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The smallest number of steps needed to reach all nonnegative local states of a positive two-dimensional (2-D) system is the local reachability index of the system.. The study of such
Universally optimal matrices are used to establish field independence of minimum rank for numerousgraphs.. Examplesare also provided verifying lack of field independence for
In the case where all summands have the same conditional distribution given that they are non-zero, a bound on the relative entropy distance between their sum and the compound
Under the assumption of independence of the RW and of the RS (assumed in all the above cited works), it allows to study separately the convergence of the local time associated with
For example, in [ 3 ] the uniqueness of the stochastic linear transport equation with Hölder continuous drift was proved, through new results about stochastic flows of class C 1,
In analogy with Theorem 2.2 of the homogeneous case, in the general case too the same relation between the cardinality of the support of the derivative measure and the number
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
In this article, we will explore why Karlin-McGregor method of using orthogonal polynomials in the study of Markov processes was so successful for one dimensional nearest
