arXiv
Open Access
2026
Sequential densities of rational languages
Alexi Block Gorman
Dominique Perrin
Abstrak
We introduce the notion of density of a rational language with respect to a sequence of probability measures. We prove that if $(μ_n)$ is a sequence of Bernoulli measures converging to a positive Bernoulli measure $\overlineμ$, the sequential density is the ordinary density with respect to $\overlineμ$. We also prove that if $(μ_n)$ is a sequence of invariant probability measures converging in the strong sense to an invariant probability measure $\overlineμ$, then the sequential density of every rational language exists for this sequence.
Penulis (2)
A
Alexi Block Gorman
D
Dominique Perrin
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2026
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- arXiv
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- Open Access ✓