Centre de Recerca Matemàtica: Recent submissions
Now showing items 101-120 of 1306
Why are inner planets not inclined?
Poincaré's work more than one century ago, or Laskar's numerical simulations from the 1990's on, have irrevocably impaired the long-held belief that the Solar System should be stable. But mathematical mechanisms explaining ...
On the radicality property for spaces of symbols of bounded Volterra operators
In a recent paper of the authors together with A. Aleman, it is shown that the Bloch space B in the unit disc has the following radicality property: if an analytic function g satisfies that g(n )is an element of B, then ...
Point evaluation in Paley–Wiener spaces
We study the norm of point evaluation at the origin in the Paley-Wiener space PWp for 0 < p < infinity, i.e., we search for the smallest positive constant C, called C-p, such that the inequality |f(0)|(p) <= C||f||(p)(p) ...
Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains
Let Omega subset of R (n+ 1) , n >= 2, be an open set satisfying the corkscrew condition with n-Ahlfors regular boundary partial derivative Omega, but without any connectivity assumption. We study the connection between ...
Quasineutral multistability in an epidemiological-like model for defective-helper betacoronavirus infection in cell cultures
t is well known that, during replication, RNA viruses spontaneously generate defective viral genomes (DVGs). DVGs are unable to complete an infectious cycle autonomously and depend on coinfection with a wild-type helper ...
Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels
We study integro-differential elliptic equations (of order 2s$2s$) with variable coefficients, and prove the natural and most general Schauder-type estimates that can hold in this setting, both in divergence and non-divergence ...
On the boundedness of solutions of a forced discontinuous oscillator
We study the global boundedness of the solutions of a non-smooth forced oscillator with a periodic and real analytic forcing. We show that the impact map associated with this discontinuous equation becomes a real analytic ...
Topological Moduli Space For Germs Of Holomorphic Foliations III: Complete Families
In this work we use our previous results on the topological classification of generic singular foliation germs on (C^2 , 0) to construct complete families: after fixing the semi-local topological invariants we prove the ...
Darboux, Moser and Weinstein theorems for prequantum systems and applications to geometric quantization
We establish analogs of the Darboux, Moser and Weinstein theorems for prequantum systems. We show that two prequantum systems on a manifold with vanishing first cohomology, with symplectic forms defining the same cohomology ...
On the chromatic number of powers of subdivisions of graphs
For a given graph G = (V,E), we define its nth subdivision as the graph obtained from G by replacing every edge by a path of length n. We also define the mth power of G as the graph on vertex set V where we connect every ...
Comparative analysis of the yields of dicentrics and chromosomal translocations
Purpose: Chromosomal dicentrics and translocations are commonly employed as biomarkers to estimate radiation doses. The main goal of this article is to perform a comparative analysis of yields of both types of aberrations. ...
Myelin dystrophy impairs signal transmission and working memory in a multiscale model of the aging prefrontal cortex
Normal aging leads to myelin alterations in the rhesus monkey dorsolateral prefrontal cortex (dlPFC), which are positively correlated with degree of cognitive impairment. It is hypothesized that remyelination with shorter ...
Phase Field Model for Multi-Material Shape Optimization of Inextensible Rods
We derive a model for the optimization of the bending and torsional rigidities of nonhomogeneous elastic rods. This is achieved by studying a sharp interface shape optimization problem with perimeter penalization, that ...
Characterizing the Spatial Distribution of Mixing and Transport in the Northern Middle Atmosphere During Winter
A three‐dimensional winter (DJF) climatology of Lagrangian diffusivity characterizing eddy mixing and transport in the northern middle atmosphere is presented. To emphasize aspects other than zonal averages, we use the ...
Dynamics around the Earth-Moon triangular points in the Hill restricted 4-body problem
This paper investigates the motion of a small particle moving near the triangular points of the Earth-Moon system. The dynamics are modeled in the Hill restricted 4-body problem (HR4BP), which includes the effect of the ...
Tube formulas for valuations in complex space forms
Given an isometry invariant valuation on a complex space form we compute its value on the tubes of sufficiently small radii around a set of positive reach. This generalizes classical formulas of Weyl, Gray and others about ...
Numerical Simulation and Parallel Computing of Acoustic Wave Equation in Isotropic-Heterogeneous Media
In this paper, we consider the numerical implementation of the 2D wave equation in isotropic-heterogeneous media. The stability analysis of the scheme using the von Neumann stability method has been studied. We conducted ...
Invariant manifolds near L1 and L2 in the Sun-Jupiter elliptic restricted three-body problem I
In this paper, we present a way of combining the computation of invariant tori and their stable and unstable manifolds with the multiple shooting technique. We start by showing some of the results of Jorba (Nonlinearity ...
Tent Carleson measures for Hardy spaces
We completely characterize those positive Borel measures mu on the unit ball B(n )such that the Carleson embedding from Hardy spaces H-p into the tent-type spaces T-s(q)(mu) is bounded, for all possible values of 0 < p, ...
The A∞ Condition, ε-Approximators, and Varopoulos Extensions in Uniform Domains
Suppose that Omega subset of Rn+1, n >= 1, is a uniform domain with n-Ahlfors regular boundary and L is a (not necessarily symmetric) divergence form elliptic, real, bounded operator in Omega. We show that the corresponding ...
