{"id":273,"date":"2019-11-17T15:11:34","date_gmt":"2019-11-17T14:11:34","guid":{"rendered":"https:\/\/blogg.uit.no\/api009\/?page_id=273"},"modified":"2026-01-14T12:02:56","modified_gmt":"2026-01-14T11:02:56","slug":"recent-preprints","status":"publish","type":"page","link":"https:\/\/blogg.uit.no\/api009\/recent-preprints\/","title":{"rendered":"Recent Preprints"},"content":{"rendered":"


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\nRecent preprints<\/span><\/p>\n

Updated: January, 2026<\/span><\/span>
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  1. <\/li>\n<\/ol>\n
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    1. Piatnitski, A.; Sloushch, V.; Suslina, T.; Zhizhina, E.  Homogenization of L\u00e9vy-type operators: operator estimates with correctors.<\/em>. <\/span>, Preprint arXiv:2601.06832, (2026).
      \n PDF file<\/a><\/li>\n
    2. Cherdantsev, M.;  Piatnitski, A.; Velcic, I.  Homogenisation and spectral convergence of high-contrast convolution type operators<\/em>. <\/span>, Preprint arXiv:2507.02638, (2025).
      \n       PDF file<\/a><\/li>\n
    3. Piatnitski, A.; Zhizhina, E.  Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients.<\/em>. <\/span>, Preprint arXiv:2506.00872, (2025).
      \n       PDF file<\/a><\/li>\n
    4. Piatnitski, A.; Sloushch, V.; Suslina, T.; Zhizhina, E.  Homogenization of non-symmetric convolution type operators.<\/em>. <\/span>, Preprint arXiv:2506.07176, (2025).
      \n       PDF file<\/a><\/li>\n
    5. Piatnitski, A.; Zhizhina, E.  Periodic homogenization of convolution type operators with heavy tails.<\/em>. <\/span>, Preprint arXiv:2504.08108, (2025).
      \n       PDF file<\/a><\/li>\n
    6. Piatnitski, A.; Sloushch, V.; Suslina, T.; Zhizhina, E.  Operator estimates in homogenization of L\u00e9vy-type operators with periodic coefficients.<\/em>. <\/span>, Preprint arXiv:2412.20408, (2024).
      \n       PDF file<\/a><\/li>\n
    7. Piatnitski, A.; Zhizhina, E.  High-contrast periodic random jumps in continuum and limit Markov process.<\/em>. <\/span>, Preprint arXiv:2402.06769, (2024).
      \n       PDF file<\/a><\/li>\n
    8. Piatnitski, A.; Rybalko, V.  Homogenization of nonlocal spectral problems.<\/em>. <\/span>, Preprint arXiv:2401.16576, (2024).
      \n       PDF file<\/a><\/li>\n
    9. Piatnitski, A.; Sloushch, V.; Suslina, T.; Zhizhina, E.  Homogenization of nonlocal convolution type operators: Approximation for the resolvent with corrector.<\/em>. <\/span>, Preprint arXiv:2311.16574, (2023).
      \n       PDF file<\/a><\/li>\n
    10. Borisov, D.; Piatnitski, A.; Zhizhina, E.  Non-local convolution type operators with potential: essential and infinite discrete spectrum.<\/em>. <\/span>, Preprint arXiv:2311.08906, (2023).
      \n       PDF file<\/a><\/li>\n
    11. Piatnitski, A.; Zhizhina, E.  Homogenization of non-autonomous evolution problems for convolution type operators in random media.<\/em>. <\/span>, Preprint arXiv:2307.13391, (2023).
      \n       PDF file<\/a><\/li>\n
    12. Huang, G.;   Kuksin, S.;   Piatnitski, A.;  Averaging for stochastic perturbations of integrable systems.<\/em>. <\/span>, Preprint arXiv:2307.07040, (2023).
      \n       PDF file<\/a><\/li>\n
    13. Piatnitski, A.; Zhizhina, E.  Homogenization of non-autonomous operators of convolution type in periodic media.<\/em>. <\/span>, Preprint arXiv:2302.11946, (2023).
      \n       PDF file<\/a><\/li>\n
    14. Kleptsyna, M.;  Piatnitski, A.; Popier, A.  Higher order homogenization for random non-autonomous parabolic operators<\/em>. <\/span>, Preprint arXiv:1612.07478, (2023).
      \n       PDF file<\/a><\/li>\n
    15. Piatnitski, A.;  Sloushch, V.; Suslina, T.; Zhizhina, E.  On operator estimates in homogenization of non-local operators of convolution type.<\/em> <\/span>, Preprint arXiv:2204.13771, (2022).
      \n       PDF file<\/a>
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    16. Piatnitski, A.;  Shamaev, A. Zhizhina, E.  Mathematical multi-scale model of water purification.<\/em> <\/span>, Preprint arXiv:2204.12220, (2022).
      \n       PDF file<\/a>
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    17. Borisov, D.;  Piatnitski, A.; Zhizhina, E.  On spectra of convolution operators with potentials<\/em>. <\/span>, Preprint arXiv:2201.04511, (2022).
      \n       PDF file<\/a><\/li>\n
    18. Kuksin, S.;  Nadirashvili, N.;  Piatnitski, A.; H\u00f6lder estimates for solutions of parabolic SPDEs. <\/em>, Preprint arXiv:2110.00951, (2021).
      \n       PDF file<\/a>
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    19. Amaziane, B.;  Piatnitski, A.; Zhizhina, E.  Homogenization of a diffusion in a high-contrast random environment and related Markov semigroups.<\/em> <\/span>, Preprint arXiv:2107.04901, (2021).
      \n       PDF file<\/a>
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    20. Alicandro, R.;  Ansini, N.;  Braides, A.;  Piatnitski, A.; Tribuzio, A.E.  A variational theory of convolution-type functionals.<\/em> <\/span>, Preprint arXiv:2007.03993, (2020).
      \n       PDF file<\/a>
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    21. Piatnitski, A.;  Pirogov, S.;  Zhizhina, E.  Large Deviations for Markov jump processes in periodic and locally periodic environments.<\/em> <\/span>, Preprint arXiv:2006.11128, (2020).
      \n       PDF file<\/a>
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    22. Braides, A.;  Piatnitski, A.  Homogenization of ferromagnetic energies on Poisson random sets in the plane.<\/em> <\/span>, Preprint arXiv:2001.08919, (2020).
      \n       PDF file<\/a>
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    23. Braides, A.;  Piatnitski, A.  Homogenization of quadratic convolution energies in periodically perforated domains.<\/em> <\/span>, Preprint arXiv:1909.08713, (2019).
      \n       PDF file<\/a>
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    24. Braides, A.;  Piatnitski, A.  Homogenization of random convolution energies in heterogeneous and perforated domains.<\/em> <\/span>, Preprint arXiv:1909.06832, (2019).
      \n       PDF file<\/a>
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    25. Piatnitski, A.   Ptashnyk, M.; Homogenization of biomechanical models of plant tissues with randomly distributed cells.<\/em> <\/span>, Preprint arXiv:1909.04712, (2019).
      \n       PDF file<\/a>
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    26. Kondratiev, Yu.;  Piatnitski, A.;   Zhizhina, E.  Asymptotics of fundamental solutions for time fractional equations with convolution kernels.<\/em> <\/span>, Preprint arXiv:1907.08677, (2019).
      \n       PDF file<\/a>
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    27. Kleptsyna, M.;  Piatnitski, A.;   Popier, A.  On the fundamental solution of heat and stochastic heat equations.<\/em> <\/span>, Preprint arXiv:1906.07604, (2019). PDF file<\/a> <\/ins><\/li>\n
    28. Piatnitski, A.;   Zhizhina, E.  Stochastic homogenization of convolution type operators.<\/em> <\/span>, Preprint arXiv:1806.00995, (2018). PDF file<\/a>
      \n<\/ins><\/li>\n<\/ol>\n


