Topological triple phase transition in non-Hermitian Floquet quasicrystals. [PDF]
Nature, 2022 Weidemann S +3 more
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Best simultaneous Diophantine approximations. I. Growth rates of best approximation denominators [PDF]
Transactions of the American Mathematical Society, 1982 This paper defines the notion of a best simultaneous Diophantine approximation to a vector α \alpha in R n R^n with respect to a norm ‖ ⋅ ‖ \left \| \,\cdot \, \right \| on R n R^n .
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, 2019 In this paper, we prove an effective asymptotic equidistribution result for one-parameter unipotent orbits in $\mathrm{SL}(3, \mathbb{R})/\mathrm{SL}(3,\mathbb{Z})$.
Chow, Sam, Yang, Lei
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Lévy-Khintchin Theorem for best simultaneous Diophantine approximations
Annales Scientifiques de l'École Normale SupérieureWe 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.
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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.
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Rational approximations to solutions of linear differential equations. [PDF]
Proc Natl Acad Sci U S A, 1983 Chudnovsky DV, Chudnovsky GV.
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