A measure of maximal entropy of the rational fraction on the Riemann sphere according to Arnaud Chéritat. It describes the distribution of preimages of almost all points.
Posts Tagged ‘pictures’
A measure of maximal entropy (by A. Chéritat)
Posted in Dynamics, tagged Dynamics, maximal entropy measure, pictures, smooth ergodic theory on December 3, 2009 | Leave a Comment »
Backward and Forward with the Towel Map
Posted in musings, tagged chaos, computer simulations, Dynamics, entropy, pictures, smooth ergodic theory, towel map on February 23, 2009 | Leave a Comment »
Consider the family of symmetric towel maps (the towel terminology is due to S. Newhouse): This looks like a very natural generalization of quadratic interval maps, a step beyond the Viana maps of the form . These maps can also be understood as a coupling of two chaotic interval maps. One would like to prove [...]
Fall in Orsay
Posted in photo, tagged fall, orsay, pictures, ponds, trees on February 23, 2009 | Leave a Comment »
The Orsay campus has beautiful and diverse trees which take on gorgeous colors as can be guessed from the header picture (no post-processing, mind you!) taken in the fall of 2007 on the path betweeen the train station and the math dept.
