(Tyskland)
|
Ehrhard Behrends is
professor of mathematics at the Free University of Berlin. His areas
of research are Functional Analysis and Probability. Since a long time he
tries to bridge the gap between the professional mathematicians
and the nonspecialists. He has given numerous talks and published books
and articles in journals for a general public. Since May 2003
he has a weekly column – the first mathematical column in Germany
-- (,,Fünf Minuten Mathematik’’) in the journal DIE WELT. Professor Behrends works since
1998 as the Secretary of the ,,Deutsche Mathematiker-Vereinigung’’. There
he also is the responsible for the internet domain www.mathematik.de which addresses
to all people who are interested in mathematics. E-post: behrends@math.fu-berlin.de |
The talk will present and explain Parrondo’s
paradox: this paradox refers to the fact that there are loosing gambling
games which, when being combined stochastically or in a suitable deterministic
way, give rise to winning games.
First the paradox will be visualized
by a computer simulation. Then the mathematical background is explained,
nothing more than very elementary probability theory will come into play.
And finally a solution is given: One can understand why and how the paradox
,,works’’ by means of a translation to a simple geometrical question.
No special mathematical background is
needed to follow this talk.