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Let us briefly describe the framework of the Dunkl theory of differential-difference operators on R d related to finite reflection groups.. The
In this paper, we show that the set of translation-invariant monotone couplings of Poisson processes X and Y with rates λ1 > λ2 includes the special class of
Finally, we note that the proof of the convergence (3) of Theorem 2 (which is given in Section 4) works as it is, when we start the Markov chain with a translation invariant
For the one-dimensional totally asymmetric K -exclusion process, which does not have explicit invariant measures, a strong hydrodynamic limit was established in [ 37 ] , starting
Roughly speaking, the Krawtchouk process is a system of non-colliding random walks in discrete time and the Charlier process is the continuous-time analogue (but note that they
It is difficult to find all extremal orthogonality measures for a given set of orthogonal poly- nomials (that is, self-adjoint extensions of a corresponding closed symmetric
We have shown that all classical superintegrable systems with nondegenerate potential on real or complex 3D conformally flat spaces admit 6 linearly independent second order
The results of qualitative analysis of Kirchhoff’s differential equations represented in the paper give evidence that the technique of investigation of mechanical systems, which
