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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20190510T132002Z
DTSTART:20190514T140000Z
DTEND:20190514T150000Z
SUMMARY:A flipped family of alpha-continued fractions
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}f1im-jvi3yb
s4-s8tyma
DESCRIPTION:Join us for this research seminar\, part of the Analysis and
dynamics seminar series.\n\nContinued fractions offer a representation o
f real numbers that is in many ways more natural that the canonical deci
mal representation. Among the many generalisations\, the alpha-continued
fractions were introduced in 1981 by Nakada as a family of interval map
s depending on a parameter alpha. Since then\, numerous studies have bee
n done on the maps' metric and ergodic properties. In particular\, the e
ntropy has been studied as a function of the parameter: explicit interva
ls on which it is constant\, increasing or decreasing have been characte
rised by the matching index of alpha and 1-alpha. We present a natural c
ounterpart to the alpha-continued fractions. For this new collection of
maps\, we show\, using a natural extension\, that the (Krengel) entropy
is constant\, and we describe the matching intervals through the regular
continued fraction expansions of alpha.\n\nThis is a joint work with Ch
arlene Kalle\, Niels Langeveld and Sara Munday.\n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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