Invited Speaker
David Boyd
Professor
University of British Columbia
Vancouver, B.C.
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Invited Speaker David Boyd Professor University of British Columbia Vancouver, B.C. |
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Email: |
boyd@math.ubc.ca |
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Homepage: |
http://www.math.ubc.ca/people/faculty/boyd/boyd.html |
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Paper: |
The Beta Expansion for Salem Numbers |
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Talk: |
Are Salem numbers beta-numbers? |
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Abstract: |
The beta transformation is the mapping on the unit interval defined by multiplication by $\beta$ mod 1. $\beta > 1$ is a beta-number if 1 is an eventually periodic point of this mapping. It is known that all Pisot numbers of any degree and all Salem numbers of degree 4 are beta-numbers. We describe computational and heuristic arguments which suggest that all Salem numbers of degree 6 are beta-numbers but that this is not true for higher degrees. |
| Born: |
Canada |
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Education: |
Undergraduate -- Carleton University, Ottawa
Graduate -- University of Toronto
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| Family: |
Two of my children are artists and one is a budding author.
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| Interests: |
I am very interested in Music -- jazz and popular guitar
especially. Also, I enjoy Hiking and Reading |
| Inspirations: |
I've been inspired to try out different areas
of Mathematics by the many interesting mathematicians I have
met over the years: to mention a few, Leo Moser, Marshall Hall
and Kurt Mahler.
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