Theory of Probability and Its Applications
Volume 48, Number 2
An English translation of the June 2003 issue of the Russian journal Teonya Veroyatnostei i ee Primeneniya
CONTENTS
iii Dedication to A. N. Kolmogorov Articles
191 From the Heritage of A. N. Kolmogorov: The Theory of Probability A. N. Kolmogorov
221 On Some Inequalities Connected to the Strong Law of Large Numbers A. N. Kolmogorov
226 Asymptotics of Crossing Probability of a Boundary by the Trajectory of a Markov Chain:
Exponentially Decaying Tails A. A. Borovkov
243 Entanglement-Assisted Capacities of Constrained Quantum Channels A. S. Holevo
256 Estimation of Multivariate Regression /. A. Ibragimov
273 Lower Functions of Empirical Processes and Brownian Sheets M. A. Lifshits and Z Shi
288 Martingales and First-Passage Times for Ornstein-Uhlenbeck Processes with a Jump Component
A. Novikov
304 On the Problem of Stochastic Integral Representations of Functionals of the Brownian Motion. I
A. N. Shiryaev and M. Yor
314 Galton-Watson Branching Processes in a Random Environment I: Limit Theorems V. A. Vatutin and E. E. Dyakonova
Short Communications
337 Separating Times for Measures on Filtered Spaces A. S. Chemy and M. A. Urusov
347 Normal and Poisson Convergencies V. M. Kruglov
355 Distribution of the Fractional Parts of Random Vectors: The Gaussian Case. I A. A. Kulikova and Yu. V. Prokhorov
359 Integral Equations and Phase Transitions in Stochastic Games. An Analogy with Statistical Physics
V. P. Maslov
368 One Probabilistic Equivalent of the Four Color Conjecture Yu, V. Matiyasevich
373 Kolmogorov's Example (A Survey of Actions of Infinite-Dimensional Groups with an Invariant Probability Measure)
A. M. Vershik
379 News of Scientific Life
