Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in 𝐙 d
Journées équations aux dérivées partielles (1999), article no. 18, 16 p.

By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.

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     title = {Supersymmetry, {Witten} complex and asymptotics for directional {Lyapunov} exponents in $\mathbf {Z}^d$},
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     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
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     doi = {10.5802/jedp.562},
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Wang, Wei-Min. Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in $\mathbf {Z}^d$. Journées équations aux dérivées partielles (1999), article  no. 18, 16 p.. doi: 10.5802/jedp.562

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