Below you will find pages that utilize the taxonomy term “Thermo”
Problem 101
If a $C^1$ Anosov preserves a smooth measure, is it an equilibrium state for $
- \log \lambda ^u ?$
Problem 85
codon frequencies via equilibrium states for ``some potential’'?
Problem 60
Study flows $H = V(r) + \frac{1}{2} mv^2$ for various (?) continuous $V(r)$. Statistical mechanics literature (Hénon -?, Toda,…)
Problem 46
Equilibrium states for 1-dimensional quantum lattice systems without finite range
Problem 44
How big is the set of equilibrium states of a function $g$ in the set of invariant measures?
Problem 43
Definition of Gibbs measures for homeomorphisms? Relation to equilibrium states?
Problem 13
In Parry’s `Conjugate to linear’ paper, what are the properties of the constructed measure? Does this work for equilibrium states too?
Problem 34
If $\mu $ is an equilibrium state for some continuous $g$ on $\Sigma _N^+$, is $h_\mu >0$?
Problem 33
Define $P(g)$, equilibrium states for certain noncontinuous $g$.
Problem 20
Continuous systems in statistical mechanics. Is there a topological dynamics formulation?
Problem 5
Homogenous dynamics Implications among unique ergodicity minimality entropy zero plus ergodicity Simple or semi-simple case Which one-parameter subgroups are unstable/stable foliations for some ergodic affine? Try a). Relate dynamical properties to representations of the group. K-property implies Bernoull? Weak mixing plus center s.s. implies Bernoulli? [For parts d and e, try nilmanifolds first] Ergodic implies there is a unique measure of maximal entropy?