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Universally optimal matrices are used to establish field independence of minimum rank for numerousgraphs.. Examplesare also provided verifying lack of field independence for
In this paper some of the results on the topology of the Martin boundary are obtained under the assumption that the t-Martin boundaries of the components ( X ( n )) and ( Y ( n ))
The paper studies the exponential and non–exponential convergence rate to zero of solutions of scalar linear convolution Itˆ o-Volterra equations in which the noise intensity
In this note the almost sure convergence of stationary, ϕ -mixing sequences of random variables with values in real, separable Banach spaces according to summability methods is
In Section 4.1, we show that under an assumption on the decay of the cluster size distribution of a process that dominates the forest-fire process, the forest-fire process with
A consequence of the weak convergence of coalescing nonsimple random walks to the Brownian web is that, for the dual one-dimensional voter model with initial condition 1’s on
Key words: Weak convergence, Bernoulli random walks, Brownian meander, bridge, ex- cursion, peaks.... } be the set of
When α < 1 the tendency to reduce the chance of a large exit place completely overwhelms the tendency of the drift to increase the chance and so we get dimensional independence
