What is "Western Sufism"?

Sufism has a long and rich history, mostly in the Middle East. It is also found in the West, however, and Western Sufism has its own history and characteristics, just as (say) Indonesian Sufism does. What is sometimes called "neo-Sufism" is part of Western Sufism. The term "neo-Sufism" is problematic, however, partly because it is also sometimes used to denote an eighteenth- and nineteenth-century Middle Eastern phenomenon, and also because the prefix "neo-" carries all sorts of implications, mostly negative, some inappropriate or even wrong, and only some appropriate.