Inflation in random Gaussian landscapes

Autoregressive Gaussian Random Vectors of First Order

Random Walks in Routing Landscapes

In this paper we present a combinatorial optimisation view on the routing problem for connectionless packet networks by using the metaphor of a landscape. We examine the main properties of the routing landscapes as we define them and how they can help us on the evaluation of the problem difficulty and the generation of effective algorithms. We also present the random walk statistical technique ...

Random Walks in Routing Landscapes

In this paper we present a combinatorial optimisation view on the routing problem for connectionless packet networks by using the metaphor of a landscape. We examine the main properties of the routing landscapes as we define them and how they can help us on the evaluation of the problem difficulty and the generation of effective algorithms. We also present the random walk statistical technique ...

Initial conditions for slow-roll inflation in a random Gaussian landscape

In the landscape perspective, our Universe begins with a quantum tunneling from an eternally-inflating parent vacuum, followed by a period of slow-roll inflation. We investigate the tunneling process and calculate the probability distribution for the initial conditions and for the number of e-folds of slow-roll inflation, modeling the landscape by a small-field one-dimensional random Gaussian p...

Non-Gaussian perturbations in hybrid inflation

We consider second order inflationary perturbations in the case of two scalar fields, σ and the inflaton φ. We derive an expression for the non-Gaussianity of perturbations and apply the results to hybrid inflation. We isolate the contributions due to σ and evaluate the resulting terms to show that σ-induced non-Gaussianities dominate over inflaton-induced non-Gaussianities when m2σ & ηH , wher...