Abstract
In what follows, some of the seminal contributions of Thanassis (short version of Athanassios) Fokas are reviewed. The goal is to justify the characterization by Israel Gelfand that “Fokas is a rare example of a scientist of the style of Renaissance”. Gelfand’s statement reflects the fact that Thanassis’ career follows parallel academic paths involving Mathematics, Physics, Engineering, Biology and Medicine. In this talk, I will try to justify Gelfand’s characterization, utilizing my memories from the nearly half a century that I know Thanassis, as a collaborator and a close friend. I will focus my presentation on his fundamental scientific contributions. Additional achievements, including awards and prizes, can be easily found on the web.
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http://cosa.inn.demokritos.gr/28th-summer-school-dynamical-systems-and-complexity-program/
Fokas, A.S., Ablowitz, M.J.: The inverse scattering transform for the Benjamin-Ono equation-a pivot to multidimensional problems. Stud. Appl. Math. 68, 1 (1983)
Fokas, A.S., Ablowitz, M.J.: On the inverse scattering of the time dependent Schr\(\ddot{o}\)dinger equation and the associated KPI equation. Stud. Appl. Math. 69, 211 (1983)
Fokas, A.S.: Inverse scattering of first-order systems in the plane related to nonlinear multidimensional equations. Phys. Rev. Lett. 51, 3 (1983)
Fokas, A.S., Its, A.R., Kapaev, A.A., Yu Novokshenov, V., Painleve Transcendents: A Riemann-Hilbert Approach. AMS (2006)
Fokas, A.S., Its, A.R., Kitaev, A.V.: The isomonodromy approach to matrix models in 2D quantum gravity. Comm. Math. Phys. 147, 395 (1992)
Fokas, A.S.: Symmetries and integrability. Stud. Appl. Math. 77, 253 (1987)
Fokas, A.S.: A unified transform method for solving linear and certain nonlinear PDE’s. Proc. R. Soc. Lond. A. 453, 1411 (1997)
Fokas, A.S., Kaxiras, E.: Modern Mathematical Methods for Computational Sciences and Engineering. World Scientific (2022)
Fokas, A.S., Lenells, J.: A new approach to integrable evolution equations on the circle. Proc. R. Soc. A. 477, 20200605 (2021)
Fokas, A.S., Kastis, G.A.: Mathematical methods in PET and SPECT imaging. In: Scherzer, O. (ed.) Handbook of Mathematical Methods of Imaging. Springer (2015)
Fokas, A.S.: Electromagnetoencephalography for the three-shell model: distributed current in arbitrary, spherical and ellipsoidal geometries. J. R. Soc. Interface. 6, 479 (2009)
Dassios, G., Fokas, A.S.: Electroenchephalography and Magnetoencephalography: An Analytical-Numerical Approach. De Gruyter (2019)
Fokas, A.S., Lenells, J.: On the asymptotics to all orders of the Riemann zeta function and of a two-parameter generalization of the Riemann zeta function. Mem. Amer. Math. Soc. 275(1351). AMS (2022)
Fokas, A.S.: A novel approach to the Lindel\(\ddot{o}\)f hypothesis. Trans. Math. Appl. 3, 1 (2019)
Blanchet, L., Fokas, A.S.: Equations of motion of self-gravitating N-body systems in the first post-Minkowskian approximation. Phys. Rev. D. 98, 084005 (2018)
Fokas, A.S.: Integrable nonlinear evolution equations in three spatial dimensions. Proc. R. Soc. A. 478, 20220074 (2022)
Fokas, A.S., Dikaios, N., Yortsos, Y.C.: An algebraic formula, deep learning and a novel SEIR-type model for the COVID-19 pandemic (submitted)
Bountis, T., Fokas, A.S., Psarakis, E.Z.: Fractal analysis of tree paintings by Piet Mondrian. Int. J. Arts Technol. 10, 27 (2017)
Crowdy, D., Fokas, A.S.: Conformal mappings to a doubly connected polycircular arc domains. Proc. R. Soc. A. 463, 1885 (2007)
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Dassios, G. (2023). Athanassios S. Fokas: A Renaissance Scientist. In: Bountis, T., Vallianatos, F., Provata, A., Kugiumtzis, D., Kominis, Y. (eds) Chaos, Fractals and Complexity. COSA-Net 2022. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-031-37404-3_25
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