The inspection paradox in stochastic resetting

نویسندگان

چکیده

The remaining travel time of a plane shortens with every minute that passes from its departure, and flame diminishes candle second it burns. Such everyday occurrences bias us to think processes which have already begun will end before those just started. Yet, the inspection paradox teaches converse can also happen when randomness is at play. comes probability theory, where often illustrated by measuring how long passengers wait upon arriving bus stop random time. Interestingly, such may on average longer than mean between arrivals -- counter-intuitive result, since one expects less coming some after previous departed. In this \textit{viewpoint}, we review origins. insight gained then used explain why, in situations, stochastic resetting expedites completion processes. Importantly, done elementary mathematical tools help develop probabilistic intuition for works. This viewpoint thus be as an accessible introduction subject.

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ژورنال

عنوان ژورنال: Journal of Physics A

سال: 2022

ISSN: ['1751-8113', '1751-8121']

DOI: https://doi.org/10.1088/1751-8121/ac3cdf