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20002021
most citedThe exploration process of inhomogeneous continuum random trees, and an extension of Jeulin's local time identity

41 citations · 108 across the 18 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.PR2012

Fluctuations of Martingales and Winning Probabilities of Game Contestants

David Aldous, Mykhaylo Shkolnikov

Within a contest there is some probability M_i(t) that contestant i will be the winner, given information available at time t, and M_i(t) must be a martingale in t. Assume continuo…

physics.soc-ph2012

A Spatial Model of City Growth and Formation

David Aldous, Bowen Huang

We introduce a model in which city populations grow at rates proportional to the area of their "sphere of influence", where the influence of a city depends on its population (to po…