On irregularities of sums of integers
Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems
Superdiffusive bounds on self-repellent precesses in — extended abstract
We prove superdiffusivity with multiplicative logarithmic corrections for a class of models of random walks and diffusions with long memory. The family of models includes the “true” (or “myopic”) self-avoiding random walk, self-repelling Durrett-Rogers polymer model and diffusion in the curl-field of (mollified) massless free Gaussian field in 2D. We adapt methods developed in the context of bulk diffusion of ASEP by Landim-Quastel-Salmhofer-Yau (2004).
Page 1