Hyperbolic analysis

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  • In these lecture notes we describe the construction, analysis, and application of ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes for hyperbolic conservation laws and related Hamilton-Jacobi equations. ENO and WENO schemes are high order accurate nite di erence schemes designed for problems with piecewise smooth solutions containing discontinuities.

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  • This volume in the record of a 1985 week- long Joint Summer Research Conference on Algebraic Geometry, held in Arcata, California. The conference organized by Michael Artin, Barry Mazur, and myself focused on this current development in our field

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  • This paper gives a quantitative version of Thurston’s hyperbolic Dehn surgery theorem. Applications include the first universal bounds on the number of nonhyperbolic Dehn fillings on a cusped hyperbolic 3-manifold, and estimates on the changes in volume and core geodesic length during hyperbolic Dehn filling. The proofs involve the construction of a family of hyperbolic conemanifold structures, using infinitesimal harmonic deformations and analysis of geometric limits.

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  • On the other hand a model with dynamically inconsistent (quasi-hyperbolic) time preference can explain the decline, for reasonable short-term and long-term discount rates. We also investigate whether households in our sample appear to make an effort at self-control, using a strategy emphasized in the literature: a mental accounting rule that limits borrowing during the pay period and thus puts a cap on overspending. We find that households who are able to borrow, in the sense that they own a credit card, nevertheless exhibit the spending profile characteristic of credit constraints.

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  • Journal of Mathematical Neuroscience (2011) 1:4 DOI 10.1186/2190-8567-1-4 RESEARCH Open Access Analysis of a hyperbolic geometric model for visual texture perception Grégory Faye · Pascal Chossat · Olivier Faugeras Received: 7 January 2011 / Accepted: 6 June 2011 / Published online: 6 June 2011 © 2011 Faye et al.; licensee Springer.

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