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Local limit theorem in negative curvature

Published:2021-06-01 Issue:8 Volume:170 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Ledrappier François¹,Lim Seonhee²

Affiliation:

1. Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, USA; Current: Laboratoire de Probabilités, Statistique et Modélisation, Sorbonne Université, CNRS, Paris, France

2. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul, South Korea

Publisher

Duke University Press

Subject

General Mathematics

Reference55 articles.

1. D. Dolgopyat, On decay of correlations in Anosov flows, Ann. of Math. (2) 147 (1998), no. 2, 357–390.

2. F. Paulin, M. Pollicott, and B. Schapira, Equilibrium States in Negative Curvature, Astérisque 373, Soc. Math. France, Paris, 2015.

3. A. Ancona, Negatively curved manifolds, elliptic operators and the Martin boundary, Ann. of Math. (2) 125 (1987), no. 3, 495–536.

4. A. Ancona, “Théorie du potentiel sur les graphes et les variétés” in École d’été de Probabilités de Saint-Flour XVIII—1988, Lecture Notes in Math. 1427, Springer, Berlin, 1990, 1–112.

5. M. T. Anderson and R. Schoen, Positive harmonic functions on complete manifolds of negative curvature, Ann. of Math. (2) 121 (1985), no. 3, 429–461.

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