On the Parabolic and Hyperbolic Liouville Equations
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04125-8
Abstract: We study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity $$\lambda \beta e^{\beta u }$$ λ β e β u , forced by an additive… read more here.
Keywords: sdnlw; gaussian multiplicative; beta; well posedness ... See more keywords
Fractal Gaussian Networks: A Sparse Random Graph Model Based on Gaussian Multiplicative Chaos
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3145197
Abstract: We propose a novel stochastic network model, called Fractal Gaussian Network (FGN), that embodies well-defined and analytically tractable fractal structures. Such fractal structures have been empirically observed in diverse applications. FGNs interpolate continuously between the… read more here.
Keywords: sparse random; fractal gaussian; fractality; model ... See more keywords