Free energy for Brownian and geodesic homology

DOI10.1007/BF01295221zbMath0822.60022MaRDI QIDQ1892258

Yves Le Jan

Publication date: 20 September 1995

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

free energygeodesic flowlarge deviationsBrownian flow

Mathematics Subject Classification ID

Large deviations (60F10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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• Large deviation for a class of current-valued processes
• The central limit theorem for the geodesic flow on noncompact manifolds of constant negative curvature
• Large deviation asymptotics for Anosov flows
• Large Deviations in Dynamical Systems and Stochastic Processes
• The rate function of hypoelliptic diffusions
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds

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