The Kontsevich Matrix Integral: Convergence to the Painlevé Hierarchy and Stokes’ Phenomenon
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DOI: 10.1007/s00220-017-2856-3
Abstract: We show that the Kontsevich integral on $${n\times n}$$n×n matrices ($${n < \infty}$$n read more here.
Keywords: painlev hierarchy; stokes phenomenon; kontsevich matrix; tau function ... See more keywords
Stokes phenomenon, Gelfand–Zeitlin systems and relative Ginzburg–Weinstein linearization
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2018.09.012
Abstract: In 2007, Alekseev-Meinrenken proved that there exists a Ginzburg-Weinstein diffeomorphism from the dual Lie algebra ${\rm u}(n)^*$ to the dual Poisson Lie group $U(n)^*$ compatible with the Gelfand-Zeitlin integrable systems. In this paper, we explicitly… read more here.
Keywords: weinstein linearization; gelfand zeitlin; stokes phenomenon; ginzburg weinstein ... See more keywords