We would like to thank the referee for his/her stimulating comments and suggestions.

Consider a random walk $S_i= \xi_1+\ldots+\xi_i$, $i\in\mathbb N$, whose increments $\xi_1,\xi_2,\ldots$ are independent identically distributed rand…

Of the various aspects pertaining to the ERG that have been discussed in this paper it is worth asking, now that we are almost finished, whether any in particular can stake a claim to being the most profound. In part, the answer to this rather subje…

Various aspects of the Exact Renormalization Group (ERG) are explored, starting with a review of the concepts underpinning the framework and the circ…

There is considerable and growing interest in the emergence of novel technologies, especially from the policy-making perspective. Yet as an area of s…

Trapped ions are a promising tool for building a large-scale quantum computer. However, the number of required radiation fields for the realisation o…

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We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stabilit…

In this paper we explore the possibility that the sterile neutrino and Dark Matter sectors in the Universe have a common origin. We study the consequ…

We report an improved measurement of the cosmic microwave background (CMB) $B$-mode polarization power spectrum with the POLARBEAR experiment at 150 …

We build on existing calculations of the wall velocity of the expanding bubbles of the broken symmetry phase in a first-order electroweak phase trans…

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Observations of the epoch of reionization give us clues about the nature and evolution of the sources of ionizing photons, or early stars and galaxie…

This paper examines the use of scientometric overlay mapping as a tool of 'strategic intelligence' to aid the governance of emerging technologies. We…

In the present section we prove Theorem 1.2 under the hypothesis that the average s is positive, namely that

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The concept of the brain as a critical system is very attractive because systems close to criticality are thought to maximise their dynamic range of …

Making use of definitive new lattice computations of the Standard Model thermodynamics during the quantum chromodynamic (QCD) phase transition, we ca…

The nature of dark matter is still unknown and one of the most fundamental scientific mysteries. Although successfully describing large scales, the s…

We report on the first 3-dimensional numerical simulations of first-order phase transitions in the early universe to include the cosmic fluid as well…

The quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatia…

In this paper we have shown how models which couple F-term hybrid inflation with the MSSM without extra ingredients naturally realise a period of thermal inflation, with a reheat temperature of around 109 GeV, while generating the Higgs μ-term. The …

We consider a class of models in which minimal gauged F-term hybrid inflation is coupled renormalisably to the minimal supersymmetric standard model …

Successful inflationary models must obey an approximate shift symmetry in order to generate sufficient e-folds of inflation. This shift symmetry allows us to add any scalar constructed from gradients of the inflaton field to the inflationary Lagrang…

Galileon inflation is a radiatively stable higher derivative model of inflation. The model is determined by a finite number of relevant operators whi…

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