We study models of credit with limited commitment, which implies endogenous borrowing constraints. We show that there are multiple stationary equilibria, as well as nonstationary equilibria, including some that display deterministic cyclic and chaotic dynamics. There are also stochastic (sunspot) equilibria, in which credit conditions change randomly over time, even though fundamentals are dete...

The accuracy of the widely used and International Phonetic Association-sanctioned Chao five-point scale of tonal transcription is examined quantitatively. Perceptually transformed acoustic data are used from two Chinese dialects with complex tone systems, and a measure derived of the conformability of the data using their likelihoods. It is shown that some tones conform well to the model, but o...

A large data set of plant species has been collected in New Zealand from 1990 to 1993 on 10 different sites, where sampling was carried out using quadrates. The 10 sites were categorized into three different area types according to their vegetation growth. Each site was also divided into three subsites according to the animals present/absent. Naturally, biologists are very interested in finding...

One hundred and twenty-nine Chinese species of Spathius Nees, 1819 are recognized, of which thirty-five species are described as new to science: S. aciculatus sp. nov., S. albithorax sp. nov., S. angustalatus sp. nov., S. aspratiloides sp. nov., S. basalis sp. nov., S. beatoides sp. nov., S. cephalus sp. nov., S. clavator sp. nov., S. daweiensis sp. nov., S. ferrugineus sp. nov., S. flavicorpus...

BACKGROUND Continuity of care is widely acknowledged as important for patients with multi-morbidity but simple, service-orientated indices cannot capture the full impact of continuity in complex care delivery systems. The patient's perspective is important to assess outcomes fully and this is challenging because generic measures of patient-perceived continuity are lacking. We investigate the Ch...

These are notes from the (ongoing) Student Seminar on Geometry of Fundamental Lemmas at Columbia University in Fall 2017, which is organized by Chao Li, Yihang Zhu and myself. A program with more detailed information, written by Chao and Yihang, can be found here.

http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.09.093 0017-9310/ 2016 Published by Elsevier Ltd. ⇑ Corresponding author at: Department of Mechanical and Aerospace Engineering, Main Academic Building, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong. E-mail address: [email protected] (C.Y.H. Chao). H.H. Lee , S.C. Fu , C.Y. Tso , Christopher Y.H. Chao a,⇑