Results 31 to 40 of about 93 (91)

Lévy-Khintchin Theorem for best simultaneous Diophantine approximations

Annales Scientifiques de l'École Normale Supérieure
We extend two results about the ordinary continued fraction expansion to best simultaneous Diophantine approximations of vectors or matrices. The first is Levy-Khintchin Theorem about the almost sure growth rate of the denominators of the convergents. The second is a Theorem of Bosma, Hendrik and Wiedijk about the almost sure limit distribution of the ...
Cheung, Yitwah, Chevallier, Nicolas
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Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity. [PDF]

Entropy (Basel), 2020
Kocharovsky V, Kocharovsky V, Tarasov S.
europepmc   +1 more source

Diophantine exponents of affine subspaces: The simultaneous approximation case

Journal of Number Theory, 2009
We apply nondivergence estimates for flows on homogeneous spaces to compute Diophantine exponents of affine subspaces of $\R^n$ and their nondegenerate submanifolds.
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Robust and efficient coding with grid cells. [PDF]

PLoS Comput Biol, 2018
Vágó L, Ujfalussy BB.
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Simultaneous Diophantine Approximation in Function Fields

, 2017
There are abundant results on Diophantine approximation over fields of positive characteristic (see the survey papers [13, 25]), but there is very little information about simultaneous approximation. In this paper, we develop a technique of \geometry of numbers" in positive characteristic, so that we may generalize some of the classical results on ...
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A multirate control strategy to the slow sensors problem: an interactive simulation tool for controller assisted design. [PDF]

Sensors (Basel), 2014
Salt J, Cuenca Á, Palau F, Dormido S.
europepmc   +1 more source

Rational approximations to solutions of linear differential equations. [PDF]

Proc Natl Acad Sci U S A, 1983
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

On applications of diophantine approximations. [PDF]

Proc Natl Acad Sci U S A, 1984
Chudnovsky GV.
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The computation of classical constants. [PDF]

Proc Natl Acad Sci U S A, 1989
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

Asymptotic diophantine approximations. [PDF]

Proc Natl Acad Sci U S A, 1966
Lang S.
europepmc   +1 more source