## Electronic Journal of Probability

### Mixing time of the fifteen puzzle

#### Abstract

We show that the mixing time for the fifteen puzzle in an $n \times n$ torus is on the order of $n^4 \log n$.

#### Article information

Source
Electron. J. Probab., Volume 22 (2017), paper no. 9, 29 pp.

Dates
Accepted: 17 October 2016
First available in Project Euclid: 31 January 2017

https://projecteuclid.org/euclid.ejp/1485831705

Digital Object Identifier
doi:10.1214/16-EJP11

Mathematical Reviews number (MathSciNet)
MR3613702

Zentralblatt MATH identifier
1360.60136

#### Citation

Morris, Ben; Raymer, Anastasia. Mixing time of the fifteen puzzle. Electron. J. Probab. 22 (2017), paper no. 9, 29 pp. doi:10.1214/16-EJP11. https://projecteuclid.org/euclid.ejp/1485831705

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