p-Adic behaviour of Bernoulli probabilities

✍ Scribed by Andrew Khrennikov

• Book ID: 104302734
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 224 KB
• Volume: 37
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(97)00140-5

✦ Synopsis

We study standard Bernoulli probability scheme for independent random variables (the symmetric case). As usual, we are interested in limits of probabilities when the number of trials approaches infinity. But this limits are considered with respect to a p-adic metric. This is sufficiently exotic metric and it is surprising that ordinary (classical) probabilities have limits with respect to this metric. Thus we found a new asymptotic of the classical Bernoulli probabilities which was not visible before.