Centre de Recerca Matemàtica: Recent submissions
Now showing items 121-140 of 1306
The Regularity Problem For The Laplace Equation In Rough Domains
Let Omega subset of Rn+1, n >= 2 be a bounded open and connected set satisfying the corkscrew condition with uniformly n-rectifiable boundary. In this paper we study the connection among the solvability of (D-p '), the ...
A Novel Algebraic Approach To Time-Reversible Evolutionary Models
In the last years, algebraic tools have been proven useful in phylogenetic reconstruction and model selection through the study of phylogenetic invariants. However, up to now, the models studied from an algebraic viewpoint ...
Invariant Manifolds of Degenerate Tori and Double Parabolic Orbits to Infinity in the (n + 2)-Body Problem
There are many interesting dynamical systems in which degenerate invariant tori appear. We give conditions under which these degenerate tori have stable and unstable invariant manifolds, with stable and unstable directions ...
Nonsmooth Pitchfork Bifurcations in a Quasi-Periodically Forced Piecewise-Linear Map
We study a family of one-dimensional quasi-periodically forced maps Fa,b(x, θ) = (fa,b(x, θ),θ + ω), where x is real, θ is an angle, and ω is an irrational frequency, such that fa,b(x, θ) is a real piecewise-linear map ...
Product-free sets in the free group
We prove that product-free subsets of the free group over a finite alpha- bet have maximum upper density 1/2 with respect to the natural measure that assigns total weight one to each set of irreducible words of a given length. ...
Arnold diffusion for an a priori unstable Hamiltonian system with 3 + 1/2 degrees of freedom
In this work we study the Arnold diffusion phenomenon on a concrete example of an a priori unstable Hamiltonian system with 3+1/2 degrees of freedom. Thanks to our mechanism, based on iterations of scattering and inner ...
Cyclic coverings of genus 2 curves of Sophie Germain type
We consider cyclic unramified coverings of degree d of irreducible complex smooth genus 2 curves and their corresponding Prym varieties. They provide natural examples of polarized abelian varieties with automorphisms of ...
STABLE CONES IN THE THIN ONE-PHASE PROBLEM
Abstract. The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one-phase free boundary problem. The problem of classifying stable (or minimal) homogeneous solutions in dimensions n ≥ 3 ...
On the effect of the sun on Kordylewski clouds
In this paper, we focus on the existence of dust clouds moving near the triangular points of the Earth–Moon system, the so-called Kordylewski clouds. The study is based on using some simplified planar models to find possible ...
Time-dependent ligand-receptor binding kinetics and functionality in a heterodimeric receptor model
GPCRs heteromerize both in CNS and non-CNS regions. The cell uses receptor heteromerization to modulate receptor functionality and to provide fine tuning of receptor signaling. In order for pharmacologists to explore these ...
A unified approach to inequalities for K-functionals and moduli of smoothness
The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified approach based on Holmstedt formulas to ...
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
There are many classical results, related to the Denjoy–Wolff theorem, concerning the relationship between orbits of interior points and orbits of boundary points under iterates of holomorphic self-maps of the unit disc. ...
Optimal dispersal and diffusion-enhanced robustness in two-patch metapopulations: origin’s saddle-source nature matters
A two-patch logistic metapopulation model is investigated both analytically and numerically focusing on the impact of dispersal on population dynamics. First, the dependence of the global dynamics on the stability type of ...
∞-OPERADS AS SYMMETRIC MONOIDAL ∞-CATEGORIES
We use Lurie’s symmetric monoidal envelope functor to give two new descriptions of ∞-operads: as certain symmetric monoidal ∞-categories whose underlying symmetric monoidal ∞-groupoids are free, and as certain symmetric ...
ORDINARY PRIMES FOR SOME VARIETIES WITH EXTRA ENDOMORPHISMS
Let A be an abelian variety defined over a number field and of dimension g. When g ≤ 2, by the recent work of Sawin, we know the exact (nonzero) value of the density of the set of primes which are ordinary for A. In higher ...
The Arnold conjecture for singular symplectic manifolds
In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of bm-symplectic manifolds. Novel techniques are introduced to associate smooth symplectic ...
Lattice Path Matroids and Quotients
We characterize the quotients among lattice path matroids (LPMs) in terms of their diagrams. This characterization allows us to show that ordering LPMs by quotients yields a graded poset, whose rank polynomial has the ...
On hierarchical competition through reduction of individual growth
We consider a population organised hierarchically with respect to size in such a way that the growth rate of each individual depends only on the presence of larger individuals. As a concrete example one might think of a ...
EXISTENCE OF PRINCIPAL VALUES OF SOME SINGULAR INTEGRALS ON CANTOR SETS, AND HAUSDORFF DIMENSION
Consider a standard Cantor set in the plane of Hausdorff dimension 1. If the linear density of the associated measure µ vanishes, then the set of points where the principal value of the Cauchy singular integral of µ exists ...
Invariant manifolds of maps and vector fields with nilpotent parabolic tori
We consider analytic maps and vector fields defined in R2×Td, having a d-dimensional invariant torus T. The map (resp. vector field) restricted to T defines a rotation of Diophantine frequency vector ω∈Rd, and its derivative ...
