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

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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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     author = {Wang, Wei-Min},
     title = {Supersymmetry, {Witten} complex and asymptotics for directional {Lyapunov} exponents in $\mathbf {Z}^d$},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {18},
     pages = {1--16},
     publisher = {Universit\'e de Nantes},
     year = {1999},
     doi = {10.5802/jedp.562},
     zbl = {01810591},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/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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