Publication: Lingering random walks in random environment on a strip
Lingering random walks in random environment on a strip
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Bolthausen, E., & Goldsheid, I. (2008). Lingering random walks in random environment on a strip. Communications in Mathematical Physics, 278(1), 253–288. https://doi.org/10.1007/s00220-007-0390-4
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We consider a recurrent random walk (RW) in random environment (RE) on a strip. We prove that if the RE is i. i. d. and its distribution is not supported by an algebraic subsurface in the space of parameters defining the RE then the RW exhibits the (log t)2 asymptotic behaviour. The exceptional algebraic subsurface is described by an explicit system of algebraic equations. One-dimensional walks with bounded jumps in a RE are treated as a particular case of the strip model. If the one dimensional RE is i. i. d., then our approach leads
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- Bolthausen, E
- Goldsheid, I
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Bolthausen, E., & Goldsheid, I. (2008). Lingering random walks in random environment on a strip. Communications in Mathematical Physics, 278(1), 253–288. https://doi.org/10.1007/s00220-007-0390-4
