Skip to main content Accessibility help
×
Home

The size of the region occupied by one type in an invasion process

  • Aidan Sudbury (a1)

Abstract

Particles are situated on a rectangular lattice and proceed to invade each other's territory. When they are equally competitive this creates larger and larger blocks of one type as time goes by. It is shown that the expected size of such blocks is equal to the expected range of a simple random walk.

Copyright

References

Hide All
Clifford, P. and Sudbury, A. W. (1973) A model for spatial conflict. Biometrika 60, 581588.
Dvoretzky, A. and Erdös, P. (1951) Some problems on random walk in space. Proc. 2nd Berkeley Symp. Math. Statist. Prob. , 353367.

Keywords

The size of the region occupied by one type in an invasion process

  • Aidan Sudbury (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.