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This will be, also, the main advantage comparatively at the above mentionated formulas which require a given number of points who are usually in a specified position in the domain
By a digraph we understand a finite directed graph with no multiple edges, but possibly loops.. We denote the
To under- stand why the corresponding statement of Theorem 1.1 could fail for directed graphs we connect the Laplacian for a directed graph with the Laplacian for a
The motivation in these papers, as here, is to ask whether an asymptotically stable deterministic system will remain (almost surely) asymptotically stable when it is subjected to
For a graph G , write Coex( G ) for the set of all λ ≥ 1 such that there exists an initial configuration ξ ∈ { 0, 1, 2 } V which has only finitely many infected sites of each type
d for d ≥ 2 with a positive Lyapunov exponent, and show that any nontrivial connected set almost surely contains points whose distance from the origin under the flow grows linearly
We present a class of graphs where simple random walk is recurrent, yet two independent walkers meet only finitely many times almost surely.. In particular, the comb lattice,
and Tripathy, B.C., Strongly almost convergent generalized difference sequences associated with multiplier sequences , Math.Slovaca, 57(4),(2007), 339-348.. and Tripathy, B.K., On a
