Probability Theory and Applications

Frontmatter -- Contents -- Preface -- Greeting -- Opening Talk -- Algorithms And Randomness -- Self Similar Processes In Probability Theory And Statistics (Session 9 - Chairman: Ya.G. Sinay) -- INVITED PAPERS -- Limit theorems in statistical physics; on Dyson's hierarchical model -- Statistical aspects of self-similar processes -- Toeplitz matrices and estimation of time series with long-range dependence -- Contributed Papers -- Universal behavior and stochasticity for one dimensional systems -- A birth and death process in random environment -- Spectral properties of some finite-difference and differential operators with random coefficients -- Point Processes In Probability Theory And Statistics (Session 10 - Chairman: D. Stoyan) -- Invited Papers -- Parametric and non-parametric estimation for pairwise-interaction point processes -- On the theory of conditioning in point processes -- Contributed Papers -- On The Exponentiality Of Total Hazards Before Failure -- Sufficient regularity conditions for jump processes -- Statistics with diffusion crossing times -- Ruin probabilities in the "non-renewal" case -- A note on the asymptotic behaviour of the empirical score in Cox's regression model for counting processes -- Comparison of Cox's and maximum likelihood estimates for matched experiments in survival data with censoring -- On the conditions providing for the moments of number of zeros of a vector Gaussian field to be finite -- The inverses of thinned point processes -- Foundations Of Probability Theory (Session 17 - Chairman: D. Lane) -- Invited Papers -- An epistemic justification of the law of total probability -- Contributed Papers -- Individual Random Continuous Functions -- Some Estimates For Nonstochastic Sequences -- Nonstandard Analysis In Probability Theory (Session 19 - Chairman: E. Perkins) -- Invited Papers -- Nonstandard Constructions Of Diffusions And Related Processes -- Nonstandard analysis in probability theory -- Contributed Papers -- Adapted distribution -- Hyperfinite methods for multidimensional stochastic processes -- Combinatorial Methods In Probability Theory (Session 20 - Chairman: B.S. Stechkin) -- Invited Papers -- Random mappings and branching processes -- On probability methods in combinatorial analysis -- Contributed Papers -- Neighbourhood Spaces And Maps -- Percolation theory. Coincidence of the critical values PH = PT -- Evolution on random mappings -- On the distribution of the number of vertices in strata of a random forest -- Queing Theory (Network, Computer-User Models, Stability ...) (Session 22 - Chairman: R. Schassberger) -- Invited Papers -- Stationary queueing systems. Existence and stability -- Ergodicity and asymptotic behaviour of multi-type branching processes arising in random-access communication systems -- Insensitive service schemes and partial balance -- Contributed Papers -- Queueing networks and operator-selfdecomposability -- Insensitivity in queueing networks with generalized processor-sharing discipline -- Markov Processes (Session 24 - Chairman: Y. Le Jan) -- Invited Papers -- Intrinsic properties of Markov processes -- Reversible diffusion processes on manifolds -- The entropy production and reversibility of Markov processes -- Contributed Papers -- The theory of shuffling - an application of non-homogeneous Markov chains -- Asymptotic periodicity of the iterates of Markov operators -- Homogeneous transition functions and dual semigroups -- On the arcsine law in the adaptive control of Markov chains -- Random Fields And Percolation Theory (Session 25 - Chairman: Y. Higuchi) -- Invited Papers -- Random sets and Markov fields -- Central limit results for random fields -- Recent progress in percolation -- Contributed Papers -- Uniqueness of Gibbs measures and absorption probabilities -- A decomposition theorem for binary Markov random fields -- Percolation problem for the two-dimensional Ising model -- Probabilistic models of the growth of epithelial tumors -- On the hom