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The invariant trace formula. II. Global theory

James Arthur
1988 Journal of The American Mathematical Society  
We also have the finite collection g = gG of (nonempty) Levi subsets MeG for which MO contains Mo' and the finite collection gr = yG of (nonempty) parabolic subsets PeG such that pO contains Mo.  ...  We are going to use the local theory of [1(j)] to study the trace formula. I We shall therefore assume that G is of this form.  ...  THE TRACE PALEY-WIENER THEOREMS We shall prove Lemma 6.1. The result can be extracted from the trace Paley-Wiener theorems [6(a), 6(b), 5 and 14] for real and p-adic groups.  ... 
doi:10.1090/s0894-0347-1988-0939691-8 fatcat:5f7tihll5zbz7cgvab2tokjkmi


Yiannis Sakellaridis
2017 Journal of the Institute of Mathematics of Jussieu  
For the group $G=\operatorname{PGL}_{2}$ we perform a comparison between two relative trace formulas: on the one hand, the relative trace formula of Jacquet for the quotient $T\backslash G/T$ , where $  ...  This gives a new proof of the celebrated result of Waldspurger on toric periods, and suggests a new way of comparing trace formulas, with some analogies to Langlands' 'Beyond Endoscopy' program.  ...  In contrast, the goal of Langlands is to "extract" from a given stable trace formula the contribution of a smaller L-group.  ... 
doi:10.1017/s1474748017000032 fatcat:cusmoinnsfcwhlujivkd7h3mfe

The Invariant Trace Formula. I. Local Theory

James Arthur
1988 Journal of The American Mathematical Society  
THE INY ARIANT TRACE FORMULA. I. LOCAL THEORY JAMES ARTHUR CONTENTS where 1 is the Fourier transform of f, while Notice the general structure of the terms.  ...  The functions f()l) and l(A) are independent of r, while the coefficients a f ()l) and a f (A) are independent of f. The Poisson summation formula has a number of applications.  ...  The openness assertion can also be extracted from the work of Clozel and Delorme.  ... 
doi:10.2307/1990920 fatcat:yqvry4abpfdgjk7xbb46lkfeoi

Trace anomaly, massless scalars, and the gravitational coupling of QCD

Roberta Armillis, Claudio Corianò, Luigi Delle Rose
2010 Physical Review D  
We confirm the appearance of an anomaly pole which contributes to the trace part of the TJJ correlator and of extra poles in its trace-free part, in the quark and gluon sectors, describing the coupling  ...  As a test of this general result, we perform a complete one-loop computation of the effective action describing the coupling of a non-abelian gauge theory to gravity.  ...  Acknowledgements We are grateful to Emil Mottola for discussions and to the Cern Theory Group for hospitality.  ... 
doi:10.1103/physrevd.82.064023 fatcat:vecrujxj7vc2xjslqikxd43ypa

On nilpotent extensions of ∞-categories and the cyclotomic trace [article]

Elden Elmanto, Vladimir Sosnilo
2021 arXiv   pre-print
We do three things in this paper: (1) study the analog of localization sequences (in the sense of algebraic K-theory of stable ∞-categories) for additive ∞-categories, (2) define the notion of nilpotent  ...  As applications, we prove cdh descent results for truncating invariants of stacks extending the work of Hoyois-Krishna for homotopy K-theory, and establish new cases of Blanc's lattice conjecture.  ...  On the other hand, they provide a large collection of new functors for which we can prove the DGM theorem.  ... 
arXiv:2010.09155v3 fatcat:ktiitnk6gzhlfh2jrib5ntkdfy

On the Utility of Anonymized Flow Traces for Anomaly Detection [article]

Martin Burkhart, Daniela Brauckhoff, Martin May
2008 arXiv   pre-print
We show that the degree of degradation depends to a large extent on the nature and mix of anomalies present in a trace.  ...  Specifically, we analyze three weeks of un-sampled and non-anonymized network traces from a medium-sized backbone network.  ...  Acknowledgments We are grateful to Elisa Boschi from Hitachi Europe for the numerous valuable discussions and to SWITCH for providing the traffic traces used in this study.  ... 
arXiv:0810.1655v1 fatcat:gztvqucgvfaapiacnpjq52z75q

Tracing the Process of Process Modeling with Modeling Phase Diagrams [chapter]

Jakob Pinggera, Stefan Zugal, Matthias Weidlich, Dirk Fahland, Barbara Weber, Jan Mendling, Hajo A. Reijers
2012 Lecture Notes in Business Information Processing  
The collected data is used to demonstrate our approach for analyzing the process of process modeling. Additionally, we are presenting first insights and sketch requirements for future experiments.  ...  In an experiment building on these assets, we observed a group of modelers engaging in the act of modeling.  ...  This research was funded by the Austrian Science Fund (FWF): P23699-N23.  ... 
doi:10.1007/978-3-642-28108-2_36 fatcat:4ftqkpcqr5ektoml6vl6gxpvqm

Predicting human mobility through the assimilation of social media traces into mobility models [article]

