hyperbolic Riemann surface

hyperbolic Riemann surface

[‚hī·pər¦bäl·ik ′rē‚män ‚sər·fəs]
(mathematics)
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As explained in [1], generalized a-attractor models based on any geometrically finite noncompact hyperbolic Riemann surface [summation] and with a well-behaved scalar potential enjoy universal behavior near each end of [summation] where the extended potential has a local maximum, in a certain one-field truncation near that end.
Let [GAMMA]\H be a hyperbolic Riemann surface of finite area.
The topics include Brownian motion and harmonic measure in conic sections, the sharpness of certain approach regions, integral representation for space-time excessive functions, hyperbolic Riemann surfaces without unbounded positive harmonic functions, and a vanishing theorem on the point- wise defect of a rational iteration sequence for moving targets.