Prepublicacions
Recull de documents que sintetitzen una recerca original sobre un tema concret dins d’una matèria o camp d’estudi, amb el propòsit d’informar sobre l’estat de la recerca. Ajuden a descobrir noves idees i conceptes i a perfilar línies de recerca. Destaquen els del Centre de Recerca Matemàtica.
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2018-10-23
06:10
38 p, 355.2 KB Equidistribution estimates for Fekete points on complex manifolds / Lev, Nir ; Ortega Cerdà, Joaquim ; Centre de Recerca Matemàtica
We study the equidistribution of Fekete points in a compact complex manifold. These are extremal point configurations defined through sections of powers of a positive line bundle. Their equidistribution is a known result. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1122)  
2018-10-23
06:10
33 p, 305.8 KB Rigidity phenomena in the mapping class group / Aramayona, Javier ; Souto, Juan A ; Centre de Recerca Matemàtica
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1128)  
2018-10-23
06:10
23 p, 259.3 KB Bernstein's problem on weighted polynomial approximation / Poltoratski, Alexei ; Centre de Recerca Matemàtica
We formulate a necessary and sufficient condition for polynomials to be dense in a space of continuous functions on the real line, with respect to Bernstein's weighted uniform norm. Equivalently, for a positive finite measure [lletra "mu" minúscula de l'alfabet grec] on the real line we give a criterion for density of polynomials in Lp[lletra "mu" minúscula de l'alfabet grec entre parèntesis].
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1061)  
2018-10-23
06:10
10 p, 359.2 KB Gap probabilities for the cardinal sine / Antezana, Jorge ; Buckley, Jeremiah ; Marzo Sánchez, Jordi ; Olsen, Jan-Fredrik ; Centre de Recerca Matemàtica
We study the zero set of random analytic functions generated by a sum of the cardinal sine functions which form an orthogonal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian coefficients. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1058)  
2018-10-23
06:10
78 p, 604.1 KB KAM theory for conformally symplectic systems / Calleja, Renato C. ; Celletti, A. (Alessandra) ; Llave, Rafael de la ; Centre de Recerca Matemàtica
We present a KAM theory for some dissipative systems (geometrically, these are conformally symplectic systems, i. e. systems that transform a symplectic form into a multiple of itself). For systems with n degrees of freedom depending on n parameters we show that it is possible to find solutions with n-dimensional (Diophantine) frequencies by adjusting the parameters. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1076)  
2018-10-23
06:10
50 p, 419.3 KB Equivariant semiprojectivity / Phillips, N. Christopher ; Centre de Recerca Matemàtica
We define equivariant semiprojectivity for C* -algebras equipped with actions of compact groups. We prove that the following examples are equivariantly semiprojective: A. Arbitrary finite dimensional C*-algebras with arbitrary actions of compact groups. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1068)  
2018-10-23
06:10
18 p, 296.7 KB The generator problem for Z-stable C*-algebras / Thiel, Hannes ; Winter, Wilhelm ; Centre de Recerca Matemàtica
The generator problem was posed by Kadison in 1967, and it remains open until today. We provide a solution for the class of C*-algebras absorbing the Jiang-Su algebra Z tensorially. More precisely, we show that every unital, separable, Z-stable C*-algebra A is singly generated, which means that there exists an element x є A that is not contained in any proper sub-C*- algebra of A. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1079)  
2018-10-23
06:10
22 p, 282.9 KB Moduli of smoothness and growth properties of Fourier transforms : two-sided estimates / Gorbachev, D. ; Tikhonov, Sergey Yu. ; Centre de Recerca Matemàtica
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[superscript] / T d[superscript] and the weighted tail-type integrals of its Fourier transform/series. Sharpness of obtained results in particular is given by the equivalence results for functions satisfying certain regular conditions. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1092)  
2018-10-23
06:10
19 p, 640.9 KB Tropical cyclones as a critical phenomenon / Corral, Álvaro ; Centre de Recerca Matemàtica
It has been proposed that the number of tropical cyclones as a function of the energy they release is a decreasing power-law function, up to a characteristic energy cutoff determined by the spatial size of the ocean basin in which the storm occurs. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1071)  
2018-10-23
06:10
28 p, 260.1 KB Reduction theorems for operators on the cones of monotone functions / Gogatishvili, A. ; Stepanov, V. D. (Vladimir Dmitrievich) ; Centre de Recerca Matemàtica
For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in Lp - Lq setting for 0 < q < ∞, 1<= p < ∞. The case 0 < p < 1 is also studied for operators with additional properties. [...]
Centre de Recerca Matemàtica 2011 (Prepublicacions del Centre de Recerca Matemàtica ; 1067)