- Can the divergence of Gibbs measures at zero temperature be observed at the level of finite marginals?
- Is the multidimension odd shift sofic? Solved in dimension 2 by Julien Cassaigne.
- Are the periodic points dense in multidimensional, strongly irreducible SFTs?
- Some questions about automorphisms of shifts of finite type.
- Can we estimate an eigenvalue(s) of a process by observing finite samples? Solved (under some regularity conditions) by Anthony Quas.
- A question about genericity and approxiation in the space of connected systems.
- Is there a ratio ergodic theorem (Hopf's theorem) for actions of non-abelian gruops? (Kieran Jarrett proved that one does exist for the Heisenberg groups)
- Some questions about recurrence and entropy in topological systems.
- Is there a factor-universal cellular automaton?

- Some Open Problems in Dynamical Systems & Ergodic Theory from Katsiveli 2000, with occasional updates.
- The Stony Brook problem page.
- Mike Boyle's open problems in symbolic dynamics.
- Nikos Frantzikinakis's survey of open problems on non-conventional ergodic averages.
- Alex Gorodnik's page contains an open problems survey
- Anatole Katok's problem page.
- Stanley Eigen's open problems in infinite ergodic theory.
- Some problems on algebraic dynamics by Tom Ward.
- Oliver Knill's Open problem's in Hamiltonian dynamics
- Problems from the 3rd Pingree Park workshop.
- Problems from icmds2010 (in video!).

- Itai Benjamini has some problems on his homepage (mostly in probability).
- Michel Talagrand's fiscal stimulus.
- Some problems in probability by David Aldous.

- Fedja Nazarov's problem page.
- And of course, the big ones from the Clay Institute.