We study t-analogs of string functions for integrable highest weight representations of the affine Kac-Moody algebra A (1) 1 . We obtain closed form formulas for certain t-string functions of levels 2 and 4. As corollaries, we obtain explicit identities for the corresponding affine Hall-Littlewood functions, as well as higher-level generalizations of Cherednik’s Macdonald and Macdonald-Mehta co...

In this note we give a new proof of the Macdonald-Mehta-Opdam integral identity for finite Coxeter groups. This identity was conjectured by Macdonald and proved by Opdam in [O1, O2] using the theory of multivariable Bessel functions, but in non-crystallographic cases the proof relied on a computer calculation by F. Garvan. Our proof is somewhat more elementary (in particular, it does not use mu...

We show that the existence of algebraic forms of quantum, exactly-solvable, completely-integrable A−B−C−D and G2, F4, E6,7,8 Olshanetsky-Perelomov Hamiltonians allow to develop the algebraic perturbation theory, where corrections are computed by pure linear algebra means. A Lie-algebraic classification of such perturbations is given. In particular, this scheme admits an explicit study of anharm...

There are four directions for developing the proposed areas of Chaohu City in China and it is considered significant to prioritise the development choice among the four proposed directions or plans. This paper is an application of the Analytic Hierarchy Process (AHP) in deciding the urban land use development of Chaohu City. We first analyse a variety of factors related to decision of land use,...

STUDY POPULATION. Four hundred students with physiciandiagnosed asthma attending inner-city elementary schools are currently being recruited from screening surveys collected during the spring and phenotypically characterized at baseline in the summer in an ongoing longitudinal study (SICAS [School Inner-City Asthma Study]). The primary purpose of the study is to evaluate the role of indoor alle...

STUDY POPULATION. Four hundred students with physiciandiagnosed asthma attending inner-city elementary schools are currently being recruited from screening surveys collected during the spring and phenotypically characterized at baseline in the summer in an ongoing longitudinal study (SICAS [School Inner-City Asthma Study]). The primary purpose of the study is to evaluate the role of indoor alle...

The online stochastic matching problem is a variant of online bipartite matching in which edges are labeled with probabilities. A match will “succeed” with the probability along that edge; this models, for instance, the click of a user in search advertisement. The goal is to maximize the expected number of successful matches. This problem was introduced by Mehta and Panigrahi (FOCS 2012), who f...

With the advent of the smart city paradigm, modern cities have become complex systems of systems with a host of increasingly entangled dependencies and interactions among systems as well as stakeholders from multiple different domains. Efficient design, engineering, and operation of such systems is challenging due to the large number of involved stakeholders and their requirements, which might ...

This paper explores the relationship between forced migration and the city. The paper outlines four accounts of the city centred on: displacement and the camp-city, dispersal and refugee resettlement, the ‘re-scaling’ of borders, and the city as a sanctuary. Whilst valuable, these discussions maintain a focus on sovereign authority that tends to prioritize the policing of forced migration over ...

Can cities be smart? In this article we define what a smart city is and formulate categories and indicators of smart and/or informational cities. Based on these measures, we investigate four Japanese cities as case studies that appear to be highly developed modern metropolises. We focus on infrastructures essential for an informational city as base for a ubiquitous, smart (in a narrow sense), c...