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Hyperbolic law of cosines
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Spectrum of Hyperbolic Surfaces
Explores the Laplacian, Riemannian metric, and invariant operators in hyperbolic surfaces.
Invariant Integral Operators
Explores invariant integral operators and their spectral properties on hyperbolic surfaces.
Triangle Relations: Cosine and Sine Laws
Explores the Cosine and Sine Laws in triangles, highlighting their applications and potential pitfalls.
Fractal Uncertainty Principle and Spectral Gaps
Explores Schottky groups, spectral gaps, and the Fractal Uncertainty Principle.
Spectrum of Hyperbolic Surfaces
Explores the spectrum of hyperbolic surfaces, focusing on Fuchsian groups and their actions.
Spectral Expansion: Eisenstein Series
Covers the spectral expansion of Eisenstein series and the properties of hyperbolic surfaces.
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