arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2108.05656math-phmath.MPmath.PR
收藏

星座综合与星座插值

Constellation Ensembles and Interpolation in Ensemble Averages

Elisha D. Wolff

摘要:

我们介绍星座合奏,其中一条线(或圆)上的带电粒子与平行线(或同心圆)上的带电粒子相连。我们提出的配分函数的这些合奏的Hyperpfestrian或Berezin积分的一个适当的交替张量的条款的公式。调整这些线(或圆)之间的距离给出了一对极限系综之间的插值,例如具有$β=K$和$β=K^2$的一维$β$系综。

英文摘要:

We introduce constellation ensembles, in which charged particles on a line (or circle) are linked with charged particles on parallel lines (or concentric circles). We present formulas for the partition functions of these ensembles in terms of either the Hyperpfaffian or the Berezin integral of an appropriate alternating tensor. Adjusting the distances between these lines (or circles) gives an interpolation between a pair of limiting ensembles, such as one-dimensional $β$-ensembles with $β=K$ and $β=K^2$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