Proves that Ornstein-Zernike solutions for random walks, self-avoiding walks in d≥5, and percolation in d≥15 asymptotically match the Green function of drifted Brownian motion multiplied by an anisotropic exponentially decaying factor.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Crossover from subcritical to critical decay: random walk, self-avoiding walk, percolation
Proves that Ornstein-Zernike solutions for random walks, self-avoiding walks in d≥5, and percolation in d≥15 asymptotically match the Green function of drifted Brownian motion multiplied by an anisotropic exponentially decaying factor.