Preprints

Z. Avetisyan, M. Grigoryan, M. Ruzhansky, "Elements (functions) that are universal with respect to a minimal system", arXiv:2306.11156, 2023. Preprint

Z. Avetisyan, A. Brauer, O.-B. Buran, J. Morentin, T. Wang, "Invariant Geometric Structures on Almost Abelian Lie Groups", arXiv:2308.09203, 2023. Preprint

Z. Avetisyan, O.-B. Buran, A. Paul, L. Reed, "Topological Properties of Almost Abelian Groups", arXiv:2308.08059, 2023. Preprint

Papers in Refereed Journals and Books

17. Z. Avetisyan, M. Ruzhansky, "A note on the polar decomposition in metric spaces", Journal of Mathematical Sciences, Series A, to appear. Preprint

16. Z. Avetisyan, A. Karapetyants, "Homogeneous operators and homogeneous integral operators", Mathematical Methods in the Applied Sciences, 46(1), 2023. Preprint Weblink

15. Z. Avetisyan, O. Evnin, K. Mkrtchyan, "Nonlinear (chiral) p-form electrodynamics", J. High Energ. Phys., 112, 2022. Preprint Weblink

14. Z. Avetisyan, "The structure of almost Abelian Lie algebras", International Journal of Mathematics, 33(8), 2022. Preprint Weblink

13. M. Almora, Z. Avetisyan, K. Berlow, I. Martin, G. Rakholia, K. Yang, H. Zhang, Z. Zhao, "Almost Abelian Lie groups, subgroups and quotients", Journal of Mathematical Sciences, Series A 266, 2022. Preprint Weblink

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 299, 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