Abstract
We study the high-energy limit for eigenfunctions of the Laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman–Nonnenmacher (Ann. Inst. Fourier 57(7):2465–2523, 2007) giving a lower bound on the Kolmogorov–Sinai entropy of semiclassical measures. The bound proved here improves that result in the case of variable negative curvature.
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Anantharaman, N., Koch, H., Nonnenmacher, S. (2009). Entropy of Eigenfunctions. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_1
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DOI: https://doi.org/10.1007/978-90-481-2810-5_1
Publisher Name: Springer, Dordrecht
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