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Project Information

EVOLVING COMBINATORIAL STRUCTURES

Agency:
NSF

National Science Foundation

Project Number:
1308899
Contact PI / Project Leader:
CRANE, HARRY
Awardee Organization:
RUTGERS THE ST UNIV OF NJ NEW BRUNSWICK

Description

Abstract Text:
The project studies probability models for evolving combinatorial structures, particularly partition, tree and graph-valued stochastic processes. Specific topics to be studied include representation and characterization theorems of combinatorial Markov processes, continuum tree and interval graph scaling limits, consistent systems of partition, tree and graph-valued processes, and connections to random matrices and Levy processes. The dominant theme of the research will be the effect of probabilistic symmetries, especially exchangeability, on the structural properties of evolving large combinatorial objects, as these structural properties impact various practical aspects of these processes.

As a result of this project, we should gain further understanding of models for time-varying discrete structures, especially partitions, trees and networks. Such processes arise as natural models in various disciplines, including genetics, physics, biology, computer science and statistics. In particular, understanding graph-valued processes has potentially far-reaching applications in the diverse and burgeoning field of complex networks. Effective models for real-world networks are relevant to problems in national security, public health, sociology, computer science and physical sciences. Other areas in which combinatorial models can be useful include phylogenetics, machine learning, statistics and Bayesian inference.
Project Terms:
Area; Biology; combinatorial; Complex; computer science; Discipline; Genetic; Graph; Machine Learning; Markov Chains; Modeling; National Security; Phylogenetic Analysis; physical science; Physics; Probability; Process; Property; Research; Sociology; statistics; Stochastic Processes; Structure; System; Time; Trees

Details

Contact PI / Project Leader Information:
Name:  CRANE, HARRY
Other PI Information:
Not Applicable
Awardee Organization:
Name:  RUTGERS THE ST UNIV OF NJ NEW BRUNSWICK
City:  NEW BRUNSWICK    
Country:  UNITED STATES
Congressional District:
State Code:  NJ
District:  06
Other Information:
Fiscal Year: 2013
Award Notice Date: 19-Jul-2013
DUNS Number: 001912864
Project Start Date: 01-Aug-2013
Budget Start Date:
CFDA Code: 47.049
Project End Date: 31-Jul-2016
Budget End Date:
Agency: ?

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National Science Foundation
Project Funding Information for 2013:
Year Agency

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FY Total Cost
2013 NSF

National Science Foundation

$130,350

Results

i

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