Preprints

Z. Avetisyan, O. Evnin, K. Mkrtchyan, "Nonlinear (chiral) p-form electrodynamics", arXiv:2205.02522, 2022. Preprint

Z. Avetisyan, "Jordanable almost Abelian Lie algebras", arXiv:1811.01252, 2018. Preprint

Papers in Refereed Journals and Books

15. Z. Avetisyan, "Structure of almost Abelian Lie algebras", to appear in International Journal of Mathematics, 2022. Preprint

14. M. Almora, Z. Avetisyan, K. Berlow, I. Martin, G. Rakholia, K. Yang, H. Zhang, Z. Zhao, "Analysis on almost Abelian Lie groups: Groups, subgroups and quotients", to appear in Journal of Mathematical Sciences, Series A, 2022. Preprint

13. Z. Avetisyan, A. Karapetyants, "Homogeneous operators and homogeneous integral operators", to appear in Mathematical Methods in the Applied Sciences, 2022. Preprint

12. Z. Avetisyan, O. Evnin, K. Mkrtchyan, "Democratic Lagrangians for Nonlinear Electrodynamics", Physical Reviews Letters, 127, 2021. Preprint Weblink

11. Z. Avetisyan, M. Capoferri, "Partial Differential Equations and Quantum States in Curved Spacetimes", Mathematics, 2021.  Weblink

10. Z. Avetisyan, M. Grigoryan, M. Ruzhansky, "Approximations in L1 with convergent Fourier series", Mathematische Zeitschrift, 2021. Preprint Weblink

9. Z. Avetisyan, "Global hyperbolicity and factorization in cosmological models", Journal of Mathematical Physics, 62 (3), 2021. Preprint Weblink

8. Z. Avetisyan, D. Harutyunyan, N. Hovsepyan, "Rigidity of a thin domain depends on the curvature, width, and boundary conditions", Applied Mathematics and Optimization, 2021. Preprint Weblink

7. Z. Avetisyan, J. Sjöstrand, D. Vassiliev, "The second Weyl coefficient for a first order system", Analysis as a Tool in Mathematical Physics (In Memory of Boris Pavlov), Operator Theory: Advances and Applications, vol. 276, Birkhäuser 2020. Preprint Weblink

6. Z. Avetisyan, Y.-L. Fang, N. Saveliev, D. Vassiliev, "Analytic definition of spin structure", Journal of Mathematical Physics, 58 (8), 2017. Preprint Weblink

5. Z. Avetisyan, Y.-L. Fang, D. Vassiliev, "Spectral asymptotics for first order systems", Journal of Spectral Theory, 6, pages 695-715, 2016. Preprint Weblink

4. Z. Avetisyan, "A unified mode decomposition method for physical fields in homogeneous cosmology", Reviews in Mathematical Physics, 26 (3), pages 1430001-1 to 1430001-60, 2014. Preprint Weblink

3. Z. Avetisyan and R. Verch, "Explicit harmonic and spectral analysis in Bianchi I-VII type cosmologies", Classical and Quantum Gravity, 30 (15), pages 155006-1 to 155006-33, 2013. Preprint Weblink

2. Z. Avetisyan, "The completion of mode decomposition program in FRW spacetimes", Armenian Journal of Physics, 6 (2), pages 85 to 91, 2013. Weblink

1. Z. Avetisyan, D. Saakian, "Recombination in one- and two-dimensional fitness landscapes", Physical Review E, 05, pages 051916-1 to 051916-9, 2010. Weblink


Conference Proceedings

1. Z. Avetisyan, "A unified mode decomposition method for physical fields in homogeneous cosmology", Physics of Particles and Nuclei Letters, 11 (7), pages 996 to 998, 2014. Weblink