Open Problems in dynamics and related fields

Some problems

• Can the divergence of Gibbs measures at zero temperature be observed at the level of finite marginals?


• Is the multidimension odd shift sofic?


• 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?


• 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?


• Some questions about recurrence and entropy in topological systems.


• Is there a factor-universal cellular automaton?

Other problem sites in dynamics

• 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.


• Alex Gorodnik's page contains an open problems survey


• Stanley Eigen's open problems in infinite ergodic theory.


• Oliver Knill's Open problem's in Hamiltonian dynamics

Problem sites in probability

• Itai Benjamini has some problems on his homepage (mostly in probability).


• Michel Talagrand's fiscal stimulus.


• Some problems in probability by David Aldous.

Other sites

• Fedja Nazarov's problem page.


• And of course, the big ones from the Clay Institute.

Mike Hochman's home