Seminari del Dipartimento

Fisica Matematica

I will discuss stochastic interface growth models, in particular in dimension (2+1). A conjecture due to D. Wolf, based on perturbative RG computations, relates the growth critical exponents of fluctuations with the convexity properties of the function v(rho)
that gives the interface speed v as function of the interface slope rho. In particular, it is conjectured that there are two universality classes, called KPZ class and Anistotropic KPZ (AKPZ) class, with different growth exponents. I will present some mathematical results on ,AKPZ class models, in agreement  with Wolf's conjecture. Based on results from arXiv:1503.05339, arXiv:1704.06581 and arXiv:1705.07641

 
org: GIULIANI Alessandro