| Autor: |
Shinoda, Mao, Yamamoto, Kenichiro |
| Předmět: |
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| Zdroj: |
Nonlinearity; Feb2024, Vol. 37 Issue 2, p1-15, 15p |
| Abstrakt: |
We introduce a new class of piecewise monotonic maps, called generalised mod one transformations, which include all (α , β) and generalised β -transformations, and prove that all transitive generalised mod one transformations with positive topological entropy satisfy the level-2 large deviation principle with a unique measure of maximal entropy. This is obtained by our result on the density of periodic measures for more general class of piecewise mototonic maps, which is a partial answer to the open problem posed by Hofbauer and Raith (1998 Fund. Math. 157 221–34); Raith (www.math.iupui.edu/~mmisiure/open/PR1.pdf). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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