Miklós Laczkovich
Miklós Laczkovich (born February 21, 1948 in Budapest ) is a Hungarian mathematician.
Life
Laczkovich studied at the Lorand Eötvös University in Budapest (graduated in 1971) and is a professor there. He is also a professor at University College London .
Laczkovich deals with real analysis and measure theory. In 1989 he solved Alfred Tarski's (1925) circle-squaring problem and thus showed that it is possible to divide a flat disk into a finite number of parts which can be combined to form a square with the same area. His proof was non-constructive as it made substantial use of the axiom of choice , and he also used a very large number (of the order of magnitude ) of parts. He also used non-measurable quantities for the parts. When assembling it in the proof it only got by with translations (without rotations). He also proved that such a decomposition is possible for any plane polygons and other surfaces bounded by sufficiently smooth curves. Thus Laczkovich's positive solution to the problem for such surfaces represents a partial analogue to the Banach-Tarski paradox in three or more dimensions.
In 1993 he received the Ostrowski Prize . He has been a corresponding member of the Hungarian Academy of Sciences since 1993 and a full member since 1998 . In 1998 he received the Széchenyi Prize . In 1992 he was invited speaker at the European Congress of Mathematicians in Paris (Paradoxical decompositions: a survey of recent results).
As a member of the A: N: S choir (tenor), with which he also recorded, he sings Renaissance choral music in his spare time.
Fonts
- Conjecture and Proof , Mathematical Association of America, Washington DC 2001, ISBN 0-88385-722-7
Web links
Individual evidence
- ↑ Laczkovich Equidecomposability and discrepancy: a solution to Tarski's circle squaring problem , Journal für die Reine und Angewandte Mathematik, Vol. 404, 1990, pp. 77-117
- ↑ The dimension is not changed when the surfaces are broken down and reassembled. This is not possible in two dimensions because the Banach-Tarski paradox does not hold in two dimensions.
- ↑ Miklós Lazkovich's website at the Hungarian Academy of Sciences ( page no longer available , search in web archives ) Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice.
- ^ Website of the A: N: S choir
personal data | |
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SURNAME | Laczkovich, Miklós |
BRIEF DESCRIPTION | Hungarian mathematician |
DATE OF BIRTH | February 21, 1948 |
PLACE OF BIRTH | Budapest |