Summary: Background: study of the ground states of
disordered systems (statistical physics) is re
lated to probabilistic analysis of optimiza
tion problems (computer science).
Define prob. dist. on configurations x by
ß T (x) = K T exp(\GammaH(x)=T ):
For T = 0 the dist. lives on the ground states
where H(x) is minimized.
ordered system: H(x) is simple function of x
and a few numerical parameters.
disordered system: H = H(x; `) for some ran
dom environment `.
3 different angles on ``ground states of a dis
(C.S.) Study average timecomplexity of some
algorithm for finding x(`) := arg minx H(x; `).
(Math.) Study dist. of H \Lambda (`) = minx H(x; `).
(Stat. Phys.) Study structure of typical
optimal configurations x(`).