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

 If you would like to submit some open problems to this page, please send them to Sergiy Kolyada 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). We would also appreciate any notification of open problems in "DS & ET" web links (some of them you can find also here).

 If you have any remarks about this page, please write to Sergiy Kolyada or Michal Misiurewicz.

1	Geometric models of Pisot substitutions and non-commutative arithmetic Submitted by Pierre Arnoux (updated November 29, 2001)
2	Ergodic Ramsey Theory - an update Submitted by Vitaly Bergelson (see also here)
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 (October 21, 2002)
6	Entropy, periodic points and transitivity of maps Submitted by Sergiy Kolyada and Lubomir Snoha (updated October 26, 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 and Serge Troubetzkoy
10	Is any kind of mixing possible in "ToP" N-actions? Submitted by Tomasz Downarowicz and Xiangdong Ye (see also here)
11	Six problems in Algebraic Dynamics Submitted by Thomas Ward (updated February 6, 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 and Sergiy Kolyada (updated February 6, 2007)
17	The Law of Series Submitted by Tomasz Downarowicz and Yves Lacroix
18	Problems on billiards, flat surfaces and translation surfaces Submitted by Pascal Hubert, Howard Masur, Thomas Schmidt and Anton Zorich (see comments by Zorich)
19	Open problems in dynamics and related fields Submitted by Alexander Gorodnik
20	Open problem session - Sde-Boker 2013 Submitted by Barak Weiss