Let X(t), t ∈ ℝd, be a centered Gaussian random field with continuous trajectories and set ξu(t) = X(f(u)t), t ∈ ℝd, with f some positive function. Using classical results we can establish the tail ...

In this video, we derive the electric field of a long uniformly charged rod using Gauss’s law. We choose an appropriate Gaussian surface, apply symmetry arguments, and walk through the math ...

In this video, we use Gauss’s law to find the electric field of a uniformly charged sphere. We derive the field both inside and outside the sphere, explain the symmetry behind the Gaussian surface ...

In the first part of the course, we will start with an introduction to the Gaussian free field (GFF), which is an object which has been at the heart of some recent groundbreaking developments in ...

New Tool Addresses Ground Plane Losses, Broadband Extraction of Dk, DF, and Roughness, and a Higher Level of Granularity and Accuracy for High Frequency, High Data Rate Designs SAN JOSE, ...

This is a preview. Log in through your library . Abstract We present the asymptotic distribution theory for a class of increment-based estimators of the fractal ...