24-29 St. Giles' Oxford OX1 3LB UK Office: T-13	Tel. (College): +44 (0)1865 278326 (Institute): +44 (0)1865 273574 Fax (Institute): +44 (0)1865 273583 eberle@maths.ox.ac.uk

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Andreas Eberle - Abstracts and Preprints

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• Uniqueness and non-uniqueness of singular diffusion operators ( PhD-thesis )
  ( published in modified form as Springer LNM 1718 (1999) )
  
  • German summary (postscript)
  • Table of contents and introduction (postscript)
  • Chapter 1, 2, 3, 4, 5; References (compressed postscript)
  • Complete thesis (postscript, 2976 K)
  • Complete thesis (compressed postscript, 802 K)

• Poincare inequalities on loop spaces ( Habilitationsschrift )
  
  • Table of contents and introduction (postscript)
  • Complete thesis (postscript)
  • Complete thesis (compressed postscript)

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• Local spectral gaps on loop spaces and their asymptotics
  ( accepted by J. Math. Pures Appl. )
  
  • Preprint (postscript)

• Spectral gaps on discretized loop spaces
  ( to appear in Inf. Dim. Analysis Qu. Probab. )
  
  • Preprint (postscript)

• Local Poincare inequalities on loop spaces
  ( published in C.R. Acad. Sci. Paris t. 333, S. I, p. 1023-1028 (2001) )
  
  • Preprint (postscript)

• Absence of spectral gaps on a class of loop spaces
  ( to appear in J. Math. Pures Appl. )
  
  • Preprint (postscript)

• Spectral gaps on loop spaces: A counterexample
  ( published in C. R. Acad. Sci. Paris t. 330, S. I, p. 1-6 (2000) )
  
  • Preprint (postscript)

• Lp uniqueness of non-symmetric diffusion operators with
  singular drift coefficients: I. The finite dimensional case
  ( published in J. Funct. Anal. 173, p. 328--342 (2000) )
  
  • Preprint (postscript)

• Diffusions on path and loop spaces:
  existence, finite dimensional approximation and Hoelder continuity
  ( published in PTRF 109, p. 77-99 (1997) )
  
  • Preprint (postscript)

• Girsanov type transformations of local Dirichlet forms: An analytic approach
  ( published in Osaka J. Math. 33, p. 497-531 (1996) )
  
  • Preprint (postscript)
  • Abstract (postscript)

• Weak Sobolev spaces and Markov uniqueness of operators
  ( published in C. R. Acad. Sci. Paris t. 320, S. I, p. 1249-1254 (1995) )
  
  • Preprint (postscript)

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Stochastic Analysis Group

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25 October 2002 Andreas Eberle
eberle@maths.ox.ac.uk