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This article is cited in 1 scientific paper (total in 1 paper)
“Newton polyhedra” of distributions
B. Ya. Kazarnovskii
Scientific Technical Centre "Informregistr"
Abstract:
We consider systems of equations of the form $f_i(x)=0$, where the
$f_i(x)$ are the Fourier transforms of distributions with fixed compact supports, and show that the average density of roots of such systems is determined by the geometry of the convex hulls of the supports of the distributions as their product in the ring of convex bodies.
DOI:
https://doi.org/10.4213/im475
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English version:
Izvestiya: Mathematics, 2004, 68:2, 273–289
Bibliographic databases:
   
UDC:
512.7+514.172
MSC: 52B20, 32A15
Received: 30.05.2003
Citation:
B. Ya. Kazarnovskii, ““Newton polyhedra” of distributions”, Izv. RAN. Ser. Mat., 68:2 (2004), 53–70; Izv. Math., 68:2 (2004), 273–289
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/izv475https://doi.org/10.4213/im475 http://mi.mathnet.ru/eng/izv/v68/i2/p53
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This publication is cited in the following articles:
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Malajovich G., “On the Expected Number of Zeros of Nonlinear Equations”, Found. Comput. Math., 13:6 (2013), 867–884
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