Mathtmatical models of hierarchical systems and p-adic analisys.
Main publications:
Bikulov A. Kh., Zubarev A. P., Kaidalova L. V. Ierarkhicheskaya dinamicheskaya model finansovogo rynka vblizi tochki obvala i p-adicheskii matematicheskii analiz, Vestnik SamGTU, Vyp. 42, 2006, s. 135.
Zubarev A. P., Kharkovskii S. I. Ultrametricheskaya model rasprostraneniya mneniya v ierarkhicheski organizovannoi sotsialnoi sisteme i p-adicheskii analiz. Trudy Vserosiiskoi nauchno-metodicheskoi konferentsii "Estestvenno-nauchnoe obrazovanie v vuze: problemy i perspektivy". Samara 2006.
A. Kh. Bikulov, A. P. Zubarev, “New Bases in the Space of Square Integrable Functions on the Field of $p$-Adic Numbers and Their Applications”, Trudy Mat. Inst. Steklova, 306 (2019), 28–40; Proc. Steklov Inst. Math., 306 (2019), 20–32
2016
2.
A. Kh. Bikulov, A. P. Zubarev, “Complete systems of eigenfunctions of the Vladimirov operator in $L^{2}(B_r)$ and $L^{2}(\mathbb{Q}_{p})$”, Fundam. Prikl. Mat., 21:3 (2016), 39–56; J. Math. Sci., 237:3 (2019), 362–374
V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev, “Ultrametric random walk and dynamics of protein molecules”, Trudy Mat. Inst. Steklova, 285 (2014), 9–32; Proc. Steklov Inst. Math., 285 (2014), 3–25
V. T. Volov, A. P. Zubarev, “The ultrametrical dynamics for the closed fractal-cluster resource models”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 343–351
5.
V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev, “Ultrametricity as a basis for organization of protein molecules: CO binding to myoglobin”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 315–325
V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev, “Mathematical Modeling of Molecular “nano-machines””, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 9–15
A. Kh. Bikulov, A. P. Zubarev, L. V. Kaidalova, “Hierarchical dynamical model of financial market near the crash point and $p$-adic mathematical analysis”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 42 (2006), 135–140
A. P. Zubarev, “Two-dimensional gravitation. The Lioville theory and noncritical string theory”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4 (1996), 93–101
1989
9.
A. P. Zubarev, “Free field action of the Ramond string and general procedure for quantizing gauge theories with an open algebra”, TMF, 79:1 (1989), 155–159; Theoret. and Math. Phys., 79:1 (1989), 451–454
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