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305
Hyperdeterminantal expressions for Jack functions of rectangular shapes
, 2007
"... We derive a JacobiTrudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley’s simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulas for Schur ..."
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Cited by 5 (0 self)
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We derive a JacobiTrudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley’s simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulas for Schur
Hyperdeterminant expressions for Jack functions of rectangular shapes
, 2006
"... We derive a JacobiTrudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley’s simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulae for Schur ..."
Abstract

Cited by 2 (1 self)
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We derive a JacobiTrudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley’s simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulae for Schur
Biorthogonal Expansion of NonSymmetric Jack Functions
 SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS
, 2007
"... We find a biorthogonal expansion of the Cayley transform of the nonsymmetric Jack functions in terms of the nonsymmetric Jack polynomials, the coefficients being Meixner–Pollaczek type polynomials. This is done by computing the Cherednik–Opdam transform of the nonsymmetric Jack polynomials multi ..."
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We find a biorthogonal expansion of the Cayley transform of the nonsymmetric Jack functions in terms of the nonsymmetric Jack polynomials, the coefficients being Meixner–Pollaczek type polynomials. This is done by computing the Cherednik–Opdam transform of the nonsymmetric Jack polynomials
Accurate and efficient evaluation of Schur and Jack functions
 Math. Comp
, 2006
"... Abstract. We present new algorithms for computing the values of the Schur sλ(x1,x2,...,xn)andJackJ α λ (x1,x2,...,xn) functions in floating point arithmetic. These algorithms deliver guaranteed high relative accuracy for positive data (xi,α>0) and run in time that is only linear in n. 1. ..."
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Cited by 13 (4 self)
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Abstract. We present new algorithms for computing the values of the Schur sλ(x1,x2,...,xn)andJackJ α λ (x1,x2,...,xn) functions in floating point arithmetic. These algorithms deliver guaranteed high relative accuracy for positive data (xi,α>0) and run in time that is only linear in n. 1.
Two parameters circular ensembles and JacobiTrudi type formulas for Jack functions of rectangular shapes
, 2006
"... Jack function theory is useful for the calculation of the moment of the characteristic polynomials in Dyson’s circular βensembles (CβE). We define a qanalogue of the CβE and calculate moments of characteristic polynomials via Macdonald function theory. By this qdeformation, the asymptotics calcul ..."
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Cited by 2 (0 self)
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Jack function theory is useful for the calculation of the moment of the characteristic polynomials in Dyson’s circular βensembles (CβE). We define a qanalogue of the CβE and calculate moments of characteristic polynomials via Macdonald function theory. By this qdeformation, the asymptotics
Manipulation of the running variable in the regression discontinuity design: A density test
 Journal of Econometrics 142
, 2008
"... Standard sufficient conditions for identification in the regression discontinuity design are continuity of the conditional expectation of counterfactual outcomes in the running variable. These continuity assumptions may not be plausible if agents are able to manipulate the running variable. This pap ..."
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Cited by 316 (6 self)
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. This paper develops a test of manipulation related to continuity of the running variable density function. The methodology is applied to popular elections to the House of Representatives, where sorting is neither expected nor found, and to rollcall voting in the House, where sorting is both expected
The efficient evaluation of the hypergeometric function of a matrix argument
 MATH. COMP
, 2005
"... We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix. ..."
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Cited by 79 (17 self)
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We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit the combinatorial properties of the Jack function, and have complexity that is only linear in the size of the matrix.
JACKLAURENT SYMMETRIC FUNCTIONS
"... Abstract. We develop the general theory of JackLaurent symmetric functions, which are certain generalisations of the Jack symmetric functions, depending on an additional parameter p0. Contents ..."
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Abstract. We develop the general theory of JackLaurent symmetric functions, which are certain generalisations of the Jack symmetric functions, depending on an additional parameter p0. Contents
The Integration Project for the JACK Environement
 BULLETIN OF THE EATCS
, 1994
"... JACK, standing for Just Another Concurrency Kit, is a new environment integrating a set of verification tools, supported by a graphical interface offering facilities to use these tools separately or in combination. The environment proposes several functionalities for the design, analysis and verif ..."
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Cited by 44 (14 self)
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JACK, standing for Just Another Concurrency Kit, is a new environment integrating a set of verification tools, supported by a graphical interface offering facilities to use these tools separately or in combination. The environment proposes several functionalities for the design, analysis
Orthogonal functions generalizing Jack polynomials
 Trans. Amer. Math. Soc
"... Abstract. The rational Cherednik algebra H is a certain algebra of differentialreflection operators attached to a complex reflection group W and depending on a set of central parameters. Each irreducible representation S λ of W corresponds to a standard module M(λ) for H. This paper deals with the ..."
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Cited by 16 (9 self)
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are the nonsymmetric Jack polynomials. We use intertwining operators to deduce a norm formula for our orthogonal functions and give an explicit combinatorial description of the lattice of submodules of M(λ) in the case in which the orthogonal functions are all welldefined. A consequence of our results
Results 1  10
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305