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Branching fraction and CP asymmetry of the decays B+→KS0π+ and B+→KS0K+
An analysis of B+ → K0 Sπ+ and B+ → K0 S K+ decays is performed with the LHCb experiment. The pp collision data used correspond to integrated luminosities of 1 fb−1 and 2 fb−1 collected atExpand
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Divisibility properties of factors of the discriminant of generalized Fibonacci numbers
  • Y. Li
  • Mathematics
  • 14 March 2020
We study some divisibility properties related to the factors of the discriminant of the characteristic polynomial of generalized Fibonacci sequences $(G_n)_{n\ge0}$ defined by $G_0=0$, $G_1=1$ andExpand
Digit frequencies of beta-expansions
  • Y. Li
  • Mathematics
  • 8 October 2019
Let $$\beta >1$$ β > 1 be a non-integer. First we show that Lebesgue almost every number has a $$\beta $$ β -expansion of a given frequency if and only if Lebesgue almost every number has infinitelyExpand
Distribution of full words in beta-expansion
We study the structures of admissible words and full words for $\beta$-expansion. The distribution of full words are characterized by giving all the precise numbers of consecutive full words andExpand
Infinite products related to generalized Thue-Morse sequences
  • Y. Li
  • Mathematics, Physics
  • 7 June 2020
Given an integer $q\ge2$ and $\theta_1,\cdots,\theta_{q-1}\in\{0,1\}$, let $(\theta_n)_{n\ge0}$ be the generalized Thue-Morse sequence, defined to be the unique fixed point of the morphismExpand
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Divisibility in generalized Fibonacci sequences
  • Y. Li
  • Mathematics
  • 14 March 2020
We study the divisibility in generalized Fibonacci sequences $(G_n)_{n\ge0}$ defined by $G_0=0$, $G_1=1$ and $G_n=pG_{n-1}+qG_{n-2}$ for $n\ge2$, where $p,q$ are given integers. As corollaries, weExpand
Expansions in multiple bases
  • Y. Li
  • Mathematics
  • 30 October 2019
Expansion of real numbers is a basic research topic in number theory. Usually we expand real numbers in one given base. In this paper, we begin to systematically study expansions in multiple givenExpand
Generalized Koch curves and Thue-Morse sequences.
  • Y. Li
  • Mathematics
  • 30 September 2020
Let $(t_n)_{n\ge0}$ be the well konwn $\pm1$ Thue-Morse sequence $$+1,-1,-1,+1,-1,+1,+1,-1,\cdots.$$ Since the 1982-1983 work of Coquet and Dekking, it is known that $\sum_{k<n}t_ke^\frac{2k\piExpand
Random walks associated to beta-shifts.
We study the dynamics of a simple random walk on subshifts defined by the beta transformation and apply it to find concrete formulae for the Hausdorff dimension of digit frequency sets for $\beta>1$Expand
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