A coupled formulation of the Gauss–Bonnet invariant term G and the energy–momentum
trace T term, which provide a modified f (G, T) gravity, has been analyzed in this study. The …

Statistical analysis of the behaviour of interacting particles suspended in a fluid undergoing
Brownian motion is extended by a deeper investigation into its spectral properties. By …

We first consider deterministic immersions of the d-dimensional sphere into high
dimensional Euclidean spaces, where the immersion is via spherical harmonics of level n …

We define a family of probability measures on the set of Riemannian metrics lying in a fixed
conformal class, induced by Gaussian probability measures on the (logarithms of) conformal …

This work explores the spectral behavior of interacting many-body systems—gravitating dust
solutions (galaxy formations and black hole clusters) and Brownian fluids. The eigenvalue …

We continue the study, begun in [6], of the critical radius of embeddings, via deterministic
spherical harmonics, of fixed dimensional spheres into higher dimensional ones, along with …

We introduce Gaussian-type measures on the manifold of all metrics with a fixed volume
form on a compact Riemannian manifold of dimension ≥≥ 3. For this random model we …

We study the manifold of all metrics with the fixed volume form on a compact Riemannian
manifold of dimension≥ 3. We compute the characteristic function for the L2 (Ebin) distance …