559 research outputs found
Uniform expansivity outside the critical neighborhood in the quadratic family
We use rigorous numerical techniques to compute a lower bound for the
exponent of expansivity outside a neighborhood of the critical point for
thousands of intervals of parameter values in the quadratic family. We compute
a possibly small radius of the critical neighborhood, and a lower bound for the
corresponding expansivity exponent outside this neighborhood, valid for all the
parameters in each of the intervals. We illustrate and study the distribution
of the radii and these exponents. The results of our computations are
mathematically rigorous. The source code of the software and the results of the
computations are made publicly available at
http://www.pawelpilarczyk.com/quadratic/..Comment: 12 pages, 7 figure
The Grizzly, September 19, 2013
New UC Faculty Members\u27 Plans • Sustainability Week at UC • Ursinus Image Beyond Campus • Tuition Based on Other Colleges\u27 Numbers • Honored Professor • Family Day Brings Food, Fun • Student Groups Spread School Spirit • Opinion: Ursinus Needs a Practical Living Course; Community Service Belongs in the Curriculum • Olympics 2020: Tokyo Wins Bid Over Istanbul • Athletic Communications Promotes UC Athletes • Football, Field Hockey, Men\u27s Soccer Take Home Winshttps://digitalcommons.ursinus.edu/grizzlynews/1886/thumbnail.jp
- …