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.
Darreres entrades:
2017-07-13
06:06
31 p, 290.6 KB Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians / Bounemoura, Abed ; Centre de Recerca Matemàtica
In this paper, we give a new construction of resonant normal forms with a small remainder for near-integrable Hamiltonians at a quasi-periodic frequency. The construction is based on the special case of a periodic frequency, a Diophantine result concerning the approximation of a vector by independent periodic vectors and a technique of composition of periodic averaging. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1132)  
2017-07-13
06:06
43 p, 368.1 KB Kuranishi type Moduli Spaces for proper CR submersions fibering over the circle / Meersseman, Laurent ; Centre de Recerca Matemàtica
Kuranishi's fundamental result (1962) associates to any compact complex manifold X&sub&0&/sub& a finite-dimensional analytic space which has to be thought of as a local moduli space of complex structures close to X&sub&0&/sub&. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1121)  
2017-07-13
06:06
21 p, 233.9 KB Normal forms, stability and splitting of invariant manifolds II. Finitely differentiable Hamiltonians / Bounemoura, Abed ; Centre de Recerca Matemàtica
This paper is a sequel to ``Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians", in which we gave a new construction of resonant normal forms with an exponentially small remainder for near-integrable Gevrey Hamiltonians at a quasi-periodic frequency, using a method of periodic approximations. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1133)  
2017-07-13
06:06
46 p, 362.4 KB Variétés CR polarisées et G-polarisées, partie I / Meersseman, Laurent ; Centre de Recerca Matemàtica
Polarized and G-polarized CR manifolds are smooth manifolds endowed with a double structure: a real foliation &em&F&/em& (given by the action of a Lie group G in the G-polarized case) and a transverse CR distribution. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1130)  
2017-07-13
06:06
13 p, 210.3 KB Holomorphic maps between moduli spaces / Aramayona, Javier ; Souto, Juan A. ; Centre de Recerca Matemàtica
We prove that every non-constant holomorphic map&em&M&/em&&sub&g,p&/sub&→ &em&M&/em&&sub& g',p'&/sub& between moduli spaces of Riemann surfaces is a forgetful map, provided that g ≥ 6 and g' ≤ 2g-2.
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1131)  
2017-07-13
06:06
12 p, 193.2 KB On concentrators and related approximation constants / Bondarenko, Andriy ; Prymak, A ; Radchenko, Danylo ; Centre de Recerca Matemàtica
Pippenger [Pi77] showed the existence of (6m,4m,3m,6)-concentrator for each positive integer m using a probabilistic method. We generalize his approach and prove existence of (6m,4m,3m,5. 05)-concentrator (which is no longer regular, but has fewer edges). [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1127)  
2017-07-13
06:06
21 p, 329.1 KB Modelling the cardiovascular system for automatic interpretation of the blood pressure curve / Myers, Timothy ; Sáez de Tejada, Anna ; McGuinness, Mark J. ; Mitchell, Sarah L. ; Ribas Ripoll, Vicent Jordi ; Centre de Recerca Matemàtica
A four compartment model of the cardiovascular system is developed. To allow for easy interpretation and to minimise the number of parameters, an effort was made to keep the model as simple as possible. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1129)  
2017-07-13
06:06
20 p, 315.2 KB One-dimensional solidification of supercooled melts / Font Martínez, Francesc ; Myers, T. G. ; Mittchell, Sara L. ; Centre de Recerca Matemàtica
In this paper a one-phase supercooled Stefan problem, with a nonlinear relation between the phase change temperature and front velocity, is analysed. The model with the standard linear approximation, valid for small supercooling, is first examined asymptotically. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1126)  
2017-07-13
06:06
10 p, 462.9 KB Statistical similarity between the compression of a porous material and earthquakes / Baró, Jordi ; Corral, Álvaro ; Illa Vila, Xavier ; Planes Vila, Antoni ; Salje, Ekhard K. H. ; Schranz, Wilfried ; Soto-Parra, Daniel ; Vives i Santa-Eulàlia, Eduard ; Centre de Recerca Matemàtica
It has been long stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallelisms between these so separate phenomena. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1123)  
2017-07-13
06:06
17 p, 248.6 KB Tenseness of Riemannian flows / Nozawa, Hiraku ; Royo Prieto, José Ignacio ; Centre de Recerca Matemàtica
We show that any transversally complete Riemannian foliation &em&F&/em& of dimension one on any possibly non-compact manifold M is tense; namely, (M,&em&F&/em&) admits a Riemannian metric such that the mean curvature form of &em&F&/em& is basic. [...]
Centre de Recerca Matemàtica 2012 (Prepublicacions del Centre de Recerca Matemàtica ; 1124)