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We present a perfect simulation algorithm for measures that are absolutely continuous with respect to some Poisson process and can be obtained as invariant measures of birth-and-death processes. Examples include areaand perimeter-interacting point processes (with stochastic grains), invariant measures of loss networks, and the Ising contour and random… (More)

We present a probabilistic approach for the study of systems with exclusions, in the regime traditionally studied via cluster-expansion methods. In this paper we focus on its application for the gases of Peierls contours found in the study of the Ising model at low temperatures, but most of the results are general. We realize the equilibrium measure as the… (More)

We study one dimensional continuous loss networks with length distribution G and cable capacity C. We prove that the unique stationary distribution L of the network for which the restriction on the number of calls to be less than C is imposed only in the segment ?L; L] is the same as the distribution of a stationary M=G=1 queue conditioned to be less than C… (More)

We consider infinite order chains whose transition probabilities depends on a finite suffix of the past. These suffixes are of variable length and the set of the lengths of all suffix is unbounded. We assume that the probability transitions for each of these suffixes are continuous with exponential decay rate. For these chains, we prove the weak consistency… (More)

Birth and death processes can be constructed as projections of higher dimensional Poisson processes. The existence and uniqueness in the strong sense of the solutions of the time change problem are obtained. It is shown that the solution of the time change problem is equivalent to the solution of the corresponding martingale problem. Moreover , the… (More)

Spatial birth and death processes are obtained as solutions of a system of stochastic equations. The processes are required to be locally finite, but may involve an infinite population over the full (noncompact) type space. Conditions are given for existence and uniqueness of such solutions, and for temporal and spatial ergodicity. For birth and death… (More)

- BY ANTONIO GALVES, CHARLOTTE GALVES, JESÚS E. GARCÍA, NANCY L. GARCIA, FLORENCIA LEONARDI
- 2009

0, Vol. 0, No. 00, 1–24 DOI: 10.1214/11-AOAS511 © Institute of Mathematical Statistics, 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 CONTEXT TREE SELECTION AND… (More)

Perfect simulation of an one-dimensional loss network on R with length distribution π and cable capacity C can performed using the clan of ancestors method. Domination of the clan of ancestors by a branching process with dependency in two generations improves the known sufficient conditions for the perfect scheme to be applicable.

The projection method obtains non-trivial point processes from higher dimensional Poisson point processes by constructing a random subset of the higher dimensional space and projecting the points of the Poisson process lying in that set onto the lower dimensional region. This paper presents a review of this method related to spatial point processes as well… (More)

- Nancy L Garcia, Mark L McMulkin, Bryan J Tompkins, Paul M Caskey, Shelley L Mader, Glen O Baird
- Pediatric physical therapy : the official…
- 2011

PURPOSE
To investigate the effect of treated clubfoot disorder on gross motor skill level measured by the Alberta Infant Motor Scale (AIMS).
METHODS
Fifty-two babies participated: 26 were treated for idiopathic clubfoot (12 with the Ponseti treatment method, 9 with the French physical therapy technique, and 5 with a combination of both methods); 26 were… (More)