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Number Theory Seminar - Joseph Vandehey

Joseph Vandehey
September 26, 2016
4:30PM - 5:30PM
Math Tower 154

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Add to Calendar 2016-09-26 16:30:00 2016-09-26 17:30:00 Number Theory Seminar - Joseph Vandehey Title: When multiplying by 2 is a hard thing to doSpeaker: Joseph Vandehey (The Ohio State University)Abstract: Continued fractions react in surprisingly complex fashion to simple operations like multiplying by 2 or adding 1/3. While we have algorithms that allow us to handle such things computationally, it's not clear how these operations affect continued fractions from a theoretical framework. We will show that the property of normality is preserved under these operations, extending a famous result of Wall. There will be substantial overlap with ergodic theory.Seminar URL: https://research.math.osu.edu/numbertheory/number.php Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: When multiplying by 2 is a hard thing to do

Speaker: Joseph Vandehey (The Ohio State University)

Abstract: Continued fractions react in surprisingly complex fashion to simple operations like multiplying by 2 or adding 1/3. While we have algorithms that allow us to handle such things computationally, it's not clear how these operations affect continued fractions from a theoretical framework. We will show that the property of normality is preserved under these operations, extending a famous result of Wall. There will be substantial overlap with ergodic theory.

Seminar URLhttps://research.math.osu.edu/numbertheory/number.php

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