I'm not a 100% sure what's meant by advanced but if you mean getting deeper into the craft, for me it requires an inside (knowing the fundamentals at a deeper level) and outside (knowing more as it pertains to larger design theory) approach to get to anything near an advanced stage as as UX designer.
Some really great titles were published last year and one this year (#2) that I think addresses this topic and the inside/outside POV I'm referring to perfectly:
1) Prototyping, A Practitioner's Guide, Todd Zaki Warfel (inside-covers that tricky area where rubber has to meet road in the design process): http://rosenfeldmedia.com/books/prototyping/
2) Universal Principles of Design (2nd edition), William Lidwell, Kritina Holden, Jill Butler (outside-an indispensable reference guide/resource on design principles---across all design disciplines---that can be used to solve specific problems or achieve specific outcomes): http://j.mp/8Q9LPQ
3) Web Anatomy Interaction Design Framesworks that Work, Robert Hoekman (inside-discusses the process of how to apply the concept of design patterns to entire user flows for specific processes... signup, catalog browse, etc.), : http://j.mp/6qzJat
4) Content Strategy for the Web, Kristina Halvorson (inside-great book on the dirty secret part of much of the web/software work we do--approaches content as more than just words but how it to make it work for users and how to successfully manage it): http://j.mp/8i3fIT
Hope this helps. Anyone else?