Gambling Systems and Multiplication-Invariant Measures by
by Jeffrey S. Rosenthal, Peter O. Schwartz
ftp://markov.utstat.toronto.edu/jeff/bold.ps.Z
Add To MetaCart
Abstract:
This short paper describes a surprising connection between two previously unrelated topics: the probability of winning certain gambling games, and the invariance of certain measures under pointwise multiplication on the circle. The former has been well-studied by
Citations
| 41 | Probability and Measure, 3rd Ed – Billingsley - 1995 |
| 10 | On measures simultaneously 2- and 3-invariant – Lyons - 1988 |
| 6 | Normal numbers from independent processes, Ergodic Theory and Dynamical Systems 12 – Feldman, Smorodinsky - 1992 |
| 6 | A generalization of a result of Lyons about measures in [0; 1 – Feldman - 1993 |
| 4 | How To Gamble If You Must – Dubins, Savage - 1965 |
| 1 | Rham (1956--57), Sur quelques courbes definies par des 'equations fonctionelles. Rendiconti del Seminario Matematico dell'Univerit`a e del Politecnico di Torino 16 – de |
