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Disorder Thresholds and Free Energy of Brownian Directed Polymers with Product and Radial Spatial Correlations
We study a Brownian directed polymer in a centered Gaussian environment that is white in time and colored in space having long-range spatial correlations. For product-type covariances \(Q(x)\asymp\prod_{j=1}^d(1+|x_j|)^{-α_j}\), with \(α_j\in(0,1)\) and \(κ=\sum_jα_j\), we identify the disorder tran
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