Gambling systems and multiplication-invariant measures

DOI10.1006/aama.1998.0630zbMath0923.28008OpenAlexW2124596906MaRDI QIDQ1284501

Jeffrey S. Rosenthal, Peter O. Schwartz

Publication date: 26 May 1999

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1998.0630

zbMATH Keywords

Farey shiftGauss shiftentropiesgambling gameSzekeres algorithm

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Probabilistic games; gambling (91A60)

Cites Work

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• On measures simultaneously 2- and 3-invariant
• A generalization of a result of R. Lyons about measures on \([0,1)\)
• Normal numbers from independent processes
• ×2 and ×3 invariant measures and entropy
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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