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Finally, we note that by the nature in which this proof discovers the inertially arbitrary patterns, starting with the ones with the fewest entries, (and the fact that no pattern in
To this end we introduce a comparison finite state Markov chain which will be “close” to the non-Markov process obtained by looking at the n sites to the left of the rightmost
Logarithmic Sobolev Inequality for Zero–Range Dynamics: Independence of the Number of Particles.. Paolo
Li, Strong p -completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds. Strichartz, Harmonic analysis on constant curvature
In this paper we shall derive asymptotic expansions of the Green function and the transition probabilities of Markov additive (MA) processes ( ξ n , S n ) whose first
Returning to the setting of finite Markov chains, it was mentioned above that the random transposition random walk on the symmetric group S n was the first example for which a
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
In the next Subsection we use free field resolutions (so called butterfly resolutions) of irre- ducible N = 2 Virasoro algebra modules to represent free field construction of
