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RSA
1998
14 years 11 months ago
1998
We study Galton-Watson branching processes conditioned on the total progeny to be n which are scaled by a sequence cn tending to infinity as o( √ n). It is shown that this proce...
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RSA
2002
14 years 11 months ago
2002
: We prove the main conjecture of the paper "On the expected value of the minimum assignment" by Marshall W. Buck, Clara S. Chan, and David P. Robbins [Random Structures ...
RSA
2002
14 years 11 months ago
2002
Rigorous bounds for the bond percolation critical probability are determined for three Archimedean lattices: .7385 < pc((3, 122 ) bond) < .7449, .6430 < pc((4, 6, 12) bon...
RSA
2008
14 years 11 months ago
2008
: We study a model of random uniform hypergraphs, where a random instance is obtained by adding random edges to a large hypergraph of a given density. The research on this model fo...
RSA
2008
14 years 11 months ago
2008
We study the cutoff phenomenon for generalized riffle shuffles where, at each step, the deck of cards is cut into a random number of packs of multinomial sizes which are then riffl...