Results 21 to 30 of about 46,451 (125)
On the metric theory of
Indagationes Mathematicae, 2013 Let \(X=p\mathbb{Z}_p\) be the unit ball in the field of \(p\)-adic numbers \(\mathbb{Q}_p\), and define the map \(T:X\to X\) by \(T(x)=p^a/x-b\), where \(a=a(x)=v_p(x)\in\mathbb{N}\) is the \(p\)-adic valuation of \(x\), and \(b=b(x)\) is the unique element in \(\{1,\ldots,p-1\}\) such that \(p^a/x\equiv b \pmod{p\mathbb{Z}_p}\).
Hančl, J. +3 more
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A three-dimensional probability distribution in the metrical theory of continued fractions
Journal of the European Mathematical Society, 2004 Let \(a_n\) (\(n\geq 1\)) be the partial quotients of the continued fraction expansion of an irrational number \(\omega\) in the unit interval \(I\). If we use the transformation \(\tau(\omega)=1/\omega\mod 1\), then \(\omega=[0;a_1,\dots,a_n+\tau^n(\omega)]\) for any \(n\geq 1\).
Iosifescu, M., Kraaikamp, C.
openaire +3 more sources
On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$
, 2004 We study some aspects of localized tachyon condensation on non-supersymmetric orbifolds of the form $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$. We discuss the gauged linear sigma models for these orbifolds. We show how several features of the decay of orbifolds of $
Adams +31 more
core +1 more source
On the Metrical Theory of a Generalized Continued Fraction Expansion
, 2010 This paper has been withdrawn by the authors.
Lascu, Dan, Kawamura, Katsunori
openaire +2 more sources
, 2013 We consider a family $\{\tau_m:m\geq 2\}$ of interval maps introduced by Hei-Chi Chan [5] as generalizations of the Gauss transformation. For the continued fraction expansion arising from $\tau_m$, we solve its Gauss-Kuzmin-type problem by applying the ...
Lascu, Dan
core +2 more sources
On certain statistical properties of continued fractions with even and with odd partial quotients [PDF]
, 2012 We prove results concerning the joint limiting distribution of the renewal time of denominators and consecutive digits of random irrational numbers in the case of continued fractions with even partial quotients, with odd partial quotients, and for Nakada'
Boca, Florin P., Vandehey, Joseph
core
, 2007 We consider bosonic atoms with a repulsive contact interaction in a trap potential for a Bose-Einstein condensation and additionally include a random potential.
Andersen +40 more
core +1 more source
Cross sections for geodesic flows and \alpha-continued fractions
, 2012 We adjust Arnoux's coding, in terms of regular continued fractions, of the geodesic flow on the modular surface to give a cross section on which the return map is a double cover of the natural extension for the \alpha-continued fractions, for each ...
Abramov L M +21 more
core +3 more sources
On the Littlewood conjecture in simultaneous Diophantine approximation [PDF]
, 2005 For any given real number $\alpha$ with bounded partial quotients, we construct explicitly continuum many real numbers $\beta$ with bounded partial quotients for which the pair $(\alpha, \beta)$ satisfies a strong form of the Littlewood conjecture.
Adamczewski, Boris, Bugeaud, Yann
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CBR Anisotropy from Primordial Gravitational Waves in Two-Component Inflationary Cosmology
, 1994 We examine stochastic temperature fluctuations of the cosmic background radiation (CBR) arising via the Sachs-Wolfe effect from gravitational wave perturbations produced in the early universe.
A. A. Starobinsky +35 more
core +1 more source