• Corpus ID: 11773543

The Half-Perimeter Generating Function of Gated and Wicketed Ferrers Diagrams

@article{Ayyer2007TheHG,
  title={The Half-Perimeter Generating Function of Gated and Wicketed Ferrers Diagrams},
  author={Arvind Ayyer},
  journal={arXiv: Combinatorics},
  year={2007}
}
  • A. Ayyer
  • Published 26 October 2007
  • Mathematics
  • arXiv: Combinatorics
We show that the half-perimeter generating functions for the number of wicketed and gated Ferrers diagrams is algebraic. Furthermore, the generating function of the wicketed Ferrers diagrams is closely related to the generating function of the Catalan numbers. The methodology of the experimentation, as well as the proof, is the umbral transfer matrix method. 
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STATISTICAL MECHANICS AND COMBINATORICS OF SOME DISCRETE LATTICE MODELS

OF THE DISSERTATION Statistical Mechanics and Combinatorics of Some Discrete Lattice Models by Arvind Ayyer Dissertation Director: Professor Joel L. Lebowitz Many problems in statistical physics

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E-mail address: ayyer@physics.rutgers.edu

  • E-mail address: ayyer@physics.rutgers.edu

Department of Physics, 136 Frelinghuysen Rd

  • Department of Physics, 136 Frelinghuysen Rd

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