CRM Articles: Recent submissions
Now showing items 301-320 of 713
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation
We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite gap solutions. These are ...
Influence of Red and Yellow cards on team performance in elite soccer
The aim of the current study is to analyze the effects of red and yellow cards on the scoring rate in elite soccer. The sample was composed of 1826 matches in the top five European leagues. All events were structured in ...
Iterates of Blaschke Products and Peano Curves
Let $f$ be a finite Blaschke product with $f(0)=0$, which is not a rotation and let $f^{n}$ be its $n$-Th iterate. Given a sequence $\{a_{n}\}$ of complex numbers consider $F= \sum a_n f^{n}$. If $\{a_n\}$ tends to $0$ but ...
The global regularity of vortex patches revisited
We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous ...
Temporal integration is a robust feature of perceptual decisions
Making informed decisions in noisy environments requires integrating sensory information over time. However, recent work has suggested that it may be difficult to determine whether an animal's decision-making strategy ...
Effects of short-term plasticity in UP-DOWN cortical dynamics
Neuronal dynamics are strongly influenced by short-term plasticity (STP), that is, changes in synaptic efficacy that occur on a short (from milliseconds to seconds) time scale. Depending on the brain areas considered, STP ...
Modelling mass transfer from a packed bed by fluid extraction
A mathematical model describing the erosion or leaching of a solid material by a flowing fluid in a column is developed. This involves an advection-diffusion equation coupled to a linear kinetic reaction describing the ...
Turing Universality of the Incompressible Euler Equations and a Conjecture of Moore
In this article, we construct a compact Riemannian manifold of high dimension on which the time-dependent Euler equations are Turing complete. More precisely, the halting of any Turing machine with a given input is equivalent ...
Escape Times Across the Golden Cantorus of the Standard Map
We consider the Chirikov standard map for values of the parameterlarger than but close to Greene’s kG. We investigate the dynamics near thegolden Cantorus and study escape rates across it.Mackay [17, 19]described the ...
Ecological firewalls for synthetic biology
It has been recently suggested that engineered microbial strains could be used to protect ecosystems from undesirable tipping points and biodiversity loss. A major concern in this context is the potential unintended ...
On the equilateral pentagonal central configurations
An equilateral pentagon is a polygon in the plane with five sides of equal length. In this paper we classify the central configurations of the 5-body problem having the five bodies at the vertices of an equilateral pentagon ...
Dynamical mechanism behind ghosts unveiled in a map complexification
Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ...
Membrane rigidity regulates E. coli proliferation rates
Combining single cell experiments, population dynamics and theoretical methods of membrane mechanics, we put forward that the rate of cell proliferation in E. coli colonies can be regulated by modifiers of the mechanical ...
Crofton formulas in pseudo-Riemannian space forms
Crofton formulas on simply connected Riemannian space forms allow the volumes, or more generally the Lipschitz-Killing curvature integrals of a submanifold with corners, to be computed by integrating the Euler characteristic ...
Asymptotics of Twisted Alexander Polynomials and Hyperbolic Volume
For a hyperbolic knot and a natural number n, we consider the Alexander polynomial twisted by the n-th symmetric power of a lift of the holonomy. We establish the asymptotic behavior of these twisted Alexander polynomials ...
Discrete Melnikov functions
We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. ...
A method to predict the response to directional selection using a Kalman filter
Predicting evolution remains challenging. The field of quantitative genetics provides predictions for the response to directional selection through the breeder's equation, but these predictions can have errors. The sources ...
Mechano-chemical feedback mediated competition for BMP signalling leads to pattern formation
Developmental patterning is thought to be regulated by conserved signalling pathways. Initial patterns are often broad before refining to only those cells that commit to a particular fate. However, the mechanisms by which ...
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
Consider the Restricted Planar Circular 3 Body Problem. If the trajectory of the body of zero mass is defined for all time, it can have the following four types of asymptotic motion when time tends to infinity forward or ...
Removable singularities for Lipschitz caloric functions in time varying domains
In this paper we study removable singularities for regular .1; 1=2/-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric ...
