799 research outputs found
Henon-like maps with arbitrary stationary combinatorics
We extend the renormalisation operator introduced in \cite{dCML} from
period-doubling H\'enon-like maps to H\'enon-like maps with arbitrary
stationary combinatorics. We show the renormalisation picture holds also holds
in this case if the maps are taken to be \emph{strongly dissipative}. We study
infinitely renormalisable maps and show they have an invariant Cantor set
on which acts like a -adic adding machine for some .
We then show, as for the period-doubling case in \cite{dCML}, the sequence of
renormalisations have a universal form, but the invariant Cantor set
is non-rigid. We also show cannot possess a
continuous invariant line field.Comment: 62 pages, 5 figure
Holland, Rogers & Hazard- Mrs. Rosie Holmes Walker, January 13, 1932
Correspondence: Letter from Elmer E. Hazard, Holland Rogers & Hazard Attorneys at Law, Jacksonville, Florida, to Rosa G. Holmes Walker, Jacksonville, Florida, regarding money received on State and County tax sales certificates for property: North half Lot 5, Block 1, Burbridge\u27s Addition to Jacksonville
Holland, Rogers & Hazard- Mrs. R. H. Walker, March 17, 1932
Correspondence: Letter from Elmer E. Hazard, Holland Rogers & Hazard Attorneys at Law, Jacksonville, Florida, to Rosa G. Holmes Walker, Jacksonville, Florida, regarding money due on State and County tax sales certificate for property North half Lot 5, Block 1, Burbridge\u27s Addition to Jacksonville
Holland, Rogers & Hazard- Mrs. R. H. Walker, August 16, 1932
Correspondence: Letter from Elmer E. Hazard, Holland Rogers & Hazard Attorneys at Law, Jacksonville, Florida, to Rosa G. Holmes Walker, Jacksonville, Florida, regarding money due on State and County tax sales certificate for property: North half Lot 5, Block 1, Burbridge\u27s Addition to Jacksonville
Rogers, Hazard & Thames- Dr. & Mrs. Thos. H. B. Walker, No Date Given
Correspondence: Letter from Elmer E. Hazard, Rogers, Hazard & Thames, Attorneys at Law, Jacksonville, Florida, to Dr. and Mrs. Thomas H.B. Walker, Jacksonville, Florida, regarding money due on mortgag
Holland, Rogers & Hazard- Mrs. Rosie Holmes Walker, February 13, 1932
Correspondence: Letter from Elmer E. Hazard, Holland Rogers & Hazard Attorneys at Law, Jacksonville, Florida, to Rosa G. Holmes Walker, Jacksonville, Florida, regarding money due on State and County tax sales certificates for property: North half Lot 5, Block 1, Burbridge\u27s Addition to Jacksonville
Holland, Rogers & Hazard- Mrs. Rosie Holmes Walker, October 30, 1931
Correspondence: Letter from Elmer E. Hazard, Holland Rogers & Hazard Attorneys at Law, Jacksonville, Florida, to Rosa G. Holmes Walker, Jacksonville, Florida, regarding money due on State and County tax sales certificates for property: North half Lot 5, Block 1, Burbridge\u27s Addition to Jacksonville
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