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3,187
Modules for Algebraic Groups With Finitely Many Orbits on Subspaces
, 1997
"... Introduction Let G be a connected linear algebraic group over an algebraically closed field K of characteristic p 0. In this paper we determine all finitedimensional irreducible rational KGmodules V such that G has only a finite number of orbits on the set of vectors in V . We shall call such a ..."
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Cited by 13 (5 self)
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in such a situation, the group K G will have finitely many orbits on V . This
ELA NATURAL GROUP ACTIONS ON TENSOR PRODUCTS OF THREE REAL VECTOR SPACES WITH FINITELY MANY ORBITS ∗
"... Abstract. Let G be the direct product of the general linear groups of three real vector spaces U, V, W of dimensions l, m, n (2 ≤ l ≤ m ≤ n<∞). Consider the natural action of G on the tensor product of these spaces. The number of Gorbits in X is finite if and only if l =2andm = 2 or 3. In these ..."
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Abstract. Let G be the direct product of the general linear groups of three real vector spaces U, V, W of dimensions l, m, n (2 ≤ l ≤ m ≤ n<∞). Consider the natural action of G on the tensor product of these spaces. The number of Gorbits in X is finite if and only if l =2andm = 2 or 3
Oligomorphic permutation groups
 LONDON MATHEMATICAL SOCIETY STUDENT TEXTS
, 1999
"... A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ω n (the set of ntuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their grouptheoretic pro ..."
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Cited by 320 (26 self)
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A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ω n (the set of ntuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their group
For many...
, 2003
"... Recent Nbody simulations show that the formation of a presentday, galaxy sized dark matter halo in the cold dark matter cosmogony in general consists of an early fast collapse phase, during which the potential associated with a halo is established, followed by a slow accretion phase, during which ..."
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the halo center. The loss of orbital energy of the cold clouds to the dark matter and the ejection of gas from halo center by starburst can significantly reduce the halo concentration. The outflow from the starburst can also heat the gas in the protogalaxy region. Subsequent formation of galaxies
The reward circuit: linking primate anatomy and human imaging
 Neuropsychopharmacology
, 2010
"... Although cells in many brain regions respond to reward, the corticalbasal ganglia circuit is at the heart of the reward system. The key structures in this network are the anterior cingulate cortex, the orbital prefrontal cortex, the ventral striatum, the ventral pallidum, and the midbrain dopamine ..."
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Cited by 220 (3 self)
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Although cells in many brain regions respond to reward, the corticalbasal ganglia circuit is at the heart of the reward system. The key structures in this network are the anterior cingulate cortex, the orbital prefrontal cortex, the ventral striatum, the ventral pallidum, and the midbrain dopamine
Marine gravity anomaly from Geosat and ERS1 satellite altimetry
 J. Geophys. Res
, 1997
"... Abstract. Closely spaced satellite altimeter profiles collecte during the Geosat Geodetic Mission (6 km) and the ERS 1 Geodetic Phase (8 km) are easily converted to grids of vertical gravity gradient and gravity anomaly. The longwavelength radial orbit error is suppressed below the noise level of ..."
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Cited by 211 (8 self)
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Abstract. Closely spaced satellite altimeter profiles collecte during the Geosat Geodetic Mission (6 km) and the ERS 1 Geodetic Phase (8 km) are easily converted to grids of vertical gravity gradient and gravity anomaly. The longwavelength radial orbit error is suppressed below the noise level
Action minimizing invariant measures for positive definite Lagrangian systems
 Math. Z
, 1991
"... In recent years, several authors have studied "minimal " orbits of Hamiltonian systems in two degrees of freedom and of area preserving monotone twist diffeomorphisms. Here, "minimal " means action minimizing. This class of orbits has many interesting properties, as may be seen ..."
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Cited by 194 (0 self)
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In recent years, several authors have studied "minimal " orbits of Hamiltonian systems in two degrees of freedom and of area preserving monotone twist diffeomorphisms. Here, "minimal " means action minimizing. This class of orbits has many interesting properties, as may be seen
SRB measures for partially hyperbolic systems whose central direction is mostly expanding
, 2000
"... We construct SinaiRuelleBowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms  the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting  under the assumption that the complementary subbundle is nonuniformly expanding. If the r ..."
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Cited by 197 (44 self)
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. If the rate of expansion (Lyapunov exponents) is bounded away from zero, then there are only finitely many SRB measures. Our techniques extend to other situations, including certain maps with singularities or critical points, as well as diffeomorphisms having only a dominated splitting (and no uniformly
ORBITS OF AUTOMORPHISM GROUPS OF FIELDS
"... Abstract. We address several specific aspects of the following general question: can a field K have so many automorphisms that the action of the automorphism group on the elements of K has relatively few orbits? We prove that any field which has only finitely many orbits under its automorphism group ..."
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Cited by 1 (0 self)
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Abstract. We address several specific aspects of the following general question: can a field K have so many automorphisms that the action of the automorphism group on the elements of K has relatively few orbits? We prove that any field which has only finitely many orbits under its automorphism
Results 1  10
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3,187