Nonlinear functionals of the discrete GFF with degenerate random conductances on ergodic random subgraphs converge almost surely to continuum counterparts in H^{-s}(D).
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In the semi-discrete parabolic Anderson model at high temperature, the partition function admits positive a.s. limits at infinite time and a factorization formula valid up to sub-ballistic scales.
Uniqueness of global positive time-stationary subexponentially growing solutions to the semidiscrete stochastic heat equation on Z^d (d≥3) with small coupling, via factorization of the point-to-point partition function in the associated polymer model.
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Scaling limits for nonlinear functionals of the discrete Gaussian free field with degenerate random conductances
Nonlinear functionals of the discrete GFF with degenerate random conductances on ergodic random subgraphs converge almost surely to continuum counterparts in H^{-s}(D).
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A factorization formula for the partition function in the semi-discrete parabolic Anderson model
In the semi-discrete parabolic Anderson model at high temperature, the partition function admits positive a.s. limits at infinite time and a factorization formula valid up to sub-ballistic scales.
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On global solutions to the semidiscrete stochastic heat equation
Uniqueness of global positive time-stationary subexponentially growing solutions to the semidiscrete stochastic heat equation on Z^d (d≥3) with small coupling, via factorization of the point-to-point partition function in the associated polymer model.