@article {1911.03135, archivePrefix = {arXiv}, eprint = {1911.03135}, primaryClass = {math.PR}, author = {Arvind Ayyer and Shubham Sinha}, title = {The size of $t$-cores and hook lengths of random cells in random partitions}, year = {2019}, url = {http://arxiv.org/abs/1911.03135} }