In mathematics, a Brjuno number (sometimes spelled Bruno or Bryuno) is a special type of irrational number named for Russian mathematician Alexander Bruno...

a basis of clopen groups so the space is zero-dimensional. Brjuno number Computable number Diophantine approximation Irrationality measure Proof that...

If x {\displaystyle x} is a Liouville number then μ ( x ) = ∞ {\displaystyle \mu (x)=\infty } . Brjuno number Markov constant Diophantine approximation...

Wolfgang M. Schmidt. Diophantine approximation Transcendental number Continued fraction Brjuno number Sondow, Jonathan (2004). "Irrationality Measures, Irrationality...

Fatou components. Later Alexander D. Brjuno improved this condition on the irrationality, enlarging it to the Brjuno numbers. This is part of the result...

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...