20 research outputs found
Stationary probabilities of the multispecies TAZRP and modified Macdonald polynomials: I
Recently, a formula for the Macdonald polynomials was
given in terms of objects called multiline queues, which also compute
probabilities of a particle model from statistical mechanics called the
multispecies ASEP on a ring. It is natural to ask whether the modified
Macdonald polynomials can be obtained using a
combinatorial gadget for some other statistical mechanics model. We answer this
question in the affirmative. In this paper we give a new formula for
in terms of fillings of tableaux called
polyqueue tableaux. In the upcoming sequel to this paper, we show that
polyqueue tableaux also compute probabilities of the multispecies totally
asymmetric zero range process (mTAZRP) on a ring, and that
is equal to the partition function of the
mTAZRP.Comment: 44 pages, 7 figure
Modified Macdonald polynomials and the multispecies zero range process: II
In a previous part of this work, we gave a new tableau formula for the
modified Macdonald polynomials , using a weight
on tableaux involving the queue inversion (quinv) statistic. In this paper we
establish a link between these combinatorial objects and a class of
multispecies totally asymmetric zero-range processes (mTAZRP) on a ring, with
site-dependent jump-rates. We construct a Markov chain on the space of tableaux
of a given shape, which projects to the mTAZRP, and whose stationary
distribution can be expressed in terms of quinv-weighted tableaux. We deduce
that the mTAZRP has a partition function given by the modified Macdonald
polynomial , and we obtain interesting symmetry
properties of the mTAZRP probabilities under permutation of the jump-rates
between the sites. We explore a number of interesting special cases of the
mTAZRP, and give explicit formulas for particle densities and correlations of
the process purely in terms of modified Macdonald polynomials.Comment: 46 pages, 7 figure
Festival quality, self-connection, and bragging
Festivals provide opportunities for experiential consumption, attracting both first-time and repeat visitors. However, current understanding of the perceptual and behavioural differences between these groups remains incomplete. This study investigates how experiential purchase quality influences experience self-connection and braggart word-of-mouth, for both first-time and repeat visitors, using a mixed-method approach. The qualitative (n=32) and quantitative (n=909) results together reveal that the combinations of experiential purchase quality dimensions stimulating experience self-connection and braggart word-of-mouth in repeat visitors differ significantly from those for first-time visitors, emphasising the need for festival managers to pay close attention to how different visitor groups perceive and prioritise experiential purchase quality dimensions. The findings thus extend current understanding of how braggart word-of-mouth emerges in an experiential consumption context
Guest editorial
Olya, H., Van Niekerk, M., Taheri, B. and Gannon, M.J. (2020), "Guest editorial", International Journal of Contemporary Hospitality Management, Vol. 32 No. 4, pp. 1385-1391. https://doi.org/10.1108/IJCHM-04-2020-02