Welcome!  This collection of Open Problems in Dynamical Systems & Ergodic Theory   originated from the Katsiveli - 2000  Open Problems Session (Chairman - Benjamin Weiss). New problems are being added to it.

 If you would like to submit some open problems to this page, please send them to me in the form of TEX or LATEX files. Please make sure that the introduction and references to your open problems are as complete as possible (simply because this is helpful to readers who attempt to solve them). I would also appreciate any notification of open problems in "DS & ET" web links (some of them you can find also here).

  Anyone who has never had any (open) problem has never tried anything new. Anyone who has published a paper has solved a problem and maybe has some other open problems. Why not to present them at this www page?

1	Geometric Models of Pisot Substitutions and Non-Commutative Arithmetic Submitted by Pierre Arnoux Corrections - 29.11.2001
2	Ergodic Ramsey Theory - an  Update Submitted by Vitaly Bergelson    ( See also:   http://www.math.ohio-state.edu/~vitaly/ )
3	Dense Periodic Points in Cellular Automata Submitted by Francois Blanchard
4	Non-Discrete Locally Compact Second Countable Groups Submitted by Sergey Gefter
5	Martingale Convergence and Ergodic Theorems Submitted by Alexander Kachurovskii The problem is closed - 21.10.2002
6	Entropy, Periodic Points and Transitivity of Maps Submitted by Sergiy Kolyada   &  Lubomir Snoha Corrections - 26.10.2002
7	Natural Spectral Isomorphisms Submitted by Jan Kwiatkowski
8	Density of Periodic Orbit Measures for Piecewise Monotonic Interval Maps Submitted by Peter Raith
9	Polygonal Billiards: Some Open Problems Submitted by Pascal Hubert   &  Serge Troubetzkoy
10	Is Any Kind of Mixing Possible in "ToP" N-actions? Submitted by Tomasz Downarowicz   &  Xiangdong Ye       ( See also:    hefei.dvi)
11	Six Problems in Algebraic Dynamics Submitted by Thomas Ward                  Corrections - 06.02.2007
12	Problems on Billiards Submitted by Eugene Gutkin
13	Is entropy effectively computable? Submitted by John Milnor
14	Discrete logistic map Submitted by Michal Misiurewicz
15	Does minimal action by the group of measure preserving transformations imply the existence of a uniquely ergodic transformation for a measure on a Cantor set? Submitted by Ethan Akin
16	For minimal systems does Li-Yorke sensitivity occur exactly for extensions of nontrivial weak mixing systems? Submitted by Ethan Akin   &  Sergiy Kolyada       Corrections - 06.02.2007
17	The Law of Series Submitted by Tomasz Downarowicz   &  Yves Lacroix
18	Problems on billiards, flat surfaces and translation surfaces Submitted by Pascal Hubert, Howard Masur, Thomas Schmidt   &  Anton Zorich   (see also comments by Anton Zorich )
19	Open problems in dynamics and related fields Submitted by Alexander Gorodnik

 

Last updated February 22, 2007

skolyada@imath.kiev.ua