@article {Bosio:2000:0951-7715:309,
	author = "Bosio D.",
	author = "Vivaldi F.",
	title = "Round-off errors and p-adic numbers",
	journal = "Nonlinearity",
	volume = "13",
	year = "2000",
	abstract = "<P>We explore some connections between round-off errors in linear planar rotations and algebraic number theory. We discretize a map on a lattice in such a way as to retain invertibility, restricting the system parameter (the trace) to rational values with power-prime denominator <I>pn</I>. We show that this system can be embedded into a smooth expansive dynamical system over the <I>p</I>-adic integers, consisting of multiplication by a unit composed with a Bernoulli shift. In this representation, the original round-off system corresponds to restriction to a dense subset of the <I>p</I>-adic integers. These constructs are based on symbolic dynamics and on the representation of the discrete phase space as a ring of integers in a quadratic number field. </P>",
	pages = "309-322(14)",
	url = "http://www.ingentaconnect.com/content/iop/non/2000/00000013/00000001/art00315"
}