𝔖 Bobbio Scriptorium
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Generalized Orthogonal Polynomials, Discrete KP and Riemann–Hilbert Problems

✍ Scribed by M. Adler; P. van Moerbeke


Book ID
105904825
Publisher
Springer
Year
1999
Tongue
English
Weight
208 KB
Volume
207
Category
Article
ISSN
0010-3616

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A Riemann–Hilbert problem for skew-ortho
✍ Virgil U. Pierce 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 191 KB

We find a local (d + 1) × (d + 1) Riemann-Hilbert problem characterizing the skew-orthogonal polynomials associated to the partition function of orthogonal ensembles of random matrices with a potential function of degree d. Our Riemann-Hilbert problem is similar to a local d × d Riemann-Hilbert prob