CRM Articles: Recent submissions
Now showing items 281-300 of 713
Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula
The Restricted 3-Body Problem models the motion of a body of negligible mass under the gravitational influence of two massive bodies called the primaries. If one assumes that the primaries perform circular motions and that ...
Random Cubic Planar Maps
We analyse uniform random cubic rooted planar maps and obtain limiting distributions for several parameters of interest. From the enumerative point of view, we present a unified approach for the enumeration of several ...
Well-posedness of heat and wave equations generated by Rubin’s q-difference operator in Sobolev spaces
In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we consider non-homogenous heat and wave equations for Rubin’s difference operator. Well-posedness results are ...
Dimension of representation and character varieties for two-and three-orbifolds
We consider varieties of representations and characters of 2 and 3 dimensional orbifolds in semisimple Lie groups, and we focus on computing their dimension. For hyperbolic 3 orbifolds, we consider the component of the ...
A METHOD TO COARSE-GRAIN MULTIAGENT STOCHASTIC SYSTEMS WITH REGIONS OF MULTISTABILITY
Hybrid multiscale modeling has emerged as a useful framework for modeling complex biological phenomena. However, when accounting for stochasticity in the internal dynamics of agents, these models frequently become ...
A practical guide for studying human behavior in the lab
In the last few decades, the field of neuroscience has witnessed major technological advances that have allowed researchers to measure and control neural activity with great detail. Yet, behavioral experiments in humans ...
THE EMBEDDING PROBLEM FOR MARKOV MATRICES
Characterizing whether a Markov process of discrete random variables has a homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding when a given Markov matrix can be written ...
ON INVARIANT RANK TWO VECTOR BUNDLES ON P2
In this paper we characterize the rank two vector bundles on P2 which are invariant under the actions of the parabolic subgroups Gp := Stabp(PGL(3)) fixing a point in the projective plane, GL := StabL(PGL(3)) fixing a line, ...
Logan's problem for Jacobi transforms
We consider direct and inverse Jacobi transforms with measures [equaction presented] respectively. We solve the following generalized Logan problem: to find inf Λ ((−1) m−1 f ) , m ∈ N, where Λ (f ) = sup {λ > 0: f (λ) ...
Semiclassical theory predicts stochastic ghosts scaling
Slowing down occurs in dynamical systems close to bifurcations or phase transitions. The time length (τ) of ghost transients close to a saddle-node bifurcation in deterministic systems follows {equation presented} being ...
Invariant manifolds near L1 and L2 in the quasi-bicircular problem
The quasi-bicircular problem (QBCP) is a periodic time-dependent perturbation of the Earth–Moon restricted three-body problem (RTBP) that accounts for the effect of the Sun. It is based on using a periodic solution of the ...
Largest component of subcritical random graphs with given degree sequence
We study the size of the largest component of two models of random graphs with prescribed degree sequence, the configuration model (CM) and the uniform model (UM), in the (barely) subcritical regime. For the CM, we give ...
L2 -Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type
We consider a uniformly elliptic operator LA in divergence form associated with an (n+ 1) × (n+ 1) -matrix A with real, merely bounded, and possibly non-symmetric coefficients. If [Equation not available: see fulltext.]then, ...
Sparse Grid Approximation in Weighted Wiener Spaces
We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grid methods constructed with the help of quasi-interpolation operators. The class of such operators includes ...
A model for boundary dynamics of Baker domains
We consider the transcendental entire function f(z) = z+ e-z, which has a doubly parabolic Baker domain U of degree two, i.e. an invariant stable component for which all iterates converge locally uniformly to infinity, and ...
Estimated Covid-19 burden in Spain: ARCH underreported non-stationary time series
Background: The problem of dealing with misreported data is very common in a wide range of contexts for different reasons. The current situation caused by the Covid-19 worldwide pandemic is a clear example, where the data ...
Comparison of cerebral metabolic rate of oxygen, blood flow, and bispectral index under general anesthesia
Significance: The optical measurement of cerebral oxygen metabolism was evaluated. Aim: Compare optically derived cerebral signals to the electroencephalographic bispectral index (BIS) sensors to monitor propofol-induced ...
An in silico study on the influence of extracellular matrix mechanics on vasculogenesis
Background and objectives: Blood vessels form a network of capillaries throughout the body that perform essential functions for life. Vasculogenesis, i.e. the formation of new blood vessels, is regulated by many factors, ...
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ= 0) and Traub’s method ...
FREE ACTIONS OF GROUPS ON SEPARATED GRAPH C∗-ALGEBRAS
In this paper we study free actions of groups on separated graphs and their C∗-algebras, generalizing previous results involving ordinary (directed) graphs. We prove a version of the Gross-Tucker Theorem for separated ...
