Ultrametric and p-adic analysis and applications in physics and biology, quantum probability and applications in physics, stochastic limit of quantum theory.
Main publications:
S.V. Kozyrev, Methods and applications of ultrametric and $p$-adic analysis: from wavelet theory to biophysics, Sovrem. Probl. Mat., 12, Steklov Math. Inst., RAS, Moscow, 2008
S.V. Kozyrev, “Wavelet theory as $p$-adic spectral analysis”, Izv. Math., 66:2 (2002), 367–376, arXiv: math-ph/0012019
V.A. Avetisov, A.H. Bikulov, S.V. Kozyrev, “Application of p-adic analysis to models of spontaneous breaking of replica symmetry”, J. Phys. A: Math. Gen., 32:50 (1999), 8785–8791, arXiv: cond-mat/9904360
S.V. Kozyrev, I.V. Volovich, “The Arrhenius formula in kinetic theory and Witten's spectral asymptotics”, J. Phys. A: Math. Theor., 44 (2011), 215202, 10 pp., arXiv: 1008.4487
L. Accardi, S.V. Kozyrev, I.V. Volovich, “Dynamics of dissipative two-level system in the stochastic approximation”, Phys. Rev. A, 56:4 (1997), 2557–2562, arXiv: quant-ph/9706021
