In the D = (n + m + 1) dimensional brane world scenario with m compact dimensions, the radion modulus can be stabilised by a massive bulk m-form antisymmetric field. We analyse some of the phenomenological aspects of this scenario. We find that the radion mass is smaller than the TeV scale, but larger than that in the case where the radion modulus is stabilised by a bulk scalar field. From the ...

Multidimensional ion mobility spectrometry techniques (IMS-IMS and IMS-IMS-IMS) combined with mass spectrometry are used to study structural transitions of ubiquitin ions in the gas phase. It is possible to select and activate narrow distributions of compact and partially folded conformation types and examine new distributions of structures that are formed. Different compact conformations unfol...

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Compact polymers are self-avoiding random walks that visit every site on a lattice. This polymer model is used widely for studying statistical problems inspired by protein folding. One difficulty with using compact polymers to perform numerical calculations is generating a sufficiently large number of randomly sampled configurations. We present a Monte Carlo algorithm that uniformly samples com...

Introduction. The two sections of this note are independent, but they are related by the fact that both use the results of [5 ] to obtain information on the properties of weakly compact sets in Banach spaces. In the first section we prove some results on a class of compact sets which is believed to include all weakly compact subsets of Banach spaces. We are interested in the properties of the n...

Free quantal motion on group manifolds is considered. The Hamiltonian is given by the Laplace – Beltrami operator on the group manifold, and the purpose is to get the (Feynman’s) evolution kernel Kt. The spectral expansion, which produced a series of the representation characters for Kt in the compact case, does not exist for non-compact group, where the spectrum is not bounded. In this work re...

For a reductive Lie group G and a uniform lattice Γ in G we consider the compact space Γ\G. We fix a maximal torus H in G and consider its action on the compact quotient Γ\G. Assuming H to be noncompact we will prove a Lefschetz formula relating compact orbits as local data to the action of the torus H on a global cohomology theory (tangential cohomology). The compact orbits are parametrized mo...

We present the results of numerical simulations which show the formation of blue compact dwarf (BCD) galaxies from merging between very gas-rich dwarfs with extended HI gas disks. We show that dwarf-dwarf merging can trigger central starbursts and form massive compact cores dominated by young stellar populations. We also show that the pre-existing old stellar components in merger precursor dwar...