458 citations
- M. Sumihama2 profiles9 · h 45
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- The University of OsakaJP8 papers
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- Institute of Physics, Academia SinicaTW7 papers
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- Ohio UniversityUS7 papers
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- Japan Atomic Energy AgencyJP6 papers
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5 papers · 1 filter
Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positiv…
The Cauchy two-matrix model
M. Bertola, M. Gekhtman, J. Szmigielski
We introduce a new class of two(multi)-matrix models of positive Hermitean matrices coupled in a chain; the coupling is related to the Cauchy kernel and differs from the exponentia…
Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems
G. W. Patrick, R. M. Roberts, C. Wulff
In the presence of noncompact symmetry, the stability of relative equilibria under momentum-preserving perturbations does not generally imply robust stability under momentum-changi…
Skew critical problems
C. Cuell, G. W. Patrick
Skew critical problems occur in continuous and discrete nonholonomic Lagrangian systems. They are analogues of constrained optimization problems, where the objective is differentia…
Weak Singularity for Two-Dimensional Nonlinear Equations of Hydrodynamics and Propagation of Shock Waves
Vitaly V. Bulatov, Yuriy V. Vladimirov, Vasily A. Vakorin
A system of two-dimensional nonlinear equations of hydrodynamics is considered. It is shown that for the this system in the general case a solution with weak discontinuity-type sin…