Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically distributed random variables converges weakly to a non-Gaussian ...

The old adage goes that if you give an infinite number of monkeys an infinite amount of time hitting random keys on a typewriter, one of them will eventually type out the complete works of William ...

The idea that a monkey randomly pressing keys on a typewriter for an infinite amount of time would eventually type out the complete works of Shakespeare is a tale told by an idiot, full of sound and ...

At the University of Vaasa in Finland, mathematician Yosra Barkaoui has successfully generalized a fundamental theorem that had remained confined to “bounded” systems for more than 40 years.

The Infinite Monkey Theorem is a theorem that says, 'If monkeys keep typing randomly on a typewriter, they will eventually be able to write the works of William Shakespeare by chance.' This assumes ...

It’s a staple of popular fiction, but two mathematicians in Australia now say that an age-old maxim is nothing more than bananas. The Infinite Monkey Theorem hypothesizes that, given a typewriter and ...

Using free harmonic analysis and the theory of regular variation, we show that the monotonic strict domain of attraction for the standard arc-sine law coincides with the classical one for the standard ...

In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...