摘要

考虑$\mathrm{<trans\; data-src="\beta ">\beta </trans>}$-雅各比壁龛上的合奏

带参数${\mathrm{<trans\; data-src="k">k个</trans>}}_{\mathrm{<trans\; data-src="1">1</trans>}}<trans\; data-src=",">,</trans>{\mathrm{<trans\; data-src="k">k个</trans>}}_{\mathrm{<trans\; data-src="2">2</trans>}}<trans\; data-src=",">,</trans>{\mathrm{<trans\; data-src="k">k个</trans>}}_{\mathrm{<trans\; data-src="3">三</trans>}}<trans\; data-src="\ge ">\ge </trans>\mathrm{<trans\; data-src="0">0</trans>}$.在冷冻情况下$<trans\; data-src="(">(</trans>{\mathrm{<trans\; data-src="k">k个</trans>}}_{\mathrm{<trans\; data-src="1">1</trans>}}<trans\; data-src=",">,</trans>{\mathrm{<trans\; data-src="k">k个</trans>}}_{\mathrm{<trans\; data-src="2">2</trans>}}<trans\; data-src=",">,</trans>{\mathrm{<trans\; data-src="k">k个</trans>}}_{\mathrm{<trans\; data-src="3">三</trans>}}<trans\; data-src=")">)</trans><trans\; data-src="=">=</trans>\mathrm{<trans\; data-src="\kappa ">\kappa </trans>}<trans\; data-src="\cdot ">\cdot </trans><trans\; data-src="(">(</trans>\mathrm{<trans\; data-src="a">一</trans>}<trans\; data-src=",">,</trans>\mathrm{<trans\; data-src="b">b条</trans>}<trans\; data-src=",">,</trans>\mathrm{<trans\; data-src="1">1</trans>}<trans\; data-src=")">)</trans>$具有$\mathrm{<trans\; data-src="a">一</trans>}<trans\; data-src=",">,</trans>\mathrm{<trans\; data-src="b">b条</trans>}<trans\; data-src=">">></trans>\mathrm{<trans\; data-src="0">0</trans>}$固定的，固定的和$\mathrm{<trans\; data-src="\kappa ">\kappa </trans>}<trans\; data-src="\to ">\to </trans>\mathrm{<trans\; data-src="\infty ">\infty </trans>}$，我们导出一个中心极限定理。极限的漂移和协方差矩阵被表示通过经典雅可比多项式的零点。我们还确定了特征值和协方差矩阵的特征向量。我们的结果与$\mathrm{<trans\; data-src="\beta ">\beta </trans>}$-赫密特和拉盖尔合奏$\mathrm{<trans\; data-src="\beta ">\beta </trans>}<trans\; data-src="\to ">\to </trans>\mathrm{<trans\; data-src="\infty ">\infty </trans>}$.

关键词

数学学科分类

里程碑

作者