Recent preprints
Updated: February, 2024

1. Piatnitski, A.;  Zhizhina, E.  High-contrast periodic random jumps in continuum and limit Markov process. , Preprint arXiv:2402.06769, (2024). PDF file
2. Piatnitski, A.; Rybalko, V.  Homogenization of nonlocal spectral problems. , Preprint arXiv:2401.16576, (2024). PDF file
3. Piatnitski, A.;  Sloushch, V.; Suslina, T.; Zhizhina, E.  Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector. , Preprint arXiv:2311.16574, (2023). PDF file
4. Borisov, D.;  Piatnitski, A.; Zhizhina, E.  Non-local convolution type operators with potential: essential and infinite discrete spectrum. , Preprint arXiv:2311.08906, (2023). PDF file
5. Piatnitski, A.;  Zhizhina, E.  Homogenization of non-autonomous evolution problems for convolution type operators in random media. , Preprint arXiv:2307.13391, (2023). PDF file
6. Huang, G.;   Kuksin, S.;   Piatnitski, A.  Averaging for stochastic perturbations of integrable systems. , Preprint arXiv:2307.07040, (2023). PDF file
7. Piatnitski, A.;  Zhizhina, E.  Homogenization of non-autonomous operators of convolution type in periodic media. , Preprint arXiv:2302.11946 , (2023). PDF file
8. Piatnitski, A.;  Sloushch, V.; Suslina, T.; Zhizhina, E.  On operator estimates in homogenization of non-local operators of convolution type. , Preprint arXiv:2204.13771, (2022). PDF file
9. Piatnitski, A.;  Shamaev, A. Zhizhina, E.  Mathematical multi-scale model of water purification. , Preprint arXiv:2204.12220, (2022). PDF file
10. Borisov, D.;  Piatnitski, A.; Zhizhina, E.  On spectra of convolution operators with potentials. , Preprint arXiv:2201.04511, (2022). PDF file
11. Kuksin, S.;  Nadirashvili, N.;  Piatnitski, A.; Hölder estimates for solutions of parabolic SPDEs. , Preprint arXiv:2110.00951, (2021). PDF file
12. Amaziane, B.;  Piatnitski, A.; Zhizhina, E.  Homogenization of a diffusion in a high-contrast random environment and related Markov semigroups. , Preprint arXiv:2107.04901, (2021). PDF file
13. Alicandro, R.;  Ansini, N.;  Braides, A.;  Piatnitski, A.; Tribuzio, A.E.  A variational theory of convolution-type functionals. , Preprint arXiv:2007.03993, (2020). PDF file
14. Piatnitski, A.;  Pirogov, S.;  Zhizhina, E.  Large Deviations for Markov jump processes in periodic and locally periodic environments. , Preprint arXiv:2006.11128, (2020). PDF file
15. Braides, A.;  Piatnitski, A.  Homogenization of ferromagnetic energies on Poisson random sets in the plane. , Preprint arXiv:2001.08919, (2020). PDF file
16. Braides, A.;  Piatnitski, A.  Homogenization of quadratic convolution energies in periodically perforated domains. , Preprint arXiv:1909.08713, (2019). PDF file
17. Braides, A.;  Piatnitski, A.  Homogenization of random convolution energies in heterogeneous and perforated domains. , Preprint arXiv:1909.06832, (2019). PDF file
18. Piatnitski, A.   Ptashnyk, M.; Homogenization of biomechanical models of plant tissues with randomly distributed cells. , Preprint arXiv:1909.04712, (2019). PDF file
19. Kondratiev, Yu.;  Piatnitski, A.;   Zhizhina, E.  Asymptotics of fundamental solutions for time fractional equations with convolution kernels. , Preprint arXiv:1907.08677, (2019). PDF file
20. Kleptsyna, M.;  Piatnitski, A.;   Popier, A.  On the fundamental solution of heat and stochastic heat equations. , Preprint arXiv:1906.07604, (2019). PDF file
21. Piatnitski, A.;   Zhizhina, E.  Stochastic homogenization of convolution type operators. , Preprint arXiv:1806.00995, (2018). PDF file

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