### Right Type Departmental Bulletin Paper

"... Let us write by $E $ the extraspecial-group $p_{+}^{1+2} $ of order $p $ and exponent $p $ for an odd prime $p $. Let $G $ be a finite group having $E $ as a Sylow $p$-group, and let $BG(=BP_{p}^{\mathrm{A}}) $ the $p$-completed classifying space of $G $. In papers [T-Y],[Y1,2], the cohomology and s ..."

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Let us write by $E $ the extraspecial-group $p_{+}^{1+

*2*} $ of order $p $ and exponent $p $ for an odd prime $p $. Let $G $ be a finite group having $E $ as a Sylow $p$-group, and let $BG(=BP_{p}^{\mathrm{A}}) $ the $p$-completed classifying space of $G $. In papers [T-Y],[Y1,*2*], the cohomology### Feedback Communication Systems: Fundamental Limits and Control-Theoretic Approach

, 2010

"... Copyright ..."

### Generator

, 1994

"... Introduction. In this paper we calculate the localisation at the prime 3 of the integral cohomology ring of the Mathieu group M24, together with its mod-3 cohomology ring. The main results are: ..."

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Introduction. In this paper we calculate the localisation at the prime

*3*of the integral cohomology ring of the Mathieu group M24, together with its mod-*3*cohomology ring. The main results are:### 5 ω-CFL which are Borel of infinite rank 12

"... This paper is a continuation of the study of topological properties of omega context free languages (ω-CFL). We proved in [Topological Properties of Omega Context Free Languages, Theoretical Computer Science, Volume 262 (1-2), 2001, p. 669-697] that the class of ω-CFL exhausts the finite ranks of th ..."

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This paper is a continuation of the study of topological properties of omega context free languages (ω-CFL). We proved in [Topological Properties of Omega Context Free Languages, Theoretical Computer Science, Volume 262 (1-

*2*), 2001, p. 669-697] that the class of ω-CFL exhausts the finite ranks### AGR 05

"... Responses of soil biological processes to elevated atmospheric [CO2] and nitrogen addition in a poplar plantation ..."

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Responses of soil biological processes to elevated atmospheric [CO

*2*] and nitrogen addition in a poplar plantation### RICE