Gourt > Science > Math > Differential Equations > Dynamical Systems > Open Problems
An open problem is a problem that can be formally stated and for which a solution is known to exist but which has not yet been solved. It is common in graduate schools to point out open problems to students. However, Fermat's last theorem and the Four color theorem are two notable open problems that have been closed or solved by faculty members, as they would have more expertise and resources than students.
Important open problems exist in many fields, such as in the field of theoretical computer science, computer scheduling, and real-time computing.
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Open Problems in Dynamical Systems - A collection of papers outlining unsolved problems maintained at Stony Brook.
Open Problems in Dynamical Systems and Ergodic Theory - Originally from the Katsiveli 2000 Open Problems Session, now maintained by Sergiy Kolyada. PDF/PS.
The Furstenburg Conjecture and Rigidity - If two commuting endomorphisms of a torus are incommensurable (no power of one is a power of the other), then their joint action should be rigid. Some of the conjectures and open problems compiled by the AIM.
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