作者：Sudbury, Aidan
作者单位：Monash University
摘要：When gas molecules bind to a surface they may do so in such a way that the adsorption of one molecule inhibits the arrival of others. We consider random sequential adsorption in which the empty sites of a graph are irreversibly occupied in random order by a variety of types of particles. In a finite region the process terminates when no more particles can arrive. A universal asymptotic formula for the mean duration is given.
作者：Jiang, Long
作者单位：China University of Mining & Technology
摘要：Under the continuous assumption on the generator g, Briand et al. [Electron. Comm. Probab. 5 (2000) 101-117] showed some connections between g and the conditional g-expectation (epsilon(g)[.vertical bar F-t])(t is an element of[0,T]) and Rosazza Gianin [Insurance: Math. Econ. 39 (2006) 19-34] showed some connections between g and the corresponding dynamic risk measure (rho(g)(t))(tE[0,T]). In this paper we prove that, without the additional continuous assumption on g, a g-expectation epsilon(g...
作者：Drmota, Michael; Janson, Svante; Neininger, Ralph
作者单位：Technische Universitat Wien; Uppsala University; Goethe University Frankfurt
摘要：We study the profile X-n,X-k of random search trees including binary search trees and m-ary search trees. Our main result is a functional limit theorem of the normalized profile X-n,X-k/EXn,k for k = [alpha logn] in a certain range of alpha. A central feature of the proof is the use of the contraction method to prove convergence in distribution of certain random analytic functions in a complex domain. This is based on a general theorem concerning the contraction method for random variables in ...
