CRM Articles: Recent submissions
Now showing items 181-200 of 713
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 ...
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 ...
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. ...
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 ...
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 ...
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 ...
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 ...
∞-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 ...
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 ...
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 ...
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 ...
Percolation on dense random graphs with given degrees
In this paper, we study the order of the largest connected component of a random graph having two sources of randomness: first, the graph is chosen randomly from all graphs with a given degree sequence, and then bond ...
Thermal structure of the southern Caribbean and northwestern South America: implications for seismogenesis
The seismogenesis of rocks is mainly affected by their mineral composition and in situ conditions (temperature and state of stress). Diverse laboratory experiments have explored the frictional behaviour of the rocks and ...
A CORRESPONDENCE BETWEEN SURJECTIVE LOCAL HOMEOMORPHISMS AND A FAMILY OF SEPARATED GRAPHS
We present a graph-theoretic model for dynamical systems (X, σ) given by a surjective local homeomorphism σ on a totally disconnected compact metrizable space X. In order to make the dynamics appear explicitly in the graph, ...
