منابع مشابه
On the continuity of the pressure for monotonic mod one transformations
If f : [0, 1] → R is strictly increasing and continuous define Tfx = f(x) (mod 1). A transformation T̃ : [0, 1] → [0, 1] is called ε-close to Tf , if T̃ x = f̃(x) (mod 1) for a strictly increasing and continuous function f̃ : [0, 1] → R with ‖f̃ − f‖∞ < ε. It is proved that the topological pressure p(Tf , g) is lower semi-continuous, and an upper bound for the jumps up is given. Furthermore the cont...
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A discriminative method is proposed for learning monotonic transformations of the training data while jointly estimating a large-margin classifier. In many domains such as document classification, image histogram classification and gene microarray experiments, fixed monotonic transformations can be useful as a preprocessing step. However, most classifiers only explore these transformations thro...
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We show that every point x0 ∈ [0, 1] carries a representation of a C∗-algebra that encodes the orbit structure of the linear mod 1 interval map fβ,α(x) = βx + α. Such C∗-algebra is generated by partial isometries arising from the subintervals of monotonicity of the underlying map fβ,α. Then we prove that such representation is irreducible. Moreover two such of representations are unitarily equi...
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Consider a social choice setting in which agents have quasilinear utilities over monetary transfers. A domain D of admissible valuation functions of an agent is called a revenue monotonicity domain if every 2-cycle monotone allocation rule is truthfully implementable (in dominant strategies) and satisfies revenue equivalence. We introduce the notions of monotonic transformations in differences,...
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Explicit invariant measures are derived for a family of finite-toone, ergodic transformations of the unit interval having indifferent periodic orbits. Examples of interesting, non-trivial maps of [0, 1] for which one can readily compute an invariant measure absolutely continuous to Lebesgue measure are not easy to come by. The familiar examples are the Gauss map, the backward continued fraction...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1984
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-80-1-17-40