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首页> 外文期刊>Journal of complexity >Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems
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Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems

机译：Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems

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摘要

We establish the Central Limit Theorem, as the degree goes to infinity, for the normalized volume of the zero set of a rectangular Kostlan-Shub-Smale random polynomial system. This paper is a continuation of Central Limit Theorem for the number of real roots of Kostlan-Shub-Smale random polynomial systems by the same authors in which the case of square systems was considered. Our main tools are Kac-Rice formula and an expansion of the volume of the level set into the Ito-Wiener Chaos. (C) 2022 Elsevier Inc. All rights reserved.

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