Preprints
Compilation of documents that synthesize an original research about a concret topic in a study area with the aim of report on the state of the research. They help to discover new idees and concepts and to shape research lines specially in the social sciences and humanities areas. For example: the working papers of Mathematical Research Center.
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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)