Complete convergence and complete moment convergence for weighted sums of m-NA random variables [PDF]
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Wu, Yongfeng +2 more
openaire +2 more sources
A complete convergence theorem for voter model perturbations
We prove a complete convergence theorem for a class of symmetric voter model perturbations with annihilating duals. A special case of interest covered by our results is the stochastic spatial Lotka-Volterra model introduced by Neuhauser and Pacala [Ann ...
Cox, J. Theodore, Perkins, Edwin A.
core +1 more source
Relaxation rate, diffusion approximation and Fick's law for inelastic scattering Boltzmann models [PDF]
We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified model of Maxwell molecules first, we give a complete spectral analysis, and deduce from it the optimal rate ...
Bertrand Lods +3 more
core +4 more sources
On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]
We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario +2 more
core +1 more source
Complete convergence for weighted sums of arrays of random elements
Let {Xnk:k,n=1,2,…} be an array of row-wise independent random elements in a separable Banach space. Let {ank:k,n=1,2,…} be an array of real numbers such that ∑k=1∞|ank|≤1 and ∑n=1∞exp(−α/An)
Robert Lee Taylor
doaj +1 more source
Complete characterization of convergence to equilibrium for an inelastic Kac model
Pulvirenti and Toscani introduced an equation which extends the Kac caricature of a Maxwellian gas to inelastic particles. We show that the probability distribution, solution of the relative Cauchy problem, converges weakly to a probability distribution ...
A. Pulvirenti +28 more
core +1 more source
Numerical Integration of Nonlinear Wave Equations for General Relativity [PDF]
A second-order numerical implementation is given for recently derived nonlinear wave equations for general relativity. The Gowdy T$^3$ cosmology is used as a test bed for studying the accuracy and convergence of simulations of one-dimensional nonlinear ...
A. Abramovici +11 more
core +2 more sources
Two modified proximal point algorithms in geodesic spaces with curvature bounded above
We obtain existence and convergence theorems on two variants of the proximal point algorithm for proper lower semicontinuous convex functions in complete geodesic spaces with curvature bounded above.Comment: 22 pages; some minor corrections were ...
Brown, André EX +11 more
core +3 more sources
ABSTRACT Background Parents of children treated for acute lymphoblastic leukemia (ALL) often experience significant caregiver burden and disruption to their well‐being. While parent quality of life (QoL) during treatment is well characterized, little is known about outcomes during early survivorship.
Sara Dal Pra +3 more
wiley +1 more source
On complete convergence for randomly indexed sums for a case without identical distributions
In this note we extend the complete convergence for randomly indexed sums given by Klesov (1989) to nonidentical distributed random variables.
Anna Kuczmaszewska, Dominik Szynal
doaj +1 more source

