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Showing 1 to 2 of 2 for “"Trace Field"”.

  1. Hyperbolic 3-manifolds of bounded volume and trace field degree

    … are only finitely many Dehn fillings of it whose trace fields have bounded degree. In this paper, we conjecture the same for manifolds with more cusps, and give the first positive results in this direction. For example, in the 2-cusped case, if a manifold has linearly independent cusp shapes, we …

    uiuc Repository record for Hyperbolic 3-manifolds of bounded volume and trace field degree (opens in a new tab)

  2. Stochastic acoustic ray tracing with dynamically orthogonal equations

    … We investigate methods for evolving stochastic fields using direct Monte Carlo, Empirical Orthogonal Functions, and adaptive Dynamically Orthogonal (DO) differential equations. As we evaluate the potential of Reduced-Order Models for stochastic ocean acoustics prediction, for the first time, we …

    woods-hole Repository record for Stochastic acoustic ray tracing with dynamically orthogonal equations (opens in a new tab)