Limit periodicity conjecture for Jacobi matrices from expanding polynomials
Let T(z)T(z)T(z)) be an expanding polynomial of degree ddd with a real Julia set EEE, where E⊂[−ξ,ξ]E\subset[-\xi,\xi]E⊂[−ξ,ξ] and T−1:[−ξ,ξ]→[−ξ,ξ]T^{-1}:[-\xi,\xi]\to[-\xi,\xi]T−1:[−ξ,ξ]→[−ξ,ξ]. For x∈[−ξ,ξ]x\in[-\xi,\xi]x∈[−ξ,ξ], define the Ja…