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nlin.SI2012★ 2 cited
New Applications of Quantum Algebraically Integrable Systems in Fluid Dynamics
Anne Boutet de Monvel, Igor Loutsenko, Oksana Yermolayeva
The rational quantum algebraically integrable systems are non-trivial generalizations of Laplacian operators to the case of elliptic operators with variable coefficients. We study…
math-ph2012★ 8 cited
On Exact Multi-fractal Spectrum of the Whole-Plane SLE
Igor Loutsenko, Oksana Yermolayeva
We consider the whole-plane Shramm-Loewner evolution. Using exact solutions of fundamental equations for moments of derivative of conformal mappings we determine its average integr…