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Title of Journal: Potential Anal

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Abbravation: Potential Analysis

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Springer Netherlands

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10.1007/978-3-540-32219-1_37

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1572-929X

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Intertwining Relations for OneDimensional Diffusi

Authors: Michel Bonnefont Aldéric Joulin
Publish Date: 2014/04/28
Volume: 41, Issue: 4, Pages: 1005-1031
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Abstract

Following the recent work Chafaï and Joulin Bernoulli 191855–1879 2013 fulfilled in the discrete case we provide in this paper new intertwining relations for semigroups of onedimensional diffusions Various applications of these results are investigated among them the famous variational formula of the spectral gap derived by Chen and Wang Trans Am Math Soc 3491239–1267 1997 together with a new criterion ensuring that the logarithmic Sobolev inequality holds We complete this work by revisiting some classical examples for which new estimates on the optimal constants are derived

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Other Papers In This Journal:
  1. Maximal Inequalities of the Itô Integral with Respect to Poisson Random Measures or Lévy Processes on Banach Spaces
  2. Approximation of Invariant Measures for Regime-switching Diffusions
  3. Functional Inequalities and Hamilton–Jacobi Equations in Geodesic Spaces
  4. Brownian Motion and the Distance to a Submanifold
  5. Stability for Parabolic Quasiminimizers
  6. Complementability of Spaces of Harmonic Functions
  7. Equilibrium Diffusion on the Cone of Discrete Radon Measures
  8. Global Heat Kernel Estimates for Symmetric Markov Processes Dominated by Stable-Like Processes in Exterior C 1, η Open Sets
  9. Integrals Along Rough Paths via Fractional Calculus
  10. Mosco Type Convergence of Bilinear Forms and Weak Convergence of n -Particle Systems
  11. Remarks on a Constrained Optimization Problem for the Ginibre Ensemble
  12. On Calabi’s Strong Maximum Principle via Local Semi-Dirichlet Forms
  13. On States of Total Weighted Occupation Times of a Class of Infinitely Divisible Superprocesses on a Bounded Domain
  14. Uniqueness for Integro-PDE in Hilbert Spaces
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