Gaussian double Markovian models consist of covariance matrices constrained by a pair of graphs specifying zeros simultaneously in the covariance matrix and its inverse. We study the semi-algebraic geometry of these models, in particular their dimension, smoothness and connectedness as well as algebraic and combinatorial properties.

翻译：Gausian 双倍马尔科维安模型由共变矩阵组成,受一对图表的限制,这些图表同时在共变矩阵及其反向中指定零。我们研究这些模型的半代数几何,特别是其尺寸、平滑度和连接性,以及代数和组合特性。