University of Birmingham > Talks@bham > Combinatorics and Probability seminar > Parking on the integers

Parking on the integers

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  • UserMichał Przykucki (University of Birmingham)
  • ClockThursday 21 February 2019, 13:00-14:00
  • HouseWatson LTB.

If you have a question about this talk, please contact Richard Montgomery.

Independently at each point in Z; randomly place a car with probability p and otherwise place an empty parking space. Each car independently executes a simple, symmetric random walk until it finds an empty parking space in which to park. How long does a car expect to drive before parking? Taking further a project of Damron, Gravner, Junge, Lyu, and Sivakoff, we show that for p < 1/2 the expected journey length of a car by time t is finite, and for p = 1/2 it grows like t^{3/4} up to polylogarithmic factors.

Joint work with Alexander Roberts and Alex Scott.

This talk is part of the Combinatorics and Probability seminar series.

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