Some Ashkenazim carry the mtDNA haplogroup W3a1a1. According to Mark Wade, W3a1a1 "emerged in the Ukraine around 8,500 years ago. One distinct branch, with the 16291 mutation, appeared around 1000 years ago and is today found only among Ashkenazi descendants." Its parent haplogroup, W3a1a, is found among non-Jews in Eastern Europe, East-Central Europe, and Northeastern Europe including Poland, Ukraine, Belarus, and Finland. W3a1a was present among the Yamnaya population that lived in the Sok river region of southwestern Russia circa 3300-2700 B.C.E. according to Extended Data Table 2 in the article "Massive migration from the steppe was a source for Indo-European languages in Europe" by Wolfgang Haak, Iosif Lazaridis, et al. in Nature 522(7555) (June 11, 2015): pages 207-211.
::
See more here: [http://www.thecid.com/w3.htm] with an image showing the migration patterns