In this paper we studied skew cyclic codes over the ring R=Fp+uFp where p is an odd prime and u2=0. We have classified skew cyclic codes of all lengths as left R[x;% \boldmath\mathchar274]-submodules of Rn=R[x;% \boldmath\mathchar274]/⟨xn−1⟩. Our cl…

In this paper, we study skew cyclic codes with arbitrary length over the ring $R=\mathbb{F}_{p}+u\mathbb{F}_{p}$ where $p$ is an odd prime and $% u^{…

In this work we compute the production of magnetic fields in models of axion inflation coupled to the hypercharge sector of the Standard Model throug…

We develop a full four-dimensional numerical code to study scalar gravitational radiation emitted from binary systems and probe the Vainshtein mechan…

The recent claim by BICEP2 of evidence for primordial gravitational waves from inflation has focused interest on the potential for early-Universe cos…

We study gravitational wave production during Abelian gauge-field preheating following inflation. We consider both scalar and pseudoscalar inflaton m…

Random spanning trees of a graph $G$ are governed by a corresponding probability mass distribution (or "law"), $\mu$, defined on the set of all spann…

It has recently been shown in high resolution numerical simulations that relativistic collisions of bubbles in the context of a multi-vacua potential…

We study the post-inflation dynamics of multifield models involving nonminimal couplings using lattice simulations to capture significant nonlinear e…

We study the onset of the reheating epoch at the end of axion-driven inflation where the axion is coupled to an Abelian, $U(1)$, gauge field via a Ch…

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