Livingstone versus Serota: the High-rise Battle of Bankside

In 2001, plans were unveiled by a private developer for a 32-storey residential tower next to the Tate Gallery of Modern Art in Bankside. Although not the tallest building proposed within London's high-rise landscape, this tower became a minor cause célèbre within the city's media. The twists and turns involved in attempts to win — and oppose — planning permission for the building are charted in this paper. Yet, the vociferous battle involved does not reveal distinct political and social fault-lines. Instead, it highlights how an agenda of corporate property-led development has come to dominate efforts to regenerate and re-imagine contemporary London

Unbounded Symmetric Homogeneous Domains in Spaces of Operators

We define the domain of a linear fractional transformation in a space of operators and show that both the affine automorphisms and the compositions of symmetries act transitively on these domains. Further, we show that Liouville's theorem holds for domains of linear fractional transformations, and, with an additional trace class condition, so does the Riemann removable singularities theorem. We also show that every biholomorphic mapping of the operator domain $I < Z^*Z$ is a linear isometry when the space of operators is a complex Jordan subalgebra of ${\cal L}(H)$ with the removable singularity property and that every biholomorphic mapping of the operator domain $I + Z_1^*Z_1 < Z_2^*Z_2$ is a linear map obtained by multiplication on the left and right by J-unitary and unitary operators, respectively. Readers interested only in the finite dimensional case may identify our spaces of operators with spaces of square and rectangular matrices

The Frozen Core Approximation and Nuclear Screening Effects in Single Electron Capture Collisions

Fully Differential Cross Sections (FDCS) for single electron capture from helium by heavy ion impact are calculated using a frozen core 3-Body model and an active electron 4-Body model within the first Born approximation. FDCS are presented for H+, He2+, Li3+, and C6+ projectiles with velocities of 100 keV/amu, 1 MeV/amu, and 10 MeV/amu. In general, the FDCS from the two models are found to differ by about one order of magnitude with the active electron 4-Body model showing better agreement with experiment. Comparison of the models reveals two possible sources of the magnitude difference: the inactive electron's change of state and the projectile-target Coulomb interaction used in the different models. Detailed analysis indicates that the uncaptured electron's change of state can safely be neglected in the frozen core approximation, but that care must be used in modeling the projectile-target interaction

Landau Theory of Tilting of Oxygen Octahedra in Perovskites

The list of possible commensurate phases obtained from the parent tetragonal phase of Ruddlesden-Popper systems, A$_{n+1}$B$_n$C$_{3n+1}$ for general $n$ due to a single phase transition involving the reorienting of octahedra of C (oxygen) ions is reexamined using a Landau expansion. This expansion allows for the nonlinearity of the octahedral rotations and the rotation-strain coupling. It is found that most structures allowed by symmetry are inconsistent with the constraint of rigid octahedra which dictates the form of the quartic terms in the Landau free energy. For A$_2$BC$_4$ our analysis allows only 10 (see Table III) of the 41 structures listed by Hatch {\it et al.} which are allowed by general symmetry arguments. The symmetry of rotations for RP systems with $n>2$ is clarified. Our list of possible structures in Table VII excludes many structures allowed in previous studies.Comment: 21 pages, 21 figures. An elaboration of arXiv:1012.512