The time constant vanishes only on the percolation cone in directed first passage percolation.
The time for a critical nearest particle system to reach equilibrium starting with a large gap.
The total continuity of natural filtrations
The transient M/G/1/0 queue: Some bounds and approximations for light traffic with application to reliability.
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The Truncated Hyper-Poisson Queues: With Balking, Reneging and General Bulk Service Rule
The two uniform infinite quadrangulations of the plane have the same law
We prove that the uniform infinite random quadrangulations defined respectively by Chassaing–Durhuus and Krikun have the same distribution.
The unconditional pointwise convergence of orthogonal seriesin over a von Neumann algebra
The paper is devoted to some problems concerning a convergence of pointwise type in the -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here is the completion of M under the norm .
The uniqueness of invariant measures for Markov operators
It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.
The Uniqueness of the Transfer Function of Linear System from Input-Output Observations.
The unscaled paths of branching brownian motion
For a set A ⊂ C[0, ∞), we give new results on the growth of the number of particles in a branching Brownian motion whose paths fall within A. We show that it is possible to work without rescaling the paths. We give large deviations probabilities as well as a more sophisticated proof of a result on growth in the number of particles along certain sets of paths. Our results reveal that the number of particles can oscillate dramatically. We also obtain new results on the number of particles near the...
The use of fractional calculus in probability
The -deformation of the classical convolution
We study deformations of the classical convolution. For every invertible transformation T:μ ↦ Tμ, we are able to define a new associative convolution of measures by . We deal with the -deformation of the classical convolution. We prove the analogue of the classical Lévy-Khintchine formula. We also show the central limit measure, which turns out to be the standard Gaussian measure. Moreover, we calculate the Poisson measure in the -deformed classical convolution and give the orthogonal polynomials...
The value function in ergodic control of diffusion processes with partial observations II
The problem of minimizing the ergodic or time-averaged cost for a controlled diffusion with partial observations can be recast as an equivalent control problem for the associated nonlinear filter. In analogy with the completely observed case, one may seek the value function for this problem as the vanishing discount limit of value functions for the associated discounted cost problems. This passage is justified here for the scalar case under a stability hypothesis, leading in particular to a "martingale"...
The variogram and estimation error in connection with the assessment of continuous streams.
The vehicle routing problem
The Virgin Island model.
The volume fraction of a non-overlapping germ-grain model.
The von Neumann algebra associated with an infinite number of t-free noncommutative gaussian random variables
We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type .
The voter model with anti-voter bonds