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      Recent preprints Updated: January, 2026 Piatnitski, A.; Sloushch, V.; Suslina, T.; Zhizhina, E.  Homogenization of L\u00e9vy-type operators: operator estimates with correctors.. , Preprint arXiv:2601.06832, (2026). PDF file Cherdantsev, M.;  Piatnitski, A.; Velcic, I.  Homogenisation and spectral convergence of high-contrast convolution …<\/p>\n

      Recent Preprints<\/span> Read More »<\/a><\/p>\n","protected":false},"author":225,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-273","page","type-page","status-publish","hentry"],"featured_image_src":"","featured_image_src_square":false,"rbea_author_info":{"display_name":"Andrey Piatnitski","author_link":"https:\/\/blogg.uit.no\/api009\/author\/andrei-piatnitski\/"},"rbea_excerpt_info":"Recent preprints Updated: January, 2026 Piatnitski, A.; Sloushch, V.; Suslina, T.; Zhizhina, E.  Homogenization of L\u00e9vy-type operators: operator estimates with correctors.. , Preprint arXiv:2601.06832, (2026). PDF file Cherdantsev, M.;  Piatnitski, A.; Velcic, I.  Homogenisation and spectral convergence of high-contrast convolution …

      Recent Preprints<\/span> Read More »<\/a><\/p>","_links":{"self":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages\/273","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/users\/225"}],"replies":[{"embeddable":true,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/comments?post=273"}],"version-history":[{"count":46,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages\/273\/revisions"}],"predecessor-version":[{"id":721,"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/pages\/273\/revisions\/721"}],"wp:attachment":[{"href":"https:\/\/blogg.uit.no\/api009\/wp-json\/wp\/v2\/media?parent=273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}