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Session Difference equations and their application in the
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Periodic points of latitudinal sphere maps |
Michał Misiurewicz, Indiana University-Purdue University Indianapolis, USA
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For the maps of the two-dimensional sphere into itself that preserve
the latitude foliation and are differentiable at the poles, lower
estimates of the number of fixed points for the maps and their
iterates are obtained. Those estimates also show that the growth rate
of the number of fixed points of the iterates is larger than or equal
to the logarithm of the absolute value of the degree of the map.
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