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                  <text>Lanford, Oscar Erasmus III</text>
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                  <text>Les prépublications d'Oscar E. Lanford III sont des travaux scientifiques datés entre 1972 et 1991 et témoignent de l’interdisciplinarité et des collaborations entre professeurs et chercheurs invités.</text>
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                <text>On Gradient curves of an analytic function near a critical point</text>
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                <text>René Thom [T] conjectured that a gradient curve x(t) of an analytic function on Rn, wich descends to the critical point x(?) = 0 ? Rn, called a path, has there a tangent. We prove this in case n = 3 for standard paths and standard functions. &#13;
For the remaining, rare paths and rare functions we reduce the conjecture for irreductible ? to an evident conjecture and give some arguments in favour of CRT for reductible ?. We did not succeed in elaborating these arguments to a complete proof that covers all cases.</text>
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                <text>1991</text>
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