的mmax-Mecl关系，IMF和IGIMF：概率抽样函数？
The mmax-Mecl relation, the IMF and IGIMF: probabilistically sampled functions?
摘要：
我们介绍了一种新的方法来测量星团的mmax值的分散性，并表明所观察到的mmax的样本是不一致的随机抽样从一个通用的恒星初始质量函数（IMF）在99.9%的置信水平。在mmax-Mecl数据中看到的分散主要（76%）可以理解为仅是观测不确定性的结果。在给定Mecl下的mmax值的分散与大多数测量不确定性一致，使得真实（物理）分散可能非常小。此外，关于金牛座-御夫座和猎户座L1641恒星形成区域的新数据表明，随机形成的恒星星族不太可能。然而，这些数据是一致的本地IGIMF（综合银河系恒星初始质量函数）的理论，根据该理论，一个恒星星族是一个单独的恒星形成事件的总和，其中每一个都是由定义良好的物理定律。随机采样的IMF和此后的无标度恒星形成似乎与观察到的现实相矛盾。
英文摘要：
We introduce a new method to measure the dispersion of mmax values of star clusters and show that the observed sample of mmax is inconsistent with random sampling from an universal stellar initial mass function (IMF) at a 99.9% confidence level. The scatter seen in the mmax-Mecl data can be mainly (76%) understood as being the result of observational uncertainties only. The scatter of mmax values at a given Mecl are consistent with mostly measurement uncertainties such that the true (physical) scatter may be very small. Additionally, new data on the local star-formation regions Taurus-Auriga and L1641 in Orion make stochastically formed stellar populations rather unlikely. The data are however consistent with the local IGIMF (integrated galactic stellar initial mass function) theory according to which a stellar population is a sum of individual star-forming events each of which is described by well defined physical laws. Randomly sampled IMFs and henceforth scale-free star formation seems to be in contradiction to observed reality.
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