M.G. Beiró, A. Panisson, M. Tizzoni, C. Cattuto
2016 arXiv   pre-print
Here we propose a hybrid model of human mobility that integrates a large-scale publicly available dataset from a popular photo-sharing system with the classical gravity model, under a stacked regression  ...  As vast amounts of digital traces of human behaviour become available, an opportunity arises to improve mobility models by integrating into them proxy data on mobility collected by a variety of digital  ...  The authors also acknowledge support from the "Lagrange Project" of the ISI Foundation funded by the Fondazione CRT and from the "S3 Project" funded by the Compagnia di San Paolo.  ... 
arXiv:1601.04560v2 fatcat:w4u3apevdrcphdoswmszjrier4

Bioaccessibility of trace elements in soils in Northern Ireland

Amy Barsby, Jennifer M. McKinley, Ulrich Ofterdinger, Mike Young, Mark R. Cave, Joanna Wragg
2012 Science of the Total Environment  
Assessment of elevated concentrations of potentially toxic elements (PTE) in soils and the association with specific soil parent material have been the focus of research for a number of years.  ...  the Unified BARGE Method, this paper uses exploratory data analysis and geostatistical analysis to investigate the spatial variability of pseudo-total and bioaccessible concentrations of As, Cd, Co, Cr  ...  Thanks to Maura Pringle for assistance with the preparation of figures. We are grateful for the valuable comments of our two anonymous reviewers.  ... 
doi:10.1016/j.scitotenv.2012.05.099 pmid:22819891 fatcat:m4mqfsaabrg4pfjdkpfvc4fvoq

Introduction: Tracing the origin of /s/ variation

Erez Levon, Marie Maegaard, Nicolai Pharao
2017 Linguistics  
We go on to identify similarities in the meanings associated with /s/ variation cross-linguistically, and briefly describe how theories of sound symbolism may help us to account for these patterns.  ...  AbstractThis paper provides an introduction to the papers in this special issue on the sociophonetics of /s/.  ...  This is the question that the contributions to this issue collectively seek to address, with the aim of Introduction: Tracing the origin of /s/ variation Brought to you by | Queen Mary University  ... 
doi:10.1515/ling-2017-0016 fatcat:vtabfo76dzaddp6l7ldlk2pv6i

Improving the Usability of Virtual Reality Neuron Tracing with Topological Elements [article]

Torin McDonald, Will Usher, Nate Morrical, Attila Gyulassy, Steve Petruzza, Frederick Federer, Alessandra Angelucci, Valerio Pascucci
2020 arXiv   pre-print
While a large number of automatic tracing algorithms have been proposed, these frequently rely on local features in the data and fail on noisy data or ambiguous cases, requiring time-consuming manual correction  ...  As a result, manual and semi-automatic tracing methods remain the state-of-the-art for creating accurate neuron reconstructions.  ...  ., a grant from Research to Prevent Blindness, Inc. and a core grant from the NIH (EY014800) to the Department of Ophthalmology, University of Utah.  ... 
arXiv:2009.01891v1 fatcat:xqq73cq22fgfxji24crlcqhev4

On the θ-split side of the local relative trace formula [article]

Jonathan Sparling
2009 arXiv   pre-print
The author derives an expression for one side of the local relative trace formula, at the level of Lie algebras, by combining methods of Arthur and Harish-Chandra with the structure theory for reductive  ...  One can extract from [4] the relevant results, which are described in this context in [16] .  ...  There is a generalization of a (G, A)-orthogonal set that is important in the theory of the local trace formula.  ... 
arXiv:0905.0034v1 fatcat:edwilfju4rdt5jia7i2dqapcmm

Tracing the evolutionary routes of plant–microbiota interactions

Carmen Escudero-Martinez, Davide Bulgarelli
2019 Current Opinion in Microbiology  
The interactions between plant and soil microbes can be traced back to the initial plant's colonisation of dry lands.  ...  Understanding the evolutionary drivers of these interactions will be key to re-wire them for the benefit of mankind.  ...  We 311 thank Dr Rodrigo Alegria Terrazas (University of Dundee) and Dr Alessandro Passera  ... 
doi:10.1016/j.mib.2019.09.013 pmid:31698159 fatcat:6e3x2dakb5ahlddx7kqnygvr3e

The TRACE model of speech perception

James L McClelland, Jeffrey L Elman
1986 Cognitive Psychology  
A subset of the units in TRACE 11. Each rectangle represents a different unit.  ...  A small subset of the units in TRACE II, the version of the model we will focus on in this paper, is illustrated in Figures 2 and 3 .  ...  We see the TRACE model as an example of a large class of massively parallel, interactive models that holds great promise to provide a deeper understanding of the mechanisms generally used in perception  ... 
doi:10.1016/0010-0285(86)90015-0 pmid:3753912 fatcat:vf4xbvlgufcvbn4dsbftqi2pma

Exact consequences of the trace anomaly in four dimensions

Andrea Cappelli, Riccardo Guida, Nicodemo Magnoli
2001 Nuclear Physics B  
At the critical point, the coefficients a and c of the four-dimensional trace anomaly are related to two finite, scheme-independent amplitudes of the three-point function.  ...  Off-criticality, the imaginary parts of these amplitudes satisfy sum rules which express the total renormalization-group flow of a and c between pairs of critical points.  ...  Acknowledgements The authors thank the hospitality of each other authors' Institution at various stages of this collaboration. They also thank D. Anselmi, C. M. Becchi and Y.  ... 
doi:10.1016/s0550-3213(01)00489-8 fatcat:utrjmsqu6ngbzfhvmgf6u4ej7u
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