A. Auger, Convergence results for the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>??</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-SA-ES using the theory of <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>??</mml:mi></mml:math>-irreducible Markov chains, Theoretical Computer Science, vol.334, issue.1-3, pp.35-69, 2005.
DOI : 10.1016/j.tcs.2004.11.017

R. Bergasse, Stratégies d'´ evolution dérandomisées, 2007.

H. Beyer and B. Sendhoff, Covariance Matrix Adaptation Revisited ??? The CMSA Evolution Strategy ???, Proceedings of PPSN, pp.123-132, 2008.
DOI : 10.1007/978-3-540-87700-4_13

A. Conn, K. Scheinberg, and L. Toint, Recent progress in unconstrained nonlinear optimization without derivatives, Mathematical Programming, vol.12, issue.1, 1997.
DOI : 10.1007/BF02614326

L. Devroye, L. Györfi, and G. Lugosi, A probabilistic Theory of Pattern Recognition, 1997.
DOI : 10.1007/978-1-4612-0711-5

S. Droste, T. Jansen, and I. Wegener, On the optimization of unimodal functions with the (1+1) evolutionary algorithm, Parallel Problem Solving from Nature -PPSN V, volume 1498 of Lecture Notes in Computer Science, pp.13-22, 1007.
DOI : 10.1007/BFb0056845

N. I. Gould, D. Orban, and P. L. Toint, CUTEr and SifDec, ACM Transactions on Mathematical Software, vol.29, issue.4, pp.373-394, 2003.
DOI : 10.1145/962437.962439

N. Hansen and A. Ostermeier, Completely Derandomized Self-Adaptation in Evolution Strategies, Evolutionary Computation, vol.9, issue.2, pp.159-195, 2001.
DOI : 10.1016/0004-3702(95)00124-7

A. Ostermeier, A. Gawelczyk, and N. Hansen, Step-size adaptation based on nonlocal use of selection information, Parallel Problem Solving from Nature PPSN III, pp.189-198, 1994.

H. Schwefel, Numerical Optimization of Computer Models, 1981.

T. Back, F. Hoffmeister, and H. Schewefel, A survey of evolution strategies, p.4600, 1991.

O. Teytaud, Conditionning, halting criteria and choosing lambda, EA07, 2007.
DOI : 10.1007/978-3-540-79305-2_17

URL : https://hal.archives-ouvertes.fr/inria-00173237

V. Vapnik and A. Chervonenkis, On the uniform convergence of relative frequencies of events to their probabilities, Theory of probability and its applications, pp.264-280, 1971.