Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation
From MaRDI portal
Publication:2431517
DOI10.1214/10-AOP557zbMath1228.60108arXiv1002.0875OpenAlexW3103821374MaRDI QIDQ2431517
Publication date: 15 April 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.0875
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43)
Related Items
The survival probability and \(r\)-point functions in high dimensions, On the range of lattice models in high dimensions, Long-range self-avoiding walk converges to \(\alpha\)-stable processes, Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension, Critical two-point function for long-range models with power-law couplings: the marginal case for \({d\ge d_{\mathrm{c}}}\), Hyperscaling for oriented percolation in \(1+1\) space-time dimensions, Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees, Critical two-point functions for long-range statistical-mechanical models in high dimensions, Hamiltonian walks on the Sierpinski gasket
Cites Work
- Unnamed Item
- Long-range self-avoiding walk converges to \(\alpha\)-stable processes
- Critical behavior and the limit distribution for long-range oriented percolation. II: Spatial correlation
- Critical behavior and the limit distribution for long-range oriented percolation. I
- Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk
- Gaussian limit for critical oriented percolation in high dimensions.
- A generalised inductive approach to the lace expansion
- The lace expansion and its application. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004.
- Singularity Analysis of Generating Functions
- Inequalities with applications to percolation and reliability
- Large-time asymptotics of the gyration radius for long-range statistical-mechanical models
