Finite clusters:
+ Prove connected; enumerate combinatorics; prove unique minimum for each combinatorial type with restrictions.
Applies to finite or periodic or on sphere.
"connected" means "each region connected". "restrictions" are necessary because a circular chain of bubbles, enclosing a bubble of negative pressure, is floppy.
"connected" means "each region connected". "restrictions" are necessary because a circular chain of bubbles, enclosing a bubble of negative pressure, is floppy.
ReplyDelete