3 papers
math.PR2001
Anisotropic Contact Process on Homogeneous Trees
Irene Hueter
The existence of a weak survival region is established for the anisotropic symmetric contact process on a homogeneous tree T_{2d} of degree 2d > 2: For parameter values in a certai…
math.PR2001
Formula for the Mean Square Displacement Exponent of the Self-Avoiding Walk in 3, 4 and All Dimensions
Irene Hueter
This paper proves the formula ν(d) =1 for d=1 and ν(d) = max(1/4 +1/d, 1/2) for d > 1 for the root mean square displacement exponent ν(d) of the self-avoiding walk (SAW) in Z^d, an…
math.PR2001
Proof of the Conjecture that the Planar Self-Avoiding Walk has Root Mean Square Displacement Exponent 3/4
Irene Hueter
This paper proves the long-standing open conjecture rooted in chemical physics (Flory (1949)) that the self-avoiding walk (SAW) in the square lattice has root mean square displacem…