In this paper we give a new sufficient condition for a general stability of Kronecker coefficients, which we call it additive stability. It was motivated by a recent talk of J. Stembridge at the conference in honor of Richard P. Stanley's 70th birthday, and it is based on work of the author on discrete tomography along the years. The main contribution of this paper is the discovery of the connection between additivity of integer matrices and stability of Kronecker coefficients. Additivity, in our context, is a concept from discrete tomography. Its advantage is that it is very easy to produce lots of examples of additive matrices and therefore of new instances of stability properties. We also show that Stembridge's hypothesis and additivity are closely related, and prove that all stability properties of Kronecker coefficients discovered before fit into additive stability.

中文翻译：

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通过离散断层扫描确定克罗内克系数的稳定性

在本文中，我们为 Kronecker 系数的一般稳定性给出了一个新的充分条件，我们称之为加性稳定性。它的灵感来自 J. Stembridge 最近在纪念 Richard P. Stanley 70 岁生日的会议上的一次演讲，它基于作者多年来在离散断层扫描方面的工作。本文的主要贡献是发现了整数矩阵的可加性与克罗内克系数稳定性之间的联系。在我们的上下文中，可加性是离散断层扫描的一个概念。它的优点是很容易产生大量的加性矩阵的例子，因此产生稳定性特性的新例子。我们还表明 Stembridge 的假设和可加性密切相关，