| Johan Nilsson johann (at) maths.lth.se |
Centre
for Mathematical
Sciences Lund University, LTH Box 118 SE-221 00 Lund, Sweden |
+ 46 46 222 85 66 + 46 46 222 40 10 (fax) |
| Teaching |
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| Single variable analysis, fall 2009 [go to page] | ||
| Muti varialble analysis, fall 2008 [go
to page] |
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| Reasearch |
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| My domain of research is the study of
dynamical systems with a special focus on symbolic dynamics and its
connections to combinatorics on words and number theory. In particular
i study how to apply methods from symbolic dynamics, combinatorics on
words and the β-shift to problems in diophantine approximation and
badly
approximable numbers. |
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| Papers |
||
| 6. |
On Numbers Badly Approximable by q-adic
Rationals. [.pdf] Doctoral Thesis, Lund University, LTH (2007) |
|
| 5. |
On
Numbers Badly Approximable Via the β-shift. Preprint 2007 |
|
| 4. |
The Fine Structure of q-adically Badly
Approximable Numbers Preprint 2007 |
|
| 3. |
The
Fine Structure of
Dyadically Badly Approximabel Rationals. Preprint 2007 |
|
|
2.
|
On
Numbers Badly
Approximabel by Dyadic Rationals. Preprint / To appear in Israel J. Math. |
|
| 1. |
Fractal
Structure in
Dyadic Diophantine Approximation. [pdf] Licentiate Thesis, Lund University, LTH. (2006) |
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