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NDSU Mathematics


Math Club

Prof. Dogan Comez will speak on

Dynamics of Gauss map and continued fraction representation of real numbers.

Abstract: The continued fraction expansion (CFE) of a real number provides a novel means of representing real numbers as well as efficient methods of (best) approximations of irrational numbers by rational numbers. In my talk last week I focused on the main features of CFE representation. It turns out that, CFE representation can be obtained via action of a map, the Gauss map, which also remedies some drawbacks of ordinary CFE. In this talk I will focus on the Gauss map; exhibit its connection with the CFE representation and investigate its dynamical aspects such as periodic points, transitivity and measure preserving property.

Location: Minard 112
Date: 8 March 2017
Time: 5pm

Student Focused. Land Grant. Research University.

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Department of Mathematics - North Dakota State University 
Phone: 701.231.8171
Fax: 701.231.7598
Campus Address: Minard 408
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