Williams talks about Mars authors, and tells us her favorite is Ray Bradbury.
I liked all of these, which is unusual, so I will just connect you to the TOC.
My very favorite, though, was "Hotel" by Suzanne Palmer, and I see that Williams liked it enough to let you read the beginning of it.
The cover is really gorgeous and is a Whelan Mars, although it's not directly related to the story.
(I have three more books to talk about, but I still have those at home, the Asimov's is going to bookgroup tomorrow.)