| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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Articles
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| 1. |
S. A. Titarenko, “Cellular quantum billiards generating Boolean algebra representations”, Theoret. and Math. Phys., 224:2 (2025), 1437–1451     |
| 2. |
S. A. Titarenko, “Teoremy izometrii i kletochnosti v zadache “Uslyshat formu barabana””, Matematika i estestvennye nauki. Teoriya i praktika, Mezhvuz. sb. nauch. tr., 20, Izd-vo YaGTU, Yaroslavl, 2025, 37–47 |
| 3. |
S.A. Titarenko, “Byllyard dynamics as a source of Stone’s logic generalization”, 5-ya Mezhdunarodnaya konferentsiya "Integriruemye sistemy i nelineinaya dinamika (ISND-24)" (Yaroslavl, 7–11 oktyabrya 2024 g.), Yaroslavskii gosudarstvennyi universitet im. P.G. Demidova, Yaroslavl, 2024, 110-112 https://confhub.ru/file/event/8920/eid8920_attach_013502e7bfba23f28a94d40b5e4078dc7096cf83.pdf |
| 4. |
S. A. Titarenko, “Izospektralnost dlya laplasiana i bulevy algebry kvantovykh billiardov”, XIV Belorusskaya Matematicheskaya Konferentsiya k 65-letiyu Instituta matematiki NAN Belarusi (Minsk, 28 oktyabrya - 1 noyabrya 2024 g.), t.2, Minsk, Belaruskaya navuka, 220084 Minsk, ul. F.Skoriny, 40, 2024, 98-100 |
| 5. |
S. A. Titarenko, “Kletochnost kak neobkhodimoe uslovie spektralnoi zadachi dlya laplasiana «uslyshat formu barabana»”, Differentsialnye uravneniya i matematicheskoe modelirovanie., Mezhvuzovskii sbornik nauchnykh trudov (Ryazan, 19-22 maya 2022 g.), Mezhvuzovskii sbornik nauchnykh trudov, Vypusk 4, eds. Otv. redaktor S.S. Mamonov, Ryazanskii gosudarstvennyi universitet imeni S.A. Esenina, Ryazan, 2022, 103-107 https://elibrary.ru/item.asp?id=49296327&pff=1  |
| 6. |
S. A. Titarenko, “EDINSTVENNOST GEOMETRIChESKOI REALIZATsII SOBOLEVSKOGO IZOMORFIZMA V KVANTOVYKh BILLIARDAKh”, Mezhdunarodnaya konferentsiya po geometricheskomu analizu, posvyaschennaya
pamyati akademika Yu.G. Reshetnyaka, 23–29 oktyabrya 2022 g. : Tez. dokl. / Novosib. gos. un-t. — Novosibirsk : IPTs NGU, 2022. (Novosibirsk, Akademgorodok, 23–29 oktyabrya 2022 g.), eds. S. G. Basalaev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2022, 117-119 https://drive.google.com/file/d/1oJPDPIhEVAe9ifv_2YFCA0Nfj-goBhnq/view?usp=sharing |
| 7. |
S. A. Titarenko, “The Sunada theorem and the latest advances in the inverse problem of spectral geometry”, St. Petersburg Math. J., 8:3 (1997), 381–398   |
| 8. |
Yu.A. Melnikov, S.A. Titarenko, “Green’s function boundary element method for optimal shape design”, Engineering Analysis with Boundary Elements, 15:1 (1995), 1–10 (to appear) |
| 9. |
Yu.A. Melnikov, S.A. Titarenko, “A new approach to 2-D eigenvalue shape design”, Int. J. of Numerical Methods in Engineering, 36:12 (1993), 2017–2030 |
Proceedings
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| 10. |
S. A. Titarenko, “Algebry kvantovykh billiardov i teorema Stouna”, Materialy mezhdunarodnoi konferentsii “Algebra i matematicheskaya logika: teoriya i prilozheniya”, KFU, 2024 (Kazan, 27 iyunya–1 iyulya 2024 g.), Kazanskii (Privolzhskii) Federalnyi Universitet, Kazan, 2024, 217–221 |
| 11. |
S. A. Titarenko, “Reshenie spektralnoi zadachi «mozhno li uslyshat formu barabana»”, Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya - XXXIV (Voronezh, 3–9 maya 2023 g.), eds. V avt. redaktsii, Izdatelskii dom VGU, Voronezh, 2023, 378–380 |
Preprints
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| 12. |
S. A. Titarenko, Mozhno uslyshat formu pochti lyubogo barabana!, \href{http://www.mathsoc.spb.ru/preprint/2020/index.html.}, Sankt-Peterburgskoe Matematicheskoe Obschestvo, Sankt-Peterburg, 2020 , 11 pp., Reshenie zadachi M.Katsa |
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