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- Courant Institute of Mathematical SciencesUS103 papers
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18 papers · 1 filter
Entropy, Lyapunov Exponents and Escape Rates in Open Systems
Mark Demers, Paul Wright, Lai-Sang Young
We study the relation between escape rates and pressure in general dynamical systems with holes, where pressure is defined to be the difference between entropy and the sum of posit…
Counting master integrals: integration by parts vs. differential reduction
Mikhail Yu. Kalmykov, Bernd A. Kniehl
The techniques of integration by parts and differential reduction differ in the counting of master integrals. This is illustrated using as an example the two-loop sunset diagram wi…
The Rigid Relation Principle, a New Weak Choice Principle
Joel David Hamkins, Justin Palumbo
The rigid relation principle, introduced in this article, asserts that every set admits a rigid binary relation. This follows from the axiom of choice, because well-orders are rigi…
Learning When Training Data are Costly: The Effect of Class Distribution on Tree Induction
F. Provost, G. M. Weiss
For large, real-world inductive learning problems, the number of training examples often must be limited due to the costs associated with procuring, preparing, and storing the trai…
Charge Asymmetric Cosmic Ray Signals From Dark Matter Decay
Spencer Chang, Lisa Goodenough
The PAMELA and Fermi measurements of the cosmic-ray electron and positron spectra have generated much interest over the past two years, because they are consistent with a significa…
Molecular Dynamics Simulation Study of Nonconcatenated Ring Polymers in a Melt: II. Dynamics
Jonathan D. Halverson, Won Bo Lee, Gary S. Grest +2
Molecular dynamics simulations were conducted to investigate the dynamic properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest…