• Corpus ID: 243985984

Multivariate Analytic Combinatorics for Cost Constrained Channels and Subsequence Enumeration

@article{Lenz2021MultivariateAC,
  title={Multivariate Analytic Combinatorics for Cost Constrained Channels and Subsequence Enumeration},
  author={Andreas Lenz and Stephen Melczer and Cyrus Rashtchian and Paul H. Siegel},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.06105}
}
Analytic combinatorics in several variables is a powerful tool for deriving the asymptotic behavior of combinatorial quantities by analyzing multivariate generating functions. We study information-theoretic questions about sequences in a discrete noiseless channel under cost and forbidden substring constraints. Our main contributions involve the relationship between the graph structure of the channel and the singularities of the bivariate generating function whose coefficients are the number of… 

Rate-Constrained Shaping Codes for Finite-State Channels With Cost

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