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Large scale behavior of semiflexible heteropolymers

Francesco CaravennaGiambattista GiacominMassimiliano Gubinelli — 2010

Annales de l'I.H.P. Probabilités et statistiques

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the ) are modeled in terms of random rotations. We focus on the regime, i.e., the analysis is performed for a given realization of the disorder. Semiflexible models differ substantially from random walks on short scales, but on large scales a brownian behavior emerges. By exploiting techniques from tensor analysis and non-commutative Fourier analysis,...

On the regularity of stochastic currents, fractional brownian motion and applications to a turbulence model

Franco FlandoliMassimiliano GubinelliFrancesco Russo — 2009

Annales de l'I.H.P. Probabilités et statistiques

We study the pathwise regularity of the map ↦()= 〈( ), d 〉, where is a vector function on ℝ belonging to some Banach space , is a stochastic process and the integral is some version of a stochastic integral defined via regularization. A continuous version of this map, seen as a random element of the topological dual of will be called . We give sufficient conditions for the current to live in some Sobolev space of distributions and we...

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