Eigenvalues of Words in Two Positive Definite Letters

Subject: Mathematics  Operator Algebras  Mathematics  Rings and Algebras  15A24, 15A57  15A18, 15A90arxiv: Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)  Computer Science::Formal Languages and Automata Theory

References
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F (p, q) = F (p, q) = g1(q)ap + g2(q)bp + g3(q)cp, h1(p)rq + h2(p)sq + h3(p)tq, F (p, q) = F (p, q) = F (p, q) < 0; F (p, q) < 10 · F (p − 1, q); and F (p, q) < 10 · F (p, q − 1).
[BMV] D. Bessis, P. Moussa, and M. Villani, Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics, J. Math. Phys., 16 (1975), pp. 23182325.
[HJ] R. Horn and C. R. Johnson, Matrix Analysis, Cambridge University Press, New York, 1985.
[K] R. Kemp, On the number of words in the language {w ∈ Σ∗  w = wR}2, Discrete Math., 40 (1982), pp. 225234.
[S] I. Spitkovsky, private communication, Williamsburg, VA, 1999.
Mathematics Department, College of William and Mary, Williamsburg, VA 23187 8795 Email address: crjohnso@math.wm.edu
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