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BASE CHANGE FOR BERNSTEIN CENTERS OF DEPTH ZERO PRINCIPAL SERIES BLOCKS
BERNSTEIN ZERO PRINCIPAL SERIES BLOCKS
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2015/9/29
Let G be an unrami ed group over a p-adic eld. This article introduces a base change homomorphism for Bernstein centers of depth-zero principal
series blocks for G and proves the corresponding base ...
ON HECKE ALGEBRA ISOMORPHISMS AND TYPES FOR DEPTH-ZERO PRINCIPAL SERIES
HECKE ALGEBRA ISOMORPHISMS DEPTH-ZERO PRINCIPAL SERIES
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2015/9/29
These lectures describe Hecke algebra isomorphisms and types for depth-zero
principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ
is a depth-zero character on T(O...
The unbounded dead end depth property is not a group invariant
group invariant depth property
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2015/8/26
The dead-end depth of an element g of a group with finite generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d. We exhibit a finitely presen...
A finitely presented group with unbounded dead end depth
dead end depth presented group
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2015/8/26
The dead-end depth of an element g of a group G with generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d defined with respect to A. We exhi...
Depth-based Quality Control Charts for Multivariate Processes
Quality Control Charts Multivariate Processes
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2015/3/20
Depth-based Quality Control Charts for Multivariate Processes.
3-D parallel shot-gather prestack depth migration
3-D prestack depth migration shot-gather bybrid method MPI parellel PC cluster
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2012/8/8
3-D prestack depth migration;shot-gather;bybrid method;MPI parellel;PC cluster。
The sutured Floer polytope and taut depth one foliations
sutured Floer polytope taut depth one foliations Geometric Topology
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2012/5/25
For closed 3-manifolds Ozsv\'ath and Szab\'o, Ni, and Hedden show that there exists a certain duality between an appropriate flavour of the Heegaard Floer polytope and the Thurston norm unit ball. For...
Nonparametrically consistent depth-based classifiers
Affine-invariance Classification procedures Nearest Neighbors Statistical depth functions Symmetrization
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2012/4/16
We introduce a class of depth-based classification procedures that are of a nearest-neighbor nature. Depth, after symmetrization, indeed provides the center-outward ordering that is necessary and suff...
Hofer's metrics and boundary depth
Hofer's metrics boundary depth Symplectic Geometry
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2011/9/19
Abstract: We show that if (M,\omega) is a closed symplectic manifold which admits a nontrivial Hamiltonian vector field all of whose contractible closed orbits are constant, then Hofer's metric on the...
Vanishing of Tate homology and depth formulas over local rings
AB ring complete intersection ring depth formula Gorenstein ring rigidity of Tor Tate homology
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2011/9/9
Abstract: Auslander's depth formula for pairs of Tor-independent modules over a regular local ring,
depth(M \otimes N) = depth(M) + depth(N) - depth(R),
has been generalized in several directions ...
Depth and minimal number of generators of square free monomial ideals
Monomial Ideals Depth Stanley depth Commutative Algebra
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2011/9/5
Abstract: Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by square free monomials of degree $\geq d$. If $I$ contains more monomials of degree $d$ than $(d+1)/d$ of the total n...
Observation of depth-induced properties in wave turbulence on the surface of a fluid
wave turbulence fluid surface depth-induced properties
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2011/7/7
We report the observation of changes in the wave turbulence properties of gravity-capillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wav...
Ideal depth of QF extensions
Ideal depth QF extensions
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2011/1/19
A minimum depth dI (S ! R) is assigned to a ring homomorphism S ! R and a bimodule RIR. The recent notion of depth of a subring d(S,R) in a paper by Boltje-Danz-K¨ulshammer is recovered when I = R and...
Base change for Bernstein centers of depth zero principal series blocks
Base change Bernstein centers depth zero principal series blocks
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2011/2/25
Let G be an unramified group over a p-adic field. This article intro-duces a base change homomorphism for Bernstein centers of depth-zero principal series blocks for G and proves the corresponding bas...
Factorization formulas for higher depth determinants of the Laplacian on the n-sphere
depth determinants the Laplacian on the n-sphere
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2010/11/19
We explicitly give factorization formulas for higher depth determinants, which are defined via derivatives of the spectral zeta function at non-positive integer points, of Laplacians on the n-sphere i...