Prepublicacions del Centre de Recerca Matemàtica: Recent submissions
Now showing items 1-20 of 619
A NOTE ON QUASICONFORMAL MAPS WITH H"OLDER-CONTINUOUS DILATATION
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation supported on smooth domains is a sufficient condition for the resulting quasiconformal map to be bi-Lipschitz. Their proof ...
Some inequalities of trigonometric approximation in weighted Orlicz spaces
In the present work, we proved a refined direct theorem and an exact inverse theorem of trigonometric approximation in Orlicz spaces with weights satisfying some Muckenhoupt’s \(A_{p}\) condition. As a consequence, refined ...
Scaling in the timing of extreme events
Extreme events can come either from point processes, when the size or energy of the events is above a certain threshold, or from time series, when the intensity of a signal surpasses a threshold value. We are particularly ...
Stratification and \(\pi\)-cosupport: Finite groups
We introduce the notion of \(\pi\)-cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal ...
Symplectic topology of \(b\)-symplectic manifolds
A Poisson manifold \((M^{2n}, \pi)\) is \(b\)-symplectic if \(\bigwedge^{n}\pi\) is transverse to the zero section. In this paper we apply techniques of Symplectic Topology to address global questions pertaining to ...
Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^{2}\)
We prove sharp Pitt’s inequality for the Dunkl transform in \(L^{2}(\mathbb{R}^{d}\) with the corresponding weights. As an application, we obtain the logarithmic uncertainty principle for the Dunkl transform.
epsis mortality prediction with the quotient basis kernel
Sepsis is a common clinical syndrome at the intensive care unit (ICU). This condition may lead to severe sepsis, or to a more severe state of septic shock and multiorganic failure, which entails a substantial risk of death. ...
SECONDARY CHARACTERISTIC CLASSES OF TRANSVERSELY HOMOGENEOUS FOLIATIONS
Let \(G\) be a simple Lie group of real rank one, and \(S_{\infty}^{q}\) the ideal boundary of the corresponding hyperbolic symmetric space of noncompact type (\(H_{\mathbb{R}}^{n}\), \(H_{\mathbb{C}}^{n}\) , \(H_{\mathb ...
Spherically symmetric nanoparticle melting with a variable phase change temperature
In this paper we analyse the melting of a spherically symmetric nanoparticle, using a continuum model which is valid down to a few nanometres. Melting point depression is accounted for by a generalised Gibbs-Thomson relation. ...
Stable representations of posets
The purpose of this paper is to study stable representations of partially ordered sets (posets) and compare it to the well known theory for quivers. In particular, we prove that every indecomposable representation of a ...
Some sharp estimates for convex hypersurfaces of pinched normal curvatures
For a convex domain \(D\) bounded by the hypersurface \(\partial D\) in a space of constant curvature we give sharp bounds on the width \(R − r\) of a spherical shell with radii \(R\) and \(r\) that can enclose \(\partial ...
Stability of a stochastic model for HIV-1 dynamics within a host
We consider a stochastically perturbed Nowak-May model of virus dynamics within a host. Using the direct Lyapunov method, we found sufficient conditions for the stability in probability of equilibrium states of this model.
Rigidity of immersed submanifolds in a hyperbolic space
Let \(M^{n}\), \(n \geq 5\) be a complete noncompact sub-manifold immersed in \(\mathbb{H}^{n+p}\). We will prove that there exist certain positive constants \(\alpha\), \(C\) such that if \(||H|| \leq \alpha\) and the ...
Robust pricing of european options with wavelets and the characteristic function
We present a novel method for pricing European options based on the wavelet approximation (WA) method and the characteristic function. We focus on the discounted expected payoff pricing formula, and compute it by means of ...
Regularity of the Monge-Amp`ere equation in Besov'\''s spaces
Let \(\mu = e^{-V} dx\) be a probability measure and \(T = \nabla \Phi\) be the optimal transportation mapping pushing forward \(\mu\) onto a log-concave compactly supported measure \(\nu = e^{−W} dx\). In this paper, we ...
ON UNIFORM APPROXIMATION BY POLYANALYTIC POLYNOMIALS AND THE DIRICHLET PROBLEM FOR BIANALYTIC FUNCTIONS
In this paper we give some necessary and sufficient conditions for uniform approximability of functions by polyanalytic polynomials on plane compact sets of special form. Also connections with the corresponding Dirichlet ...
Large-scale analysis of Zipf ’s law in English texts
Despite being a paradigm of quantitative linguistics, Zipf\'\''s law for words suffers from three main problems: its formulation is ambiguous, its validity has not been tested rigorously from a statistical point of view, ...
