CRM Articles: Recent submissions
Now showing items 1-20 of 719
Complete 3-manifolds of positive scalar curvature with quadratic deca
We prove that if an orientable 3-manifold M admits a complete Riemannian mètric whose scalar curvature is positive and has a subquadratic decay at infinity, then it decomposes as a (possibly infinite) connected sum of ...
Ergodic properties of infinite extension of symmetric interval exchange transformations
We prove that skew products with the co cycle given by the function f (x) = a(x-1/2) with a not equal 0 are ergodic for every ergodic symmetric IET in the base, thus giving the full characterization of ergodic extensions ...
‘t Hooft bundles on the complete flag threefold and moduli spaces of instantons
In this work we study the moduli spaces of instanton bundles on the flag twistor space F := F (0, 1, 2). We stratify them in terms of the minimal twist supporting global sections and we introduce the notion of (special) ...
Parabolic Saddles and Newhouse Domains in Celestial Mechanics
In McGehee (J Differ Equ 14:70–88, 1973) McGehee introduced a compactification of the phase space of the restricted 3-body problem by gluing a manifold of periodic orbits “at infinity”. Although from the dynamical point ...
Torsion-free modules over commutative domains of Krull dimension one
Let R be a domain of Krull dimension one. We study when the class F of modules over R that are arbitrary direct sums of finitely generated torsion-free modules is closed under direct summands. If R is local, we show that ...
Regularity for the Boltzmann Equation Conditional to Pressure and Moment Bounds
We prove that solutions to the Boltzmann equation without cut-off satisfying pointwise bounds on some observables (mass, pressure, and suitable moments) enjoy a uniform bound in L∞ in the case of hard potentials. As a ...
Packing large balanced trees into bipartite graphs
We prove that for every gamma>0 there exists n(0)is an element of N such that for every n >= n(0) any family of up to n(1/2-gamma) trees having at most (1-gamma)n vertices in each bipartition class can be packed into ...
Capturing the short-term characteristics of a barred galaxy from a single snapshot
Using a dataset of stars from a barred galaxy that provides instantaneous positions and velocities in the sky, we propose a method to identify its key structures, such as the central bar and spiral arms, and to determine ...
Efficient computation of non-archimedean theta functions
We describe an efficient iterative algorithm for the computation of theta functions of non-archimedean Schottky groups and, more generally, of (non-archimedean) discontinuous groups.
Phylogenetic Invariants: From the General Markov to Equivariant Models
In the last decade, some algebraic tools have been successfully applied to phylogenetic reconstruction. These tools are mainly based on the knowledge of equations describing algebraic varieties associated to Markov processes ...
Representational drift as the consequence of ongoing memory storage
Memory systems with biologically constrained synapses have been the topic of intense theoretical study for over thirty years. Perhaps the most fundamental and far-reaching finding from this work is that the storage of new ...
The period of the limit cycle bifurcating from a persistent polycycle
We consider smooth families of planar polynomial vector fields {X mu}mu is an element of Lambda, where Lambda is an open subset of RN, for which there is a hyperbolic polycycle Gamma that is persistent (i.e., such that ...
A connection between quantum dot Dirac operators and ∂ˉ-Robin Laplacians in the context of shape optimization problems
This work addresses Faber-Krahn-type inequalities for quantum dot Dirac operators with nonnegative mass on bounded domains in R2. We show that this family of inequalities is equivalent to a family of Faber-Krahn-type ...
On a Countable Sequence of Homoclinic Orbits Arising Near a Saddle–Center Point
Exponential small splitting of separatrices in the singular perturbation theory leads generally to nonvanishing oscillations near a saddle-center point and to nonexistence of a true homoclinic orbit. It was conjectured ...
The ∂ˉ-Robin Laplacian
We study the family of operators {ℛ_a}_(a∈[0,+∞))associated to the Robin-type problems in a bounded domain Ω⊂R^2 {︄−Δu=f in Ω, 2ν¯∂_(z¯)u+au=0 on ∂Ω, and their dependency on the boundary parameter a as it moves along ...
Explicit minimisers for anisotropic Riesz energies
In this paper we characterise the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisotropic. In particular we show that, if the Fourier ...
Inner functions, Möbius distortion and angular derivatives
We prove that an inner function has finite L(p)-entropy if and only if its accumulated Mobius distortion is in L-p, 0 < p < infinity. We also study the support of the positive singular measures such that their corresponding ...
On the dimension of the boundaries of attracting basins of entire maps
Let f : C -> C be a transcendental entire map from the Eremenko-Lyubich class B, and let zeta be an attracting periodic point of period p. We prove that the boundaries of components of the attracting basin of (the orbit ...
The Rado multiplicity problem in vector spaces over finite fields
We study an analogue of the Ramsey multiplicity problem for additive structures, in particular establishing the minimum number of monochromatic 3-APs in 3-colorings of F3n as well as obtaining the first non-trivial lower ...
Marcinkiewicz–Zygmund inequalities in quasi-Banach function spaces
We obtain Marcinkiewicz-Zygmund (MZ) inequalities in various Banach and quasi-Banach spaces under minimal structural assumptions. Our main results show that the Bernstein inequality in a general quasi-Banach function lattice ...
