Increasing sequences of independent points on the planar lattice
Seppäläinen, Timo
Ann. Appl. Probab., Tome 7 (1997) no. 1, p. 886-898 / Harvested from Project Euclid
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In 1977 Vershik and Kerov deduced the asymptotic normalized length of the longest increasing sequence among independent points uniformly distributed on the unit square. We solve the analogous problem for points on the planar square lattice that are present independently of each other.
Publié le : 1997-11-14
Classification:  Ulam's problem,  increasing sequences,  asymptotic shape,  60K35,  60C05 
@article{1043862416,
     author = {Sepp\"al\"ainen, Timo},
     title = {Increasing sequences of independent points on the planar
		 lattice},
     journal = {Ann. Appl. Probab.},
     volume = {7},
     number = {1},
     year = {1997},
     pages = { 886-898},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1043862416}
}

Seppäläinen, Timo. Increasing sequences of independent points on the planar
		 lattice. Ann. Appl. Probab., Tome 7 (1997) no. 1, pp.  886-898. http://gdmltest.u-ga.fr/item/1043862416/