The size of the region occupied by one type in an invasion process
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.
1976 ◽
Vol 13
(02)
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pp. 355-356
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1988 ◽
Vol 25
(01)
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pp. 58-69
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2000 ◽
Vol 16
(3-4)
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pp. 399-406
2010 ◽
Vol 149
(2)
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pp. 351-372
1992 ◽
Vol 29
(02)
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pp. 305-312
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2018 ◽
Vol 371
(4)
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pp. 2553-2573
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