Results 131 to 140 of about 9,659,868 (257)

Braiding Fibonacci anyons

open access: yesJournal of High Energy Physics
Fibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
doaj   +1 more source

Generalized Natural Density $\DF(\mathfrak{F}_n)$ of Fibonacci Word [PDF]

open access: yesarXiv
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, $k$-Fibonacci words, and their combinatorial properties. We established that the $n$-th root of the absolute value of terms in a random Fibonacci sequence converges to $1.13198824\ldots$, a symmetry identity for sums involving Fibonacci ...
arxiv  

Turán Graphs, Stability Number, and Fibonacci Index [PDF]

open access: green, 2008
Véronique Bruyère, Hadrien Mélot
openalex   +1 more source

On the generalized Gaussian Fibonacci numbers

open access: yes, 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

Initial number of Lucas’ type series for the generalized Fibonacci sequence

open access: gold, 2021
Siniša Crvenković   +3 more
openalex   +2 more sources

The role of spreadsheets in an investigation of Fibonacci Numbers

open access: yesSpreadsheets in Education, 2014
We introduce a function Z(k) which measures the number of distinct ways in which a number can be expressed as the sum of Fibonacci numbers. Using a binary table and other devices, we explore the values that Z(k) can take and reveal a surprising ...
John E Baker, Steve Sugden
doaj  

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