Browsing Mathematics, Department of by Subject "mirror coupling"
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Efficient Markovian couplings: Examples and counterexamples
(Institute of Mathematical Statistics, 2000-05)In this paper we study the notion of an efficient coupling of Markov processes. Informally, an efficient coupling is one which couples at the maximum possible exponential rate, as given by the spectral gap. This notion ... -
On nodal lines of Neumann eigenfunctions
(Institute of Mathematical Statistics, 2002-06-03)We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.