Geodesic
Saga of the Painlev\'e Problem and Analytic Capacity
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 157-164.

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This note consists of two sections. The first one gives an account of an intriguing and dramatic story of solving (not completely) the so-called Painlevé problem that consists in describing the set of removable singularities for bounded holomorphic functions. In view of this, I indulge in proposing some reminiscences about bygone events. The second section gives yet another elementary proof of the Denjoy conjecture, which is a part of the Painlevé problem. 
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M. S. Mel'nikov. Saga of the Painlev\'e Problem and Analytic Capacity. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 157-164. http://geodesic.mathdoc.fr/item/TM_2001_235_a10/

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