70 citations · 573 across the 66 of their papers we have counts for
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nlin.SI2017★ 6 cited
Deforming Lie algebras to Frobenius integrable non-autonomous Hamiltonian systems
Maciej Blaszak, Krzysztof Marciniak, Artur Sergyeyev
Motivated by the theory of Painlevé equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditi…
nlin.SI2017★ 5 cited
Non-Homogeneous Hydrodynamic Systems and Quasi-Stäckel Hamiltonians
Krzysztof Marciniak, Maciej Blaszak
In this paper we present a novel construction of non-homogeneous hydrodynamic equations from what we call quasi-Stäckel systems, that is non-commutatively integrable systems constr…
math-ph2017
Deformation quantization with minimal length
Ziemowit Domański, Maciej Błaszak
We develop a complete theory of non-formal deformation quantization exhibiting a nonzero minimal uncertainty in position. An appropriate integral formula for the star-product is in…