CRM Articles: Enviaments recents
Ara mostrant els elements 241-260 de 713
THE SCHEME OF CHARACTERS IN SL2
The aim of this article is to study the SL2(C)–character scheme of a finitely generated group. Given a presentation of a finitely generated group Γ, we give equations defining the coordinate ring of the scheme of ...
Rapid memory encoding in a recurrent network model with behavioral time scale synaptic plasticity
Episodic memories are formed after a single exposure to novel stimuli. The plasticity mechanisms underlying such fast learning still remain largely unknown. Recently, it was shown that cells in area CA1 of the hippocampus ...
Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics
Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated with various ...
Two-Dimensional Hardy–Littlewood Theorem for Functions with General Monotone Fourier Coefficients
We prove the Hardy–Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and, importantly, are not necessarily positive. The sharpness of the result is given by ...
THE REGULARITY OF THE BOUNDARY OF VORTEX PATCHES FOR SOME NONLINEAR TRANSPORT EQUATIONS
We prove the persistence of boundary smoothness of vortex patches for a nonlinear transport equation in Rn. with velocity field given by convolution of the density with an odd kernel, homogeneous of degree −(n−1) and of ...
Some mechanisms leading to underdispersion: Old and new proposals
In statistical modeling, it is important to know the mechanisms that cause underdispersion. Several mechanisms that lead to underdispersed count distributions are revisited from new perspectives, and new ones are introduced. ...
Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space
We study foliations by curves on the three-dimensional projective space with no isolated singularities, which is equivalent to assuming that the conormal sheaf is locally free. We provide a classification of the topological ...
Counting configurations of limit cycles and centers
We present several results on the determination of the number and distribution of limit cycles or centers for planar systems of differential equations. In most cases, the study of a recurrence is one of the key points of ...
Increased extinction probability of the Madden-Julian Oscillation after about 27 days
The Madden-Julian oscillation (MJO) is a tropical weather system that has an important influence in the tropics and beyond; however, many of its characteristics are poorly understood, including their initiation and ...
Optimal regularity for supercritical parabolic obstacle problems
We study the obstacle problem for parabolic operators of the type (Formula presented.), where L is an elliptic integro-differential operator of order 2s, such as (Formula presented.), in the supercritical regime (Formula ...
Hopf bifurcation in 3-dimensional polynomial vector fields
In this work we study the local cyclicity of some polynomial vector fields in R3. In particular, we give a quadratic system with 11 limit cycles, a cubic system with 31 limit cycles, a quartic system with 54 limit cycles, ...
∞-Operads as Analytic Monads
We develop an ∞ -categorical version of the classical theory of polynomial and analytic functors, initial algebras, and free monads. Using this machinery, we provide a new model for ∞ -operads, namely ∞ -operads as analytic ...
On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability)
To describe the dynamics of a size-structured population and its unstructured resource, we formulate bookkeeping equations in two different ways. The first, called the PDE formulation, is rather standard. It employs a ...
Global Schauder theory for minimizers of the Hs(Ω) energy
We study the regularity of minimizers of the functional E(u):=[u]Hs(Ω)2+∫Ωfu. This corresponds to understanding solutions for the regional fractional Laplacian in Ω⊂RN. More precisely, we are interested on the global (up ...
The beauty of language structure: A single-case fMRI study of palindrome creation
Humans seem to be inherently driven to engage in wordplay. An example is the creation of palindromes – sentences that read the same backward and forward. This activity can be framed as a curiosity-driven behaviour, in which ...
Normalizers of chains of discrete p-toral subgroups in compact Lie groups
In this paper we study the normalizer decomposition of a compact Lie group G using the information of the fusion system F of G on a maximal discrete p-toral subgroup. We prove that there is an injective map from the set ...
Convergence of linear combinations of iterates of an inner function
Let f be an inner function with f(0)=0 which is not a rotation and let fn be its n-th iterate. Let {an} be a sequence of complex numbers. We prove that the series ∑anfn(ξ) converges at almost every point ξ of the unit ...
A proxy-based model for estimating VS30 in the Iberian Peninsula
The time-averaged shear-wave velocity in the upper 30 m of the ground, VS30, is a key soil descriptor for estimating site response despite its recognized limitations. It is employed in both, site-specific probabilistic ...
Universality of Euler flows and flexibility of Reeb embeddings
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao [38,39] launched a programme to address the global existence problem for the Euler and ...
Transcranial, Non-Invasive Evaluation of Potential Misery Perfusion during Hyperventilation Therapy of Traumatic Brain Injury Patients
Hyperventilation (HV) therapy uses vasoconstriction to reduce intracranial pressure (ICP) by reducing cerebral blood volume. However, as HV also lowers cerebral blood flow (CBF), it may provoke misery perfusion (MP), in ...
