Finite-size left-passage probability in percolation
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Publication:690628
DOI10.1007/s10955-012-0573-zzbMath1254.82016arXiv1202.5476OpenAlexW3101548956MaRDI QIDQ690628
Anita K. Ponsaing, Yacine Ikhlef
Publication date: 28 November 2012
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.5476
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
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Cites Work
- Unnamed Item
- Universality in the 2D Ising model and conformal invariance of fermionic observables
- Proof of the Razumov-Stroganov conjecture
- Separation of variables for symplectic characters
- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Exact spin quantum Hall current between boundaries of a lattice strip
- Factorised solutions of Temperley-Lieb \(q\)KZ equations on a segment
- \(O(1)\) loop model with different boundary conditions and symmetry classes of alternating-sign matrices
- Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
- Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
- A percolation formula
- SLE martingales and the Virasoro algebra
- Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
- Loops, matchings and alternating-sign matrices
- Network models in class \(C\) on arbitrary graphs
- Combinatorial nature of the ground-state vector of the \(\mathrm{O}(1)\) loop model
- Critical percolation in finite geometries
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Discretely holomorphic parafermions and integrable loop models
- Boundary conditions for integrable quantum systems
- Inhomogeneous loop models with open boundaries