Scaled Dimension and Nonuniform Complexity

Resource-bounded dimension is a complexity-theoretic extension of classical Hausdorff dimension introduced by Lutz (2000) in order to investigate the fractal structure of sets that have resource-bounded measure 0. For example, while it has long been known that the Boolean circuit-size complexity class SIZE α2n n has measure 0 in ESPACE for all 0 ≤ α ≤ 1, we now know that SIZE α2n

• Type: Conference
• Year: 2003
• Where: ICALP
• Authors: John M. Hitchcock, Jack H. Lutz, Elvira Mayordomo
• Keywords: Classical Hausdorff Dimension, ICALP 2003, Resource-bounded Dimension, Resource-bounded Measure, Theoretical Computer Science