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Special type of irrational number
In mathematics, a Brjuno number (sometimes spelled Bruno or Bryuno) is a special type of irrational number named for Russian mathematician Alexander Bruno
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Number that is not a ratio of integers
a basis of clopen groups so the space is zero-dimensional. Brjuno number Computable number Diophantine approximation Irrationality measure Proof that
Irrational_number
Function that quantifies how near a number is to being rational
Wolfgang M. Schmidt. Diophantine approximation Transcendental number Continued fraction Brjuno number Sondow, Jonathan (2004). "Irrationality Measures, Irrationality
Irrationality_measure
Class of irrational numbers
If x {\displaystyle x} is a Liouville number then μ ( x ) = ∞ {\displaystyle \mu (x)=\infty } . Brjuno number Markov constant Diophantine approximation
Liouville_number
Fatou components. Later Alexander D. Brjuno improved this condition on the irrationality, enlarging it to the Brjuno numbers. This is part of the result
Siegel_disc
French mathematician (born 1971)
de l’institut Fourier, vol. 61, 2011, pp. 319–350 with A. Chéritat: The Brjuno function continuously estimates the size of quadratic Siegel disks, Annals
Xavier_Buff
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