scientific article; zbMATH DE number 7565954
From MaRDI portal
Publication:5094001
Publication date: 2 August 2022
Full work available at URL: https://arxiv.org/abs/2101.04717
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laplace methodrandom walkmodified Bessel functionlattice Green functionmassive lattice propagatorOrstein-Zernike decayresolvent of discrete Laplacian
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Critical phenomena in equilibrium statistical mechanics (82B27) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items
The near-critical two-point function and the torus plateau for weakly self-avoiding walk in high dimensions ⋮ High-dimensional near-critical percolation and the torus plateau
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian fluctuations of connectivities in the subcritical regime of percolation
- 70+ years of the Watson integrals
- Fluctuation theory of connectivities for subcritical random cluster models
- Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.
- Non-analyticity of the correlation length in systems with exponentially decaying interactions
- Correct bounds on the Ising lace-expansion coefficients
- Lace expansion for the Ising model
- Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals
- The lace expansion and its application. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004.
- Asymptotic expansions of Fourier transforms and discrete polyharmonic Green's functions
- Random Walk: A Modern Introduction
- Lattice Green's functions in all dimensions
- Green's Functions for Random Walks on ZN
- The <scp>Continuous‐Time</scp> Lace Expansion
- Unwrapped two-point functions on high-dimensional tori
- Classical Fourier Analysis
- The Monotonicity of Modified Bessel Functions with Respect to Their Order
- THREE TRIPLE INTEGRALS