4,813 research outputs found
Measure dependence of 2D simplicial quantum gravity
We study pure 2D Euclidean quantum gravity with interaction on
spherical lattices, employing Regge's formulation. We attempt to measure the
string susceptibility exponent by using a finite-size
scaling Ansatz in the expectation value of . To check on effects of the
path integral measure we investigate two scale invariant measures, the
"computer" measure and the Misner measure .Comment: 3 pages, self unpacking uuencoded PostScript file, contribution to
LATTICE9
On the persistence properties of the cross-coupled Camassa-Holm system
In this paper we examine the evolution of solutions, that initially have
compact support, of a recently-derived system of cross-coupled Camassa-Holm
equations. The analytical methods which we employ provide a full picture for
the persistence of compact support for the momenta. For solutions of the system
itself, the answer is more convoluted, and we determine when the compactness of
the support is lost, replaced instead by an exponential decay rate.Comment: 13 pages, 1 figur
Parallelism in the Hanvueng: A Zhuang Verse Epic from West-Central Guangxi in Southern China
Zhuang is a Tai-Kadai language spoken in southern China. Parallelism is ubiquitous in Zhuang poetry and song,in ritual texts, and in a range of oral genres. Curiously, this salient fact has generally escaped the notice of scholars writing on the subject of Zhuang poetics. This article looks specifically at the phenomenon of parallelism in one particular Zhuang ritual text from west-central Guangxi. This is the Hanvueng, a long verse narrative that is recited at rituals intended to deal with cases of unnatural death and serious family quarrels, especially feuding between brothers. I provide a general description of the role of song and parallel verse in Zhuang oral culture. I next present a typology of poetic lines and passages exhibiting strict parallelism and quasi-parallelism, and also look at the rhetorical and rhythmical uses of non-parallel lines. As a second step in this investigation, I re-analyse these typological categories in terms of the recitation soundscape as it unfolds in real time and in ritual performance. This second step brings us back from an objectivist account to a variety of emic perspectives, and allows us to see more clearly the rhetorical and emotive power generated by the ongoing narration -- and its artistry -- for a range of participants within the ritual space.Abstract from website.David Holm is a Professor in the Department of Ethnology at National Chengchi University in Taipei. He completed a first degree in Classics at the University of Glasgow and holds a D.Phil. in Chinese from the University of Oxford. He conducted fieldwork in the northwest of China during the 1980s and published a monograph on the performing arts and Chinese Communist Party cultural policy (Art and Ideology in Revolutionary China, 1991). Since the early 1990s, he has been engaged in fieldwork on Zhuang and ritual theatre in Guangxi, and produced two collections of edited Zhuang ritual texts (Killing a Buffalo, 2003 and Recalling Lost Souls, 2004). More recently, he has conducted systematic surveys of the traditional vernacular character scripts of the Zhuang and other Tai speakers in southern China and northern Vietnam, and has published a compedium Mapping the Old Zhuang Character Script (Brill, 2013). He is currently editor-inchief, along with Professor Meng Yuanyao of Guangxi Nationalities University, of the series Zhuang Traditional Texts, published by Brill
Measuring the string susceptibility in 2D simplicial quantum gravity using the Regge approach
We use Monte Carlo simulations to study pure 2D Euclidean quantum gravity
with -interaction on spherical topologies, employing Regge's formulation.
We attempt to measure the string susceptibility exponent by
using a finite-size scaling Ansatz in the expectation value of , as has
been done in a previous study by Bock and Vink ( hep-lat/9406018 ). By
considerably extending the range and statistics of their study we find that
this Ansatz is plagued by large systematic errors. The specific string
susceptibility exponent \GS' is found to agree with theoretical predictions,
but its determination also is subject to large systematic errors and the
presence of finite-size scaling corrections. To circumvent this obstacle we
suggest a new scaling Ansatz which in principle should be able to predict both,
\GS and \GS'. First results indicate that this requires large system sizes
to reduce the uncertainties in the finite-size scaling Ans\"atze. Nevertheless,
our investigation shows that within the achievable accuracy the numerical
estimates are still compatible with analytic predictions, contrary to the
recent claim by Bock and Vink.Comment: 33 pages, self unpacking uuencoded PostScript file, including all the
figures. Paper also available at http://www.physik.fu-berlin.de/~holm
Experimental Evidence for Heterogeneous Expectations in a Simple New Keynesian Framework
This paper is a two-dimensional analysis of agent behavior in a standard New Keynesian (NK) Macroeconomic model. On the dimension of pure mathematics, we analyze the parameters of the NK model and of possible prediction rules. On the other dimension we continue a practice of empirical study of heterogeneous expectations with an experiment. The experiment will ask participants to make predictions of future output and inflation. Their responses will create a data-set upon which analysis will be performed to illuminate and corroborate current theories of economic decision making. The literature has shown that most agents\u27 forecasting rules can be modeled by basic linear formulae. We conclude that some subject\u27s predictions are consistent with recursively updating coefficient models, while others still use more inscrutable methods. Despite this, and regardless of which model fit them best, the subjects\u27 errors were all of similar magnitudes
A Generalized Grand-Reaction Method for Modelling the Exchange of Weak (Polyprotic) Acids between a Solution and a Weak Polyelectrolyte Phase
We introduce a Monte-Carlo method that allows for the simulation of a
polymeric phase containing a weak polyelectrolyte, which is coupled to a
reservoir at a fixed pH, salt concentration and total concentration of a weak
polyprotic acid. The method generalizes the established Grand-Reaction Method
by Landsgesell et al. [Macromolecules 53, 3007-3020 (2020)] and thus allows for
the simulation of polyelectrolyte systems coupled to reservoirs with a more
complex chemical composition. In order to set the required input parameters
that correspond to a desired reservoir composition, we propose a generalization
of the recently published chemical potential tuning algorithm of Miles et al.
[Phys. Rev. E 105, 045311 (2022)]. To test the proposed tuning procedure, we
perform extensive numerical tests for both ideal and interacting systems.
Finally, as a showcase, we apply the method to a simple test system which
consists of a weak polybase solution that is coupled to a reservoir containing
a small diprotic acid. The complex interplay of the ionization various species,
the electrostatic interactions and the partitioning of small ions leads to a
non-monotonous, stepwise swelling behaviour of the weak polybase chains.Comment: 18 pages, 9 figure
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