Painleve Transcendents: The Riemann-hilbert Approach

By A. S. Fokas, Alexander Its, A. Kapaev, V. Novokshenov. 2006

455 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Literature and Literary Theory, Music

View Paper: https://www.semanticscholar.org/paper/0b380565cdb9002f6b051864190e170544820750

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Marcos Mariño
2. Yasuyuki Hatsuda
3. B. Eynard
4. Sanefumi Moriyama
5. R. Schiappa
6. V. Bouchard
7. A. Klemm
8. Kazumi Okuyama

In Literature and Literary Theory

1. Marcos Mariño

In Music

1. Marcos Mariño

Citations in the corpus

• Lectures on non‐perturbative effects in large N gauge theories, matrix models and strings (2012, methodology): “ I and its tritronquee solutions. The meaning of the formal power series solution to PI (2.28) can be claried by looking at actual solutions of the Painleve I ODE. It can be shown (see for example [60] and [81]) that there exist ve dierent genuine meromorphic solutions of (2.27) with the asymptotic ”
• Higher‐order analogues of the Tracy‐Widom distribution and the Painlevé II hierarchy (2009, methodology): “For our choice of Stokes multipliers, it was proven [22, 23] that Ψ can be written near 0 in the form:”
• The Distributions of Random Matrix Theory and their Applications (2009, background): “See [ 13 ] for a detailed account of Painlev´e transcendents.”