DOI: 10.1007/bf00401737. Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings

Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings

10.1007/bf00401737

Crossref journal-article

Springer Science and Business Media LLC

Letters in Mathematical Physics (297)

Bibliography

Bessis, D., Mehta, M. L., & Moussa, P. (1982). Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings. Letters in Mathematical Physics, 6(2), 123â140.

Authors 3

D. Bessis (first)
M. L. Mehta (additional)
P. Moussa (additional)

References 11 Referenced 32

Barnsley, M., Bessis, D., and Moussa, P., J. Math. Phys. 20, 535 (1979). (10.1063/1.524121) / J. Math. Phys. by M. Barnsley (1979)
Szegö, G., Orthogonal Polynomials, American Mathematical Society Colloquium Publications, Vol. 23, 1939. (10.1090/coll/023)
Julia, G., J. Math. Pur. Appl. 4, 47 (1918). Myrberg, P.J., J. Math. Pur. Appl. 41, 339 (1962). / J. Math. Pur. Appl. by G. Julia (1918)
Collet, P. and Eckmann, J.P., ?Iterated Maps on the Interval as Dynamical System?, Progess in Physics, Vol. 1, Birkhäuser, 1980.
Misiurewicz, M., to appear in Publ. Math. IHES 53, see also lecture note at 1980 Les Houches Summer School. After this work was finished, we received a preprint by M.F. Barnsley, J.S. Geronimo, and A.N. Harrington, Georgia Institute of Technology, Atlanta (1981), in which a direct proof is given.
Akhiezer, N.I., The Classical Moment Problem, Oliver and Boyd, Edinburgh and London, 1965, p. 93. / The Classical Moment Problem by N.I. Akhiezer (1965)
Pandey, A., private communication.
Fatou, P., Bull. Soc. Math. France 47, 161 (1919); 48, 33 (1920); 48, 208 (1920). (10.24033/bsmf.998) / Bull. Soc. Math. France by P. Fatou (1919)
Feigenbaum, M., J. Stat. Phys. 19, 25 (1978). (10.1007/BF01020332) / J. Stat. Phys. by M. Feigenbaum (1978)
Baker, G.A. Jr, The Essentials of Padé Approximants, Academic Press, New York, 1978. / The Essentials of Padé Approximants by G.A. Baker Jr (1978)
Dias de Deus, J. and Taborda Duarte, J., CFMC Preprint, E 10-81, Instituto Nacional de Investigação Cientifica, Lisbon, Portugal.

Dates

Type	When
Created	20 years, 10 months ago (Oct. 20, 2004, 1:12 p.m.)
Deposited	5 years, 4 months ago (April 3, 2020, 7:34 a.m.)
Indexed	1 month, 3 weeks ago (July 4, 2025, 9:24 a.m.)
Issued	43 years, 5 months ago (March 1, 1982)
Published	43 years, 5 months ago (March 1, 1982)
Published Print	43 years, 5 months ago (March 1, 1982)

Funders 0

None

BibTeX

@article{Bessis_1982, title={Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings}, volume={6}, ISSN={1573-0530}, url={http://dx.doi.org/10.1007/bf00401737}, DOI={10.1007/bf00401737}, number={2}, journal={Letters in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Bessis, D. and Mehta, M. L. and Moussa, P.}, year={1982}, month=mar, pages={123–140} }

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