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On Fast Growth Models for Random Structures

Description:

We introduce and study three fast growth models for random structures: hierarchical lattice networks, dynamic Pólya-Eggenberger urns, and exponential binarytrees.We study the degree prole of random hierarchical lattice networks. At everystep, each edge is either serialized (with probability p) or...

Author:

Feng, Yarong

Keyword:

contraction, polya urns, series parallel graphs, binary trees, random graph, and applied probability

GW Unit:

Statistics

Degree:

Ph.D.

Advisor:

Mahmoud, Hosam M

Committee Member(s):

Wang, Judy Huixia, Hitczenko, Pawel, Gastwirth, Joseph, and Barta, Winfried

Resource Type:

Thesis or Dissertation