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The Group of Primitive Almost Pythagorean Triples
Almost pythagorean triples Infinitely generated commutative groups Number Theory
2011/9/6
Abstract: We consider the triples of integer numbers that are solutions of the equation $x^2+qy^2=z^2$, where $q$ is a fixed, square-free arbitrary positive integer. The set of equivalence classes of ...
Renegade Subhaloes in the Local Group
cosmology: theory – cosmology: dark matter – methods: N-body simulations –galaxies: Local Group – galaxies: Magellanic Clouds
2011/10/9
Using a dark matter only Constrained Local UniversE Simulation (CLUES) we examine the existence of subhaloes that change their affiliation from one of the two prominent hosts in the Local Group (i.e. ...
Enlargement of the Transformation Group of General Relativity: Spherically Symmetric Solutions
Gravity theory, transformation groups Lagrangians fi eld equations stellar model external spherically symmetric solutions
2011/10/18
A theory has been presented previously in which the geometrical structure of a real four-dimensional space time manifold is expressed by a real orthonormal tetrad, and the group of diffeomorphisms is ...
Deformation of algebras associated to group cocycles
deformation Fell bundle K-theory Operator Algebras
2011/9/5
Abstract: We define a deformation of algebras endowed with coaction of the reduced group algebras. The deformation parameter is given by a 2-cocycle over the group. We prove K-theory isomorphisms for ...
Fundamental group of uniquely ergodic Cantor minimal systems
Fundamental group Orbit equivalence Brown’s Lemma Dynamical Systems
2011/9/5
Abstract: We introduce the fundamental group ${\mathcal F}(\mathcal{R}_{G, \phi})$ of a uniquely ergodic Cantor minimal $G$-system $\mathcal{R}_{G, \phi}$ where $G$ is a countable discrete group. We c...
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
Unitary representations the Galilean line group Quantum mechanical principle of equivalence
2011/9/5
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Optimal paths for symmetric actions in the unitary group
geodesic segment Lagrangian optimal path unitarily invariant norm unitary group Grassmann manifold angular metric
2011/9/5
Abstract: Given a positive and unitarily invariant Lagrangian L defined in the algebra of Hermitian matrices, and a fixed interval $[a,b]\subset\mathbb R$, we study the action defined in the Lie group...
The Nature of Star Formation at 24 microns in the Group Environment at 0.3 < z < 0.55
Nature Star Formation Group Environment
2011/10/8
Galaxy star formation rates (SFRs) are sensitive to the local environment; for example, the high-density regions at the cores of dense clusters are known to suppress star formation. It has been sugges...
Free group algebras in Malcev-Neumann skew fields of fractions
Division rings Malcev-Neumann series Rings and Algebras
2011/9/5
Abstract: Let K be a skew field and (G,<) an ordered group. We show that the skew field generated by the group ring K[G] inside the Malcev-Neumann series ring K((G;<)) contains noncommutative free gro...
Accurate Group Delay Measurement for Radial Velocity Instruments Using the Dispersed Fixed Delay Interferometer Method
Radial Velocity Dispersed Interferometer Method
2011/9/30
The Dispersed Fixed Delay Interferometer (DFDI) method is attractive for its low cost, compact size and multi-object capability in precision radial velocity (RV) measurements. The phase shift of fring...
Series expansions from the corner transfer matrix renormalization group method: the hard squares model
Corner transfer matrix hard squares model series expansions
2011/9/30
Abstract: The corner transfer matrix renormalization group method is an efficient method for evaluating physical quantities in statistical mechanical models. It originates from Baxter's corner transfe...
Cayley-Dickson and Clifford Algebras as Twisted Group Algebras
twisted group algebra sign function Cayley-Dickson algebra Clifford algebra quaternions octonions
2011/8/26
Abstract: The effect of some properties of twisted groups on the associated algebras, particularly Cayley-Dickson and Clifford algebras. It is conjectured that the Hilbert space of square-summable seq...
The Solar neighbourhood in angle coordinates: the Hyades moving group
solar neighbourhood – Galaxy: kinematics and dynamics – methods: data analysis
2011/9/29
I investigate the suggestion that the Hyades moving group in the Solar neighbourhood is the result of a recent inner Lindblad resonance. I use dynamical "torus" models of the Galaxy to understand the ...
Upper Bounds for the Number of Number Fields with Alternating Galois Group
Number Fields Alternating Galois Group Number Theory
2011/8/26
Abstract: We study the number $N(n, A_n, X)$ of number fields of degree $n$ whose Galois closure has Galois group $A_n$ and whose discriminant is bounded by $X$. By a conjecture of Malle, we expect th...
Group Chase and Escape with Conversion from Targets to Chasers
Conversion Chasers Group Chase Escape
2011/8/3
Abstract: We are studying the effect of converting caught targets into new chasers in the context of the recently proposed `group chase and escape' problem. Numerical simulations have shown that this ...