COMPARISON THEOREMS FOR THE SPECTRAL GAP OF DIFFUSION PROCESSES AND SCHRÖDINGER OPERATORS ON AN INTERVAL
Published online by Cambridge University Press: 08 December 2005
Abstract
The spectral gaps and thus the exponential rates of convergence to equilibrium are compared for ergodic one-dimensional diffusions on an interval. One of the results may be thought of as the diffusion analogue of a recent result for the spectral gap of one-dimensional Schrödinger operators. The similarities and differences between spectral gap results for diffusions and for Schrödinger operators are also discussed.
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- The London Mathematical Society 2005
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