Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors

Alikhanloo S, Hinz M (2023)
Journal of the London Mathematical Society 107(6): 34.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We construct self-adjoint Laplacians and symmetric Markov semigroups on hyperbolic attractors, endowed with Gibbs u$u$-measures. If the measure has full support, we can also conclude the existence of an associated symmetric diffusion process. In the special case of partially hyperbolic diffeomorphisms induced by geodesic flows on negatively curved manifolds the Laplacians we consider are self-adjoint extensions of well-known classical leafwise Laplacians. We observe a quasi-invariance property of energy densities in the u$u$-conformal case and the existence of nonconstant functions of zero energy.
Stichworte
31C25; 37D25; 37D30; 47B25; 47D07 (primary); 37D10; 37D20; 37D35; 47A07; 60J60 (secondary)
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of the London Mathematical Society
Band
107
Ausgabe
6
Seite(n)
34
ISSN
0024-6107
eISSN
1469-7750
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2969843

Zitieren

Alikhanloo S, Hinz M. Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors. Journal of the London Mathematical Society. 2023;107(6):34.
Alikhanloo, S., & Hinz, M. (2023). Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors. Journal of the London Mathematical Society, 107(6), 34. https://doi.org/10.1112/jlms.12729
Alikhanloo, Shayan, and Hinz, Michael. 2023. “Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors”. Journal of the London Mathematical Society 107 (6): 34.
Alikhanloo, S., and Hinz, M. (2023). Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors. Journal of the London Mathematical Society 107, 34.
Alikhanloo, S., & Hinz, M., 2023. Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors. Journal of the London Mathematical Society, 107(6), p 34.
S. Alikhanloo and M. Hinz, “Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors”, Journal of the London Mathematical Society, vol. 107, 2023, pp. 34.
Alikhanloo, S., Hinz, M.: Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors. Journal of the London Mathematical Society. 107, 34 (2023).
Alikhanloo, Shayan, and Hinz, Michael. “Self-adjoint Laplacians and symmetric diffusions on hyperbolic attractors”. Journal of the London Mathematical Society 107.6 (2023): 34.
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2024-02-13T14:11:22Z
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209978eee7a7e8588039a5cf25987637


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