Skip to main content
MathOverflow

Return to Question

TeX changes
Source Link
edit approved Nov 22, 2013 at 10:30
Sergiy Kozerenko
edit approved Nov 22, 2013 at 10:30
Sergiy Kozerenko
  • 747
  • 1
  • 7
  • 17

I am looking for a matrix C$C$ so that the sequence tr(C^n)$tr(C^n)$ is dense in the set of real numbers. Equivalently (in the 2 by 2$2 \times 2$ case), find a complex number z$z$ so that the sequence z^n+w^n$z^n+w^n$ is dense in R$\mathbb{R}$ where w$w$ is the conjugate of z$z$.

I am looking for a matrix C so that the sequence tr(C^n) is dense in the set of real numbers. Equivalently (in the 2 by 2 case), find a complex number z so that the sequence z^n+w^n is dense in R where w is the conjugate of z.

I am looking for a matrix $C$ so that the sequence $tr(C^n)$ is dense in the set of real numbers. Equivalently (in the $2 \times 2$ case), find a complex number $z$ so that the sequence $z^n+w^n$ is dense in $\mathbb{R}$ where $w$ is the conjugate of $z$.

changed tag from 'matrices' to 'matrix'
Link
Yemon Choi
Yemon Choi
  • 25.8k
  • 9
  • 69
  • 156
Source Link
Hej
Hej
  • 1k
  • 7
  • 16

Is there a matrix C so that the trace of C^n is dense in R?

I am looking for a matrix C so that the sequence tr(C^n) is dense in the set of real numbers. Equivalently (in the 2 by 2 case), find a complex number z so that the sequence z^n+w^n is dense in R where w is the conjugate of z.