Titlebook: Probability and Analysis in Interacting Physical Systems; In Honor of S.R.S. V Peter Friz,Wolfgang K?nig,Stefano Olla Conference proceeding

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Multiscale Systems, Homogenization, and Rough Paths,ns. In contrast to more classical approaches, the assumptions on the fast flow are very mild. We survey the origins of this theory and then revisit and improve the analysis of Kelly-Melbourne [Ann. Probab. Volume 44, Number 1 (2016), 479–520], taking into account recent progress in .-variation and c

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Quenched Central Limit Theorem for the Stochastic Heat Equation in Weak Disorder,normalized) Feynman-Kac solution describes the partition function of the continuous directed polymer. This partition function defines a (quenched) polymer path measure for every realization of the noise and we prove that as long as . stays small enough, the distribution of the diffusively rescaled B

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On the Growth of a Superlinear Preferential Attachment Scheme,ility proportional to a superlinear function of its degree. For such schemes, it is known that the graph evolution condenses, that is a.s. in the limit graph there will be a single random node with infinite degree, while all others have finite degree. In this note, we establish a.s. law of large num

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Ilya Chevyrev,Peter K. Friz,Alexey Korepanov,Ian Melbourne,Huilin Zhang sustainable and balanced spatial development, the reduction of interregional differences in the level and quality of life, accelerating economic growth and technological development, national security. As for urban and rural areas, a whole package of constructive events is offered to ensure the red

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