Keller's invariant-measure representation conjecture for regular Toeplitz freefreefree systems
Keller's conjecture. For every nuin\taP(Xφ)nuin\ta{P}(X_\varphi)nuin\taP(Xφ), there exists rhoin\taP(Hxtimes\ta0,1\taZ,Rxtimessigma)rhoin\ta{P}(Hxtimes\ta{0,1\ta}^{\mathbb{Z}},Rxtimessigma)rhoin\taP(Hxtimes\ta0,1\taZ,Rxtimessigma) such that, for every measurable AsubseteqXφAsubseteq X_\varphiAsubseteqXφ…