منابع مشابه
Multiplicative Transference Principle
We give partial improvement of multiplicative transference principle proved
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In this paper we establish a general form of the Mass Transference Principle for systems of linear forms conjectured in [1]. We also present a number of applications to problems in Diophantine approximation. These include a general transference of Khintchine–Groshev type theorems into Hausdorff measure statements. These statements are applicable in both the homogeneous and inhomogeneous setting...
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Let μ be a Gibbs measure of the doubling map T of the circle. For a μ-generic point x and a given sequence {rn} ⊂ R, consider the intervals (Tx − rn (mod 1), Tx + rn (mod 1)). In analogy to the classical Dvoretzky covering of the circle we study the covering properties of this sequence of intervals. This study is closely related to the local entropy function of the Gibbs measure and to the hitt...
متن کاملA transference principle for Ramsey numbers of bounded degree graphs
We investigate Ramsey numbers of bounded degree graphs and provide an interpolation between known results on the Ramsey numbers of general bounded degree graphs and bounded degree graphs of small bandwidth. Our main theorem implies that there exists a constant c such that for every ∆, there exists β such that if G is an n-vertex graph with maximum degree at most ∆ having a homomorphism f into a...
متن کاملKhintchine’s Theorem and Transference Principle for Star Bodies
Analogues of Khintchine’s Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions or equivalently star bodies. Khintchine’s transference principle is discussed for distance functions and a direct proof for the multiplicative version is given. A transference principle is also established for a differ...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2019
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-019-0484-9