600â622 (1931)Bohr, H.: Ăber die Bedeutung der Potenzreihen unendlich vieler Variablen in der Theorie der Dirichletâschen Reihen â a n n s . Nachr. Ges. Wiss. Göttingen Math. Phys. Kl., Heft 4, 441â488 (1913)Bohr, H.: Ăber die gleichmĂ€Ăige Konvergenz Dirichletscher Reihen. J. Reine Angew. Math. 143, 203â211 (1913)Carl, B.: Absolut- ( p , 1 ) -summierende identische Operatoren von l u in l v . Math. Nachr. 63, 353â360 (1974)Carlson, F.: Contributions Ă la thĂ©orie des sĂ©ries de Dirichlet. Note i. Ark. föâr Mat., Astron. och Fys. 16(18), 1â19 (1922)de la BretĂšche, R.: Sur lâordre de grandeur des polynĂŽmes de Dirichlet. Acta Arith. 134(2), 141â148 (2008)Defant, A., Frerick, L., Ortega-CerdĂ , J., OunaĂŻes, M., Seip, K.: The BohnenblustâHille inequality for homogeneous polynomials is hypercontractive. Ann. Math. (2) 174(1), 485â497 (2011)Defant, A., GarcĂa, D., Maestre, M., PĂ©rez-GarcĂa, D.: Bohrâs strip for vector valued Dirichlet series. Math. Ann. 342(3), 533â555 (2008)Defant, A., GarcĂa, D., Maestre, M., Sevilla-Peris, P.: Bohrâs strips for Dirichlet series in Banach spaces. Funct. Approx. Comment. Math. 44(part 2), 165â189 (2011)Defant, A., Maestre, M., Schwarting, U.: Bohr radii of vector valued holomorphic functions. Adv. Math. 231(5), 2837â2857 (2012)Defant, A., Popa, D., Schwarting, U.: Coordinatewise multiple summing operators in Banach spaces. J. Funct. Anal. 259(1), 220â242 (2010)Defant, A., Sevilla-Peris, P.: Convergence of Dirichlet polynomials in Banach spaces. Trans. Am. Math. Soc. 363(2), 681â697 (2011)Diestel, J., Jarchow, H., Tonge, A.: Absolutely Summing Operators. Cambridge Studies in Advanced Mathematics, vol. 43. Cambridge University Press, Cambridge (1995)Harris, L.A.: Bounds on the derivatives of holomorphic functions of vectors. In: Analyse fonctionnelle et applications (Comptes Rendus Colloq. Analyse, Inst. Mat., Univ. Federal Rio de Janeiro, Rio de Janeiro, 1972), pp. 145â163. ActualitĂ©s Aci. Indust., No. 1367. Hermann, Paris (1975)Hedenmalm, H., Lindqvist, P., Seip, K.: A Hilbert space of Dirichlet series and systems of dilated functions in L 2 ( 0 , 1 ) . Duke Math. J. 86(1), 1â37 (1997)Kahane, J.-P.: Some Random Series of Functions. Cambridge Studies in Advanced Mathematics, vol. 5, 2nd edn. Cambridge University Press, Cambridge (1985)Konyagin, S.V., QueffĂ©lec, H.: The translation 1 2 in the theory of Dirichlet series. Real Anal. Exch. 27(1):155â175 (2001/2002)KwapieĆ, S.: Some remarks on ( p , q ) -absolutely summing operators in l p -spaces. Studia Math. 29, 327â337 (1968)Ledoux, M., Talagrand, M.: Probability in Banach Spaces: Isoperimetry and Processes, reprint of the 1991 edn. Classics in Mathematics. Springer, Berlin (2011)Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces. I. Sequence Spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 92. Springer, Berlin (1977)Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces. II, Function Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], vol. 97. Springer, Berlin (1979)Maurizi, B., QueffĂ©lec, H.: Some remarks on the algebra of bounded Dirichlet series. J. Fourier Anal. Appl. 16, 676â692 (2010)Prachar, K.: Primzahlverteilung. Springer, Berlin (1957)QueffĂ©lec, H.: H. Bohrâs vision of ordinary Dirichlet series; old and new results. J. Anal. 3, 43â60 (1995)Tomczak-Jaegermann, N.: BanachâMazur Distances and Finite-Dimensional Operator Ideals. Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 38. Longman Scientific & Technical, Harlow (1989
Almost sure-sign convergence of Hardy-type Dirichlet series
[EN] Hartman proved in 1939 that the width of the largest possible strip in the complex plane on which a Dirichlet series is uniformly a.s.- sign convergent (i.e., converges uniformly for almost all sequences of signs epsilon (n) = +/- 1) but does not convergent absolutely, equals 1/2. We study this result from a more modern point of view within the framework of so-called Hardytype Dirichlet series with values in a Banach space.Supported by CONICET-PIP 11220130100329CO, PICT 2015-2299 and UBACyT 20020130100474BA.
Supported by MICINN MTM2017-83262-C2-1-P.
Supported by MICINN MTM2017-83262-C2-1-P and UPV-SP20120700.Carando, D.; Defant, A.; Sevilla Peris, P. (2018). Almost sure-sign convergence of Hardy-type Dirichlet series. Journal d Analyse MathĂ©matique. 135(1):225-247. https://doi.org/10.1007/s11854-018-0034-yS2252471351A. Aleman, J.-F. Olsen, and E. Saksman, Fourier multipliers for Hardy spaces of Dirichlet series, Int. Math. Res. Not. IMRN 16 (2014), 4368â4378.R. Balasubramanian, B. Calado, and H. QueffĂ©lec, The Bohr inequality for ordinary Dirichlet series Studia Math. 175 (2006), 285â304.F. Bayart, Hardy spaces of Dirichlet series and their composition operators, Monatsh. Math. 136 (2002), 203â236.F. Bayart, A. Defant, L. Frerick, M. Maestre, and P. Sevilla-Peris, Monomial series expansion of Hp-functions and multipliers ofHp-Dirichlet series, Math. Ann. 368 (2017), 837â876.F. Bayart, D. Pellegrino, and J. B. Seoane-SepĂșlveda, The Bohr radius of the n-dimensional polydisk is equivalent to ( log n ) / n , Adv. Math. 264 (2014), 726â746.F. Bayart, H. QueffĂ©lec, and K. Seip, Approximation numbers of composition operators on Hp spaces of Dirichlet series, Ann. Inst. Fourier (Grenoble) 66 (2016), 551â588.H. F. Bohnenblust and E. Hille. On the absolute convergence of Dirichlet series, Ann. of Math. (2) 32 (1931), 600â622.H. Bohr, Ăber die Bedeutung der Potenzreihen unendlich vieler Variablen in der Theorie der Dirichletâschen Reihen â a n n s , Nachr. Ges.Wiss. Göttingen, Math. Phys. Kl., 1913, pp. 441â488.D. Carando, A. Defant, and P. Sevilla-Peris, Bohrâs absolute convergence problem for Hp- Dirichlet series in Banach spaces, Anal. PDE 7 (2014), 513â527.D. Carando, A. Defant, and P. Sevilla-Peris, Some polynomial versions of cotype and applications, J. Funct. Anal. 270 (2016), 68â87.B. J. Cole and T. W. Gamelin, Representing measures and Hardy spaces for the infinite polydisk algebra, Proc. London Math. Soc. (3) 53 (1986), 112â142.R. de la BretĂšche. Sur lâordre de grandeur des polynĂŽmes de Dirichlet, Acta Arith. 134 (2008), 141â148.A. Defant, L. Frerick, J. Ortega-CerdĂ , M. OunĂ€ies, and K. Seip, The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive, Ann. of Math. (2) 174 (2011), 485â497.A. Defant, D. GarcĂa, M. Maestre, and D. PĂ©rez-GarcĂa, Bohrâs strip for vector valued Dirichlet series, Math. Ann. 342 (2008), 533â555.A. Defant, M. Maestre, and U. Schwarting, Bohr radii of vector valued holomorphic functions, Adv. Math. 231 (2012), 2837â2857.A. Defant and A. PĂ©rez, Hardy spaces of vector-valued Dirichlet series, StudiaMath. (to appear), 2018 DOI: 10.4064/sm170303-26-7.A. Defant, U. Schwarting, and P. Sevilla-Peris, Estimates for vector valued Dirichlet polynomials, Monatsh. Math. 175 (2014), 89â116.J. Diestel, H. Jarchow, and A. Tonge, Absolutely Summing Operators, Cambridge University Press, Cambridge, 1995.P. Hartman, On Dirichlet series involving random coefficients, Amer. J. Math. 61 (1939), 955â964.H. Hedenmalm, P. Lindqvist, and K. Seip, A Hilbert space of Dirichlet series and systems of dilated functions in L2(0, 1), Duke Math. J. 86 (1997), 1â37.A. Hildebrand, and G. Tenenbaum, Integers without large prime factors, J. Thor. Nombres Bordeaux 5 (1993), 411â484.S. V. Konyagin and H. QueffĂ©lec, The translation 1/2 in the theory of Dirichlet series, Real Anal. Exchange 27 (2001/02) 155â175.J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. II, Springer-Verlag, Berlin, 1979.B. Maurizi and H. QueffĂ©lec, Some remarks on the algebra of bounded Dirichlet series, J. Fourier Anal. Appl. 16 (2010), 676â692.H. QueffĂ©lec, H. Bohrâs vision of ordinary Dirichlet series; old and new results, J. Anal. 3 (1995), 43â60.H. QueffĂ©lec and M. QueffĂ©lec, Diophantine Approximation and Dirichlet Series, Hindustan Book Agency, New Delhi, 2013.G. Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Cambridge University Press, Cambridge, 1995
Pharmacovigilance in children in CamagĂŒey Province, Cuba
Purpose:
Our aim was to describe the adverse drug reactions (ADRs) detected following increased education about pharmacovigilance and drug toxicity in children in CamagĂŒey Province, Cuba.
Methods:
Over a period of 24 months (January 2009 to December 2010), all reports of suspected ADRs in children to the Provincial Pharmacovigilance Centre in CamagĂŒey Province were analysed. ADRs were classified in relation to causality and severity.
Results:
There were 533 reports involving suspected ADRs in children in the period. Almost one third of the reports received were classified as moderate (155, 29%) or severe (10, 2%). There was one fatality in association with the use of ceftriaxone. Vaccines and antibiotics were responsible for most of the ADR reports (392, 74%) and for all ten severe ADRs. After an intensive educational package, both within the community and the Childrenâs Hospital, the number of reports increased from 124 in 2008 to 161 in 2009 and 372 in 2010. This was equivalent to a reporting rate of 879 and 2,031 reports per million children per year for 2009 and 2010, respectively.
Conclusions:
The incidence of ADRs in children CamagĂŒey Province, Cuba, is greater than previously reported. An educational intervention about pharmacovigilance and drug toxicity in children can improve the reporting of ADRs
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