Convergence to Total Occupancy in an Infinite Particle System with Interactions
نویسندگان
چکیده
منابع مشابه
Berry phase for a particle in an infinite spherical potential well with moving wall
In this paper we calculate the Berry phase for a wave function of a particle in an infinite spherical potential well with adiabatically varying. In order to do this, we need the solutions of the corresponding Schrödinger equation with a time dependent Hamiltonian. Here, we obtain these solutions for the first time. In addition, we calculate the Berry phase in one dimensional case for an infinit...
متن کاملConvergence of trajectories in infinite horizon optimization
In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.
متن کاملAN INTRODUCTION TO INFINITE PARTICLE ( jlYSTEMS *
In ‘i970, Spitzer wrote a paper called “Interaction of Markov processes” in which he introduced several classes of interacting particle systems. These processes and other related models, collectively referred to as infinite particle systems, have been the object of much research in the last ten years. In this paper we will survey some of the results which have been obtained and son?.= of the op...
متن کاملSmall counts in the infinite occupancy scheme
The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which n balls are thrown independently into boxes 1, 2, . . ., with probability pj of hitting the box j, where p1 ≥ p2 ≥ . . . > 0 and P∞ j=1 pj = 1. We establish joint normal approximation as n → ∞ for the numbers of boxes containing r1, r2, . . . , rm balls, standardized in the natural way, assuming only...
متن کاملUnivariate approximations in the infinite occupancy scheme
In the classical occupancy scheme with infinitely many boxes, n balls are thrown independently into boxes 1, 2, . . ., with probabilities pj , j ≥ 1. We establish approximations to the distributions of the summary statistics Kn, the number of occupied boxes, and Kn,r, the number of boxes containing exactly r balls, within the family of translated Poisson distributions. These are shown to be of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1974
ISSN: 0091-1798
DOI: 10.1214/aop/1176996494