Abstract
We present a brief review of the scientific work and achievements of Igor V. Volovich on the occasion of his 65th birthday.
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References
V. S. Vladimirov, I. V. Volovich and E. I. Zelenov, p-Adic Analysis and Mathematical Physics (World Scientific, Singapore, 1994).
L. Accardi, Yu. G. Lu and I. V. Volovich, Quantum Theory and Its Stochastic Limit (Springer-Verlag, 2002).
M. Ohya and I. Volovich, Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-Systems (Springer, Dordrecht, 2011).
I. V. Volovich, “p-Adic string,” Class. Quant. Grav. 4, L83–L87 (1987).
I. V. Volovich, “Number theory as the ultimate physical theory,” p-Adic Numb. Ultr. Anal. Appl. 2(1), 77–87 (2010).
B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev and I. V. Volovich, “On p-adicmathematical physics,” p-Adic Numb. Ultr.Anal. Appl. 1(1), 1–17 (2009).
I.V. Volovich, “Randomness in classicalmechanics and quantum mechanics,” Found. Phys. 41(3), 516–528 (2011).
I. V. Volovich, “Bogoliubov equations and functional mechanics,” Theor. Math. Phys. 164(3), 1128–1135 (2010).
A. S. Trushechkin and I. V. Volovich, “Functional classicalmechanics and rational numbers,” p-Adic Numb. Ultr. Anal. Appl. 1(4), 361–367 (2009).
A. N. Pechen, I. V. Volovich, “Quantum multipole noise and generalized quantum stochastic equations,” Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5(4), 441–464 (2002).
V. S. Vladimirov and I. V. Volovich, “Superanalysis. I. Differential calculus,” Theor. Math. Phys. 59(1), 317–335 (1984); “Superanalysis. II. Integral calculus,” Theor. Math. Phys. 60 (2), 743–765 (1985).
V. S. Vladimirov and I. V. Volovich, “TheWiener-Hopf equation, the Riemann-Hilbert problem and orthogonal polynomials,” Sov. Math. Dokl. 26, 415–419 (1982).
I. Ya. Aref’eva, B. G. Dragovic and I.V. Volovich, “Extra time-like dimensions lead to a vanishing cosmological constant,” Phys. Lett. B 177,3–4, 357–360 (1986).
I. Ya. Aref’eva, B. Dragovich, P. H. Frampton and I. V. Volovich, “The wave function of the universe and p-adic gravity,” Int. J. Mod. Phys. A 6(24), 4341–4358 (1991).
M. Ohya and I. V. Volovich, “New quantum algorithm for studying NP-complete problems,” Rep. Math. Phys. 52(1), 25–33 (2003).
I. Volovich, “Quantum cryptography in space and Bell’s theorem, Foundations of probability and physics,” QP-PQ: Quantum Probab.White Noise Anal. 13, 364–372 (World Sci. Publ., River Edge, NJ, 2001).
A. Khrennikov and I. Volovich, “Local realism, contextualism and loopholes in Bell’s experiments,” Foundations of Probability and Physics 2 (Växjö, 2002); Math. Model. Phys. Eng. Cogn. Sci. 5, 325–343 (Växjö Univ. Press, Växjö, 2003).
V.V. Kozlov and I.V. Volovich, “Finite action Klein-Gordon solutions on Lorentzianmanifolds,” Int. J. Geom. Methods Mod. Phys. 3(7), 1349–1357 (2006).
M.O. Katanaev and I. V. Volovich, “Theory of defects in solids and three-dimensional gravity,” Ann. Physics 216(1), 1–28 (1992).
I. Ya. Aref’eva, K. S. Viswanathan and I. V. Volovich, “Planckian-energy scattering, colliding plane gravitational waves and black hole creation,” Nuclear Phys. B 452(1–2), 346–366 (1995).
A. Borowiec, M. Francaviglia and I. Volovich, “Topology change and signature change in non-linear firstorder gravity,” Int. J. Geom. Methods Mod. Phys. 4(4), 647–667 (2007).
S. V. Kozyrev and I. V. Volovich, “The Arrhenius formula in kinetic theory andWitten’s spectral asymptotics,” J. Phys. A: Math. Gen. 44(21), 215–202 (2011).
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Accardi, L., Dragovich, B., Katanaev, M.O. et al. Igor V. Volovich. P-Adic Num Ultrametr Anal Appl 4, 1–4 (2012). https://doi.org/10.1134/S2070046612010013
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DOI: https://doi.org/10.1134/S2070046612010013