Geodesic
Recent results on iterative roots
Witold Jarczyk1
1 Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, PL-65-516 Zielona Góra, Poland
ESAIM. Proceedings, Tome 46 (2014), pp. 47-62.

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This is a rough survey of some results on iterative roots (fractional iterates) published recently. Also some historical information to clear the connection to previous results has been given. The main topics are: the conjugacy of piecewise monotonic functions and their iterative roots, stability of iterative roots, some substitutes and generalizations of the notion of iterative root using set-valued functions.
DOI : 10.1051/proc/201446005

Witold Jarczyk 1

1 Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, PL-65-516 Zielona Góra, Poland 
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Witold Jarczyk. Recent results on iterative roots. ESAIM. Proceedings, Tome 46 (2014), pp. 47-62. doi : 10.1051/proc/201446005. http://geodesic.mathdoc.fr/articles/10.1051/proc/201446005/

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