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COMPARISON THEOREMS FOR THE SPECTRAL GAP OF DIFFUSION PROCESSES AND SCHRÖDINGER OPERATORS ON AN INTERVAL

Published online by Cambridge University Press:  08 December 2005

ROSS G. PINSKY
ROSS G. PINSKY
Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israelpinsky@math.technion.ac.il
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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.

Keywords

60J6035P15
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 3 , December 2005 , pp. 621 - 631
Copyright
The London Mathematical Society 2005

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Footnotes

This research was supported by the Fund for the Promotion of Research at the Technion-Israel Institute of Technology and by the VPR Fund.