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DTSTART;VALUE=DATE:20131002T171500
DTEND;VALUE=DATE:20131002T171500
UID:5677@agenda.unifr.ch
DESCRIPTION:During the last years it became quite popular to visualize complex (analytic)\nfunctions as images. The talk gives an introduction to ``phase plots''\n(or ``phase portraits''), which depict a function $f$ directly on its domain\nby color-coding the argument of $f$. Phase portraits are like fingerprints: though part of the information (the modulus) is neglected, meromorphic functions are (almost) uniquely\ndetermined by their phase plot -- and the first part of the lecture will explain how properties of a function can be recovered.\n\nIn the second part we investigate the phase plots of \nspecial functions and illustrate several known results (theorems of\nJentzsch and Szegö, universality of the Riemann zeta function).\n\nFinally we give a few examples which demonstrate that phase plots\nand related ``phase diagrams'' are useful tools for exploring complex\nfunctions in teaching and research.
SUMMARY:Elias Wegert (TU Bergakademie Freiberg): Visual Exploration of Complex Functions Using Phase Plots
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5677
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