Junior Dynamics Seminar – Chris Chalhoub

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Delocalisation and scaling limit for the disordered long-range Discrete Gaussian Chain Speaker: Chris Chalhoub Abstract: We study the effect of an external random field on the localisation / delocalisation of the long-range Discrete Gaussian Chain. We prove that the model is delocalised at every inverse temperature for any polynomial decay \alpha>3/2. We also provide a more detailed description of the delocalised phase by identifying the growth exponent and scaling limit of the height at the origin for any decay exponent \alpha>3/2. Getting here