Publications and preprints:

Explicit conserved operators for a class of integrable bosonic networks from the classical Yang-Baxter equation, Phillip S. Isaac, Jon Links, Inna Lukyanenko, Jason Werry, in preparation (2025)
An integrable case of the p+ip pairing Hamiltonian interacting with its environment, Inna Lukyanenko, Phillip S. Isaac, Jon Links, J. Phys. A: Math. Theor. 49, 084001 (2016)
Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality, Alexander I. Bobenko, Udo Hertrich-Jeromin, Inna Lukyanenko, Discrete Comput Geom 52, 612-629 (2014)
On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system, Inna Lukyanenko, Phillip S. Isaac, Jon Links, Nucl. Phys. B 886, 364-398 (2014)
On a Probabilistic Interpretation of Relativistic Quantum Mechanics, Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko, arXiv: 1012.1719 (2010)
Quantum Action Principle in Relativistic Mechanics, Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko, arXiv: 1010.3824 (2010)
Two-Time Quantum Mechanics, Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko, arXiv: 1003.2830 (2010)
On a New Form of Quantum Mechanics, Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko, arXiv: 0912.3095 (2009)
Generalized Canonical Form of a Multi-Time Dynamical Theory and Quantization, Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko, arXiv: 0910.2157 (2009)
Quantum Geometry of a Configuration Space in a Covariant Dynamical Theory, Natalia Gorobey, Alexander Lukyanenko, Inna Lukyanenko, arXiv: 0908.4543 (2009)
Path integral representation of the evolution operator for the Dirac equation, Alexander Lukyanenko, Inna Lukyanenko, arXiv: gr-qc/0605129, Proceedings of SPIE 6597, 59703-59703 (2007)