Fast Fourier Transforms for the Rook Monoid

We define the notion of the Fourier transform for the rook monoid (also called the symmetric inverse semigroup) and provide two efficient divide-and-conquer algorithms (fast Fourier transforms, or FFTs) for computing it. This paper marks the first extension of group FFTs to non-group semigroups

Supplementary Figure Legend from GITR Pathway Activation Abrogates Tumor Immune Suppression through Loss of Regulatory T-cell Lineage Stability

PDF file - 48K</p

Supplementary Figure 2 from GITR Pathway Activation Abrogates Tumor Immune Suppression through Loss of Regulatory T-cell Lineage Stability

PDF file - 84K, Percentage of CD4+Foxp3+ Tregs in IgG vs DTA-1 treated tumors</p

Supplementary Figure 1 from GITR Pathway Activation Abrogates Tumor Immune Suppression through Loss of Regulatory T-cell Lineage Stability

PDF file - 143K, Foxp3 loss in Tregs is tumor and DTA-1 dose dependent</p