Soft edge results for longest increasing paths on the planar lattice.
Soft local times and decoupling of random interlacements
In this paper we establish a decoupling feature of the random interlacement process at level , . Roughly speaking, we show that observations of restricted to two disjoint subsets and of are approximately independent, once we add a sprinkling to the process by slightly increasing the parameter . Our results differ from previous ones in that we allow the mutual distance between the sets and to be much smaller than their diameters. We then provide an important application of this...
Sojourn time distributions in a Markovian G-queue with batch arrival and batch removal.
Sojourn time in ℤ+ for the Bernoulli random walk on ℤ
Let (Sk)k≥1 be the classical Bernoulli random walk on the integer line with jump parameters p ∈ (0,1) and q = 1 − p. The probability distribution of the sojourn time of the walk in the set of non-negative integers up to a fixed time is well-known, but its expression is not simple. By modifying slightly this sojourn time through a particular counting process of the zeros of the walk as done by Chung & Feller [Proc. Nat. Acad. Sci. USA 35 (1949) 605–608], simpler representations may be obtained...
Sojourn time in ℤ+ for the Bernoulli random walk on ℤ
Let (Sk)k≥1 be the classical Bernoulli random walk on the integer line with jump parameters p ∈ (0,1) and q = 1 − p. The probability distribution of the sojourn time of the walk in the set of non-negative integers up to a fixed time is well-known, but its expression is not simple. By modifying slightly this sojourn time through a particular counting process of the zeros of the walk as done by Chung & Feller [Proc. Nat. Acad. Sci....
Sojourn times.
Sojourn times for the Brownian motion.
Solidarity Properties and a Doeblin Decomposition for a Class of Non-Markovian Stochastic Processes.
Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise.
Solution explicite de l’équation
Solution of a Statistical Optimization Problem by Rearrangement Methods.
Solution of a Transient State, Limited Space Queueing Problem with Arrival and Departure Rates Depending on Queue Length
Solution of the marginal problem and decomposable distributions
Solution to the optimality equation in a class of Markov decision chains with the average cost criterion
Solutions de tournois : un spicilège
L'article passe en revue quelques Solutions de Tournois (correspondances de choix définies sur les tournois). On compare ces solutions entre elles, et on mentionne certaines de leurs propriétés.
Solutions faibles et semi-martingales
Solutions of stochastic differential equations obeying the law of the iterated logarithm, with applications to financial markets.
Solutions statistiques homogènes des systèmes différentiels paraboliques et du système de Navier-Stokes
Solvability of Kolmogorov-Fokker-Planck equations for vectorjump processes and occupation time on hypersurfaces.
Some additional remarks on Fock space stochastic calculus