Results 101 to 110 of about 2,080 (215)

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

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

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

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

open access: yesAnnales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +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

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