92 citations · 278 across the 42 of their papers we have counts for
45 papers
Equilibrium stresses and rigidity for infinite tensegrities and frameworks
Stephen Power
Asymptotic equilibrium stresses are defined for countably infinite tensegrities and generalisations of the Roth-Whiteley characterisation of first-order rigidity are obtained. Gene…
Linear zero mode spectra for quasicrystals
Stephen Power
A converse is given to the well-known fact that a hyperplane localised zero mode of a crystallographic bar-joint framework gives rise to a line or lines in the zero mode (RUM) spec…
Non-Euclidean braced grids
Stephen Power
Necessary and sufficient conditions are obtained for the infinitesimal rigidity of braced grids in the plane with respect to non-Euclidean norms. Component rectangles of the grid m…
The parabolic algebra revisited
Eleftherios Kastis, Stephen Power
The parabolic algebra A_p is the weakly closed algebra on L^2(R) generated by the unitary semigroup of right translations and the unitary semigroup of multiplication by the analyti…
Projective plane graphs and 3-rigidity
Eleftherios Kastis, Stephen Power
It is shown that a simple graph which is embeddable in the real projective plane is minimally 3-rigid if and only if it is (3,6)-tight. Moreover the topologically uncontractible em…
Topological inductive constructions for tight surface graphs
James Cruickshank, Derek Kitson, Stephen C. Power +1
We investigate properties of sparse and tight surface graphs. In particular we derive topological inductive constructions for -tight surface graphs in the case of the spher…