caa a22 4500 467891303 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s10955-006-9170-3 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9170-3 Shcherbakov Vadim Laboratory of Large Random Systems, Faculty of Mechanics and Mathematics, Moscow State University, 119992, Moscow, Russia aut Limit Theorems for Random Point Measures Generated by Cooperative Sequential Adsorption [Elektronische Daten] [Vadim Shcherbakov] We consider a finite sequence of random points in a finite domain of finite-dimensional Euclidean space. The points are sequentially allocated in the domain according to the model of cooperative sequential adsorption. The main peculiarity of the model is that the probability distribution of any point depends on previously allocated points. We assume that the dependence vanishes as the concentration of points tends to infinity. Under this assumption the law of large numbers, Poisson approximation and the central limit theorem are proved for the generated sequence of random point measures. Springer Science + Business Media, Inc., 2006 cooperative sequential adsorption with infinite range cooperative effects nationallicence the law of large numbers nationallicence Poisson approximation nationallicence the central limit theorem nationallicence Gaussian random field nationallicence Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/6(2006-09-01), 1425-1441 0022-4715 124:6<1425 2006 124 10955 https://doi.org/10.1007/s10955-006-9170-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9170-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shcherbakov Vadim Laboratory of Large Random Systems, Faculty of Mechanics and Mathematics, Moscow State University, 119992, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/6(2006-09-01), 1425-1441 0022-4715 124:6<1425 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer