We require the following topological lemma.

We define a quasi-Fatou component of a quasiregular map as a connected component of the complement of the Julia set. A domain in $\mathbb{R}^d$ is ca…

In order to prove Theorem 1.1, we find it convenient to use the 1-dimensional category of R. H. Fox [19] (see also [24] and [27]). Let X be a topological space.

We show that the topological complexity of an aspherical space $X$ is bounded below by the cohomological dimension of the direct product $A\times B$,…

This work was supported by Agent Oriented Software and the Australian Research Council (grant LP0882234). We thank Brian Logan for useful discussions relating to the work presented, and the anonymous reviewers for helpful feedback.

Hierarchically structured agent plans are important for efficient planning and acting, and they also serve (among other things) to produce "richer" c…

We present a numerical study of the dynamics of the one-dimensional Ising model by applying the large-deviation method to describe ensembles of dynam…

We present the results of a study on the properties and evolution of massive (M_* > 10^11 M_0) galaxies at z~0.4 - 2 utilising Keck spectroscopy, nea…

Several end-to-end deep learning approaches have been recently presented which extract either audio or visual features from the input images or audio…

Promising first steps were made toward the development of an embodied virtual agent. The agent was capable of utilizing a number of information-eliciting strategies in order to achieve a sustained interaction with a user. We argued that emotional en…

By utilizing different communication channels, such as verbal language, gestures or facial expressions, virtually embodied interactive humans hold a …

Recently observed magnetophonon resonances in the magnetoresistance of graphene are investigated using the Kubo formalism. This analysis provides a q…

Recent experimental results point to the existence of coherent quantum phenomena in systems made of a large number of particles, despite the fact tha…

The problem of estimating an unknown phase $ \varphi $ using two-level probes in the presence of unital phase-covariant noise and using finite resour…

In this paper, an alternative method to range-separated linear-response time-dependent density-functional theory and perturbation theory is proposed …

Ill-posed inverse problems are ubiquitous in applications. Under- standing of algorithms for their solution has been greatly enhanced by a deep under…

In order to assess whether the environment has a significant effect on galaxy sizes, we compare the mass--size relations of cluster and field galaxie…

We examine the Unruh-DeWitt particle detector coupled to a scalar field in an arbitrary Hadamard state in four-dimensional curved spacetime. Using sm…

We present an overview of the Space Telescope A901/2 Galaxy Evolution Survey (STAGES). STAGES is a multiwavelength project designed to probe physical…

Portfolio optimisation typically aims to provide an optimal allocation that minimises risk, at a given return target, by diversifying over different …

The derivation of general performance benchmarks is important in the design of highly optimized heat engines and refrigerators. To obtain them, one m…

Determining the dark matter (DM) mass is of paramount importance for understanding dark matter. We present a novel parametrization of the DM speed di…

Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of th…

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instanc…

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