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Sample path large deviations and scaling limits for weakly pinned integrated random walks

Mathematical Physics & Probability

Speaker: Stefan Adams, University of Warwick
Location: 1147 MSB
Start time: Wed, Sep 16 2015, 4:10PM

We study scaling limits and the corresponding large deviation principle of the integrated random walk perturbed by an attractive force toward the origin. In particular we analyse the critical situation that the rate function admits more than one minimiser leading to concentration of measure problems. The integrated random represents interface models with Laplacian interaction for effective interface models (polymers).