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Large deviations and wandering exponent for random walk in a dynamic beta environment. (arXiv:1801.08070v2 [math.PR] UPDATED)
来源于:arXiv
Random walk in a dynamic i.i.d. beta random environment, conditioned to
escape at an atypical velocity, converges to a Doob transform of the original
walk. The Doob-transformed environment is correlated in time, i.i.d. in space,
and its marginal density function is a product of a beta density and a
hypergeometric function. Under its averaged distribution the transformed walk
obeys the wandering exponent 2/3 that agrees with Kardar-Parisi-Zhang
universality. The harmonic function in the Doob transform comes from a
Busemann-type limit and appears as an extremal in a variational problem for the
quenched large deviation rate function. 查看全文>>