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We introduce geometric comparison inequalities that give bounds on the eigenvalues of a reversible Markov chain in terms of the eigenvalues of a second chain. The bounds are applied to get sharp resul...
COMPARISON THEOREMS FOR REVERSIBLE MARKOV CHAINS
Geometry inequality reversible markov chain the characteristic value
2015/7/14
We introduce geometric comparison inequalities that give bounds on
the eigenvalues of a reversible Markov chain in terms of the eigenvalues
of a second chain. The bounds are applied to get sharp r...
On comparison theorems for elliptic inequalities
Nonlinear elliptic operators Unbounded domains
2010/11/29
Suppose that is a non-empty open subset of Rn, n ≥ 2. Let us denote: R0,R1 = {x ∈ : R0 < |x| < R1} and R0,R1 = {x ∈ @ : R0 < |x| < R1}. By Bx r we mean the open ball in Rn of radius r > 0 a...