Achim Wuebker

most cited

L^{2}

-spectral gaps for time discrete reversible Markov chains

6 citations · 9 across the 3 of their papers we have counts for

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math.PR2009★ 6 cited

$L^{2}$ -spectral gaps for time discrete reversible Markov chains

Achim Wuebker

In this paper we study the spectral properties of Markov-operator on $L^{2}$ -spaces. Lawler and Sokal (Trans. Amer. Math. Soc., 1988, 309, pp. 557-580) used isoperimetric constants…

math.PR2009★ 3 cited

$L^{2}$ -spectral gaps, weak-reversible and very weak-reversible Markov chains

Achim Wuebker, Zakhar Kabluchko

The theory of $L^{2}$ -spectral gaps for reversible Markov chains has been studied by many authors. In this paper we consider positive recurrent general state space Markov chains with…

math.PR2009

Asymptotic optimality of isoperimetric constants with respect to $L^{2} (π)$ -spectral gaps

Achim Wuebker

In this paper we investigate the existence of $L^{2} (π)$ -spectral gaps for $π$ -irreducible, positive recurrent Markov chains on general state space. We obtain necessary and suffici…

L2-spectral gaps for time discrete reversible Markov chains

L2-spectral gaps, weak-reversible and very weak-reversible Markov chains

Asymptotic optimality of isoperimetric constants with respect to L2(π)-spectral gaps

$L^{2}$ -spectral gaps for time discrete reversible Markov chains

$L^{2}$ -spectral gaps, weak-reversible and very weak-reversible Markov chains

Asymptotic optimality of isoperimetric constants with respect to $L^{2} (π)$ -spectral gaps