Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model

zbMath1405.60070arXiv1710.02308MaRDI QIDQ4612241

Silke W. W. Rolles, Franz Merkl, Margherita Disertori

Publication date: 22 January 2019

Full work available at URL: https://arxiv.org/abs/1710.02308

zbMATH Keywords

martingalecouplingnonlinear hyperbolic supersymmetric sigma model

Mathematics Subject Classification ID

Random fields (60G60) Martingales with discrete parameter (60G42) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (2)

Unnamed Item ⋮ A note on recurrence of the vertex reinforced jump process and fractional moments localization

Cites Work

• Unnamed Item
• Anderson localization for a supersymmetric sigma model
• Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
• The vertex reinforced jump process and a random Schrödinger operator on finite graphs
• Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
• Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process
• Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
• The global renormalization group trajectory in a critical supersymmetric field theory on the lattice \(\mathbb Z^{3}\)
• Fourier analysis on a hyperbolic supermanifold with constant curvature
• Vertex-reinforced jump processes on trees and finite graphs
• Continuous time vertex-reinforced jump processes
• Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process
• A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs
• A supersymmetric approach to martingales related to the vertex-reinforced jump process

This page was built for publication: Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model