Geodesic
On stability and the Łojasiewicz exponent at infinity of coercive polynomials
Kybernetika, Tome 55 (2019) no. 2, pp. 359-366.

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In this article we analyze the relationship between the growth and stability properties of coercive polynomials. For coercive polynomials we introduce the degree of stable coercivity which measures how stable the coercivity is with respect to small perturbations by other polynomials. We link the degree of stable coercivity to the Łojasiewicz exponent at infinity and we show an explicit relation between them.
DOI : 10.14736/kyb-2019-2-0359
Classification : 26C05
Keywords: coercivity; stability of coercivity; Lojasiewicz exponent at infinity 
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Bajbar, Tomáš; Behrends, Sönke. On stability and the Łojasiewicz exponent at infinity of coercive polynomials. Kybernetika, Tome 55 (2019) no. 2, pp. 359-366. doi : 10.14736/kyb-2019-2-0359. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-2-0359/

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