Showing math.PRShow all
3 papers · 1 filter
math.PR2025
Elephant Random Walk with multiple extractions
Simone Franchini
Consider a generalized Elephant Random Walk in which the step is chosen by selecting previous steps with odd and then going in the majority direction with a probability …
math.PR2025
Large Deviations Theory of Increasing Returns
Simone Franchini, Riccardo Balzan
An influential theory of increasing returns has been proposed by the economist W. B. Arthur in the '80s to explain the lock-in phenomenon between two competing commercial products.…
math.PR2025
Large deviations for Generalized Polya Urns with arbitrary urn function
Simone Franchini
We consider a generalized two-color Polya urn (black and withe balls) first introduced by Hill, Lane, Sudderth where the urn composition evolves as follows: let $Ï:\left[0,1\right…