Critical exponents of correlated percolation of sites not visited by a
random walk
Critical exponents of correlated percolation of sites not visited by a
random walk
We consider a $d$-dimensional correlated percolation problem of sites {\em not} visited by a random walk on a hypercubic lattice $L^d$ for $d=3$, 4 and 5. The length of the random walk is ${\cal N}=uL^d$. Close to the critical value $u=u_c$, many geometrical properties of the problem can be described …