Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Granovsky, Boris L."'
Autor:
Granovsky, Boris L., Stark, Dudley
A theorem of Meinardus provides asymptotics of the number of weighted partitions under certain assumptions on associated ordinary and Dirichlet generating functions. The ordinary generating functions are closely related to Euler's generating function
Externí odkaz:
http://arxiv.org/abs/1311.2254
We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time $t\ge 0$ are time homogeneous. Based on this, we provide a characterization of mean-f
Externí odkaz:
http://arxiv.org/abs/0711.0503
We give a probalistic proof of the famous Meinardus' asymptotic formula for the number of weighted partitions with weakened one of the three Meinardus' conditions, and extend the resulting version of the theorem to other two classis types of decompos
Externí odkaz:
http://arxiv.org/abs/math/0701584
Autor:
Granovsky, Boris L.
We establish necessary and sufficient conditions for convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. We show that this convergence is equivalent to asymptotic independence of finite
Externí odkaz:
http://arxiv.org/abs/math/0511381
Autor:
Granovsky, Boris L., Stark, Dudley
Publikováno v:
Journal London Math. Soc. (2) 73 (2006) 252-272
Given a sequence of integers $a_j, j\ge 1,$ a multiset is a combinatorial object composed of unordered components, such that there are exactly $a_j$ one-component multisets of size $j.$ When $a_j\asymp j^{r-1} y^j$ for some $r>0$, $y\geq 1$, then the
Externí odkaz:
http://arxiv.org/abs/math/0407322
Publikováno v:
Queuing systems 46, 363-388 (2004)
The paper is devoted to the estimation of the rate of of exponential convergence of nonhomogeneous queues exhibiting different types of ergodicity. The main tool of our study is the method, which was proposed by the second author in the late 1980-s a
Externí odkaz:
http://arxiv.org/abs/math/0311142
Autor:
Granovsky, Boris L.
Publikováno v:
Published in: Markov Processes Relat.Fields,8,527-546(2002)
We establish a characterization of the class of the simplest nearest neighbor spin systems possesing the mean coverage function (mcf) that obeys a second order differential equation, and derive explicit expressions for the mcf's of the above models.
Externí odkaz:
http://arxiv.org/abs/math/0207217
Publikováno v:
Transactions of the American Mathematical Society, 2005 Jun 01. 357(6), 2483-2507.
Externí odkaz:
https://www.jstor.org/stable/3845264
Publikováno v:
Journal of Applied Probability, 2012 Sep 01. 49(3), 612-626.
Externí odkaz:
https://www.jstor.org/stable/41713793
Publikováno v:
International Statistical Review / Revue Internationale de Statistique, 1991 Dec 01. 59(3), 373-388.
Externí odkaz:
https://www.jstor.org/stable/1403693