COMPARISON THEOREMS FOR THE SPECTRAL GAP OF DIFFUSION PROCESSES AND SCHRÖDINGER OPERATORS ON AN INTERVAL
Ross G. Pinsky · Journal of the London Mathematical Society · 2005
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.