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92
SYMMETRIC FUNCTIONS AND MACDONALD POLYNOMIALS
, 2008
"... The ring of symmetric functions Λ, with natural basis given by the Schur functions, arise in many different areas of mathematics. For example, as the cohomology ring of the grassmanian, and as the representation ring of the symmetric group. One may define a coproduct on Λ by the plethystic additio ..."
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The ring of symmetric functions Λ, with natural basis given by the Schur functions, arise in many different areas of mathematics. For example, as the cohomology ring of the grassmanian, and as the representation ring of the symmetric group. One may define a coproduct on Λ by the plethystic
An Algorithmic Proof Theory for Hypergeometric (ordinary and ``$q$'') Multisum/integral Identities
, 1991
"... this paper we show that these fast algorithms can be extended to the much larger class of multisum terminating hypergeometric (or equivalently, binomial coefficient) identities, to constant term identities of DysonMacdonald type, to MehtaDyson type integrals, and more generally, to identities inv ..."
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Cited by 189 (17 self)
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this paper we show that these fast algorithms can be extended to the much larger class of multisum terminating hypergeometric (or equivalently, binomial coefficient) identities, to constant term identities of DysonMacdonald type, to MehtaDyson type integrals, and more generally, to identities
Nearest neighbor Markov dynamics on Macdonald processes
 In preparation
"... Macdonald processes are certain probability measures on twodimensional arrays of interlacing particles introduced by Borodin and Corwin in [7]. They are defined in terms of nonnegative specializations of the Macdonald symmetric functions and depend on two parameters q, t ∈ [0; 1). Our main result ..."
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Cited by 12 (8 self)
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result is a classification of continuous time, nearest neighbor Markov dynamics on the space of interlacing arrays that act nicely on Macdonald processes. The classification unites known examples of such dynamics and also yields many new ones. When t = 0, one dynamics leads to a new integrable
Algebraic Integrability Of Macdonald Operators And Representations Of Quantum Groups
"... In this paper we construct examples of commutative rings of difference operators with matrix coefficients from representation theory of quantum groups, generalizing the results of our previous paper [ES] to the qdeformed case. A generalized BakerAkhiezer function \Psi is realized as a matrix ch ..."
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Cited by 13 (3 self)
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In this paper we construct examples of commutative rings of difference operators with matrix coefficients from representation theory of quantum groups, generalizing the results of our previous paper [ES] to the qdeformed case. A generalized BakerAkhiezer function \Psi is realized as a matrix
LES ANALYSIS OF TURBULENT BOUNDARYLAYER FLOW OVER URBANLIKE BUILDING ARRAYS WITH VARIOUS SPATIAL ARRANGEMENT AND HEIGHT DISTRIBUTION
"... So far, many researchers have studied the turbulent flow over urbanlike roughness models. For example, Macdonald (1998) proposed an improved model for the estimation of surface ..."
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So far, many researchers have studied the turbulent flow over urbanlike roughness models. For example, Macdonald (1998) proposed an improved model for the estimation of surface
MACDONALD PROCESSES, QUANTUM INTEGRABLE SYSTEMS AND THE KARDARPARISIZHANG UNIVERSALITY CLASS
, 2014
"... Integrable probability has emerged as an active area of research at the interface of probability/mathematical physics/statistical mechanics on the one hand, and representation theory/integrable systems on the other. Informally, integrable probabilistic systems have two properties: (1) It is poss ..."
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and universal scaling limits for disordered systems. We focus here on examples of integrable probabilistic systems related to the KardarParisiZhang (KPZ) universality class and explain how their integrability stems from connections with symmetric function theory and quantum integrable systems. 1. Integrable
THE NORTHERN RHODESIAN COPPERBELT: IS IT A CLASSIC EXAMPLE OF SYN GENETIC DEPOSITION •
"... ruary, 1962, Dr. J. j. Brummer spoke on the syngenetic theory of ore genesis as applied to deposits in Northern Rhodesia. Many of Dr. Brummer's remarks were based upon the volume, "Geology of the Northern Rhodesian Copper Belt, " edited by Dr. F. Mendelsohn, Chief Geologist of the Ro ..."
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of the Roan Antelope Copper Mines, Ltd., and published in 1961 by MacDonald and Co. of London in time for the Seventh Mining and Metallurgical Congress. Dr. Bruinruer unquestionably has a wide knowledge of the district. His thesis in 1955 described the "Geology of the'Roan Antelope Mine "
Parsing Modi£ers: The Case of Bare NP Adverbs
"... Current models of Human Sentence Processing fall into two broad categories: Constraint Satisfaction accounts, which emphasise the immediate access of the comprehension processes to detailed linguistic information as parsing progresses (e.g., MacDonald et al., 1994), and Syntax First accounts, which ..."
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appears dif£cult to reconcile with many current accounts of sentence processing. Constraint Satisfaction models of Human Sentence Processing rely heavily on detailed information about the combinatorial possibilities and probabilities associated with each word of a sentence. For example, MacDonald et al
1 The Effects of HighIntensity Training on the Cybex Arc Trainer on Muscular Endurance and Work Capacity
"... Historically, research studies have examined the effects of strength, or resistance training on physiological outcomes. Both Macdonald (1983) and Reid et al (1987), for example, documented changes in body composition and ..."
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Historically, research studies have examined the effects of strength, or resistance training on physiological outcomes. Both Macdonald (1983) and Reid et al (1987), for example, documented changes in body composition and
qAnalogs of symmetric function operators
"... Abstract. For any homomorphism V on the space of symmetric functions, we introduce an operation which creates a qanalog of V. By giving several examples we demonstrate that this quantization occurs naturally within the theory of symmetric functions. In particular, we show that the HallLittlewood s ..."
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Cited by 7 (5 self)
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Abstract. For any homomorphism V on the space of symmetric functions, we introduce an operation which creates a qanalog of V. By giving several examples we demonstrate that this quantization occurs naturally within the theory of symmetric functions. In particular, we show that the Hall
Results 1  10
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92