95 citations
- Aarhus UniversityDK5 papers
- Pennsylvania State UniversityUS4 papers
- The University of SydneyAU4 papers
- College of CharlestonUS3 papers
- Cornell UniversityUS3 papers
- Louisiana State UniversityUS3 papers
- University of California, RiversideUS3 papers
- University of Illinois ChicagoUS3 papers
- University of PisaIT3 papers
- York UniversityCA3 papers
- California Polytechnic State UniversityUS2 papers
- Center for Astrophysics Harvard & SmithsonianUS2 papers
4 papers · 1 filter
On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations
Anton Dzhamay, Tomoyuki Takenawa
Although the theory of discrete Painlevé (dP) equations is rather young, more and more examples of such equations appear in interesting and important applications. Thus, it is esse…
Nonlinear PDEs for Fredholm determinants arising from string equations
M. Adler, M. Cafasso, P. van Moerbeke
String equations related to 2D gravity seem to provide, quite naturally and systematically, integrable kernels, in the sense of Its-Izergin-Korepin and Slavnov. Some of these kerne…
Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlevé Equations
Anton Dzhamay
We study factorizations of rational matrix functions with simple poles on the Riemann sphere. For the quadratic case (two poles) we show, using multiplicative representations of su…
On the Lagrangian Structure of the Discrete Isospectral and Isomonodromic Transformations
Anton Dzhamay
We establish the Lagrangian nature of the discrete isospectral and isomonodromic dynamical systems corresponding to the re-factorization transformations of the rational matrix func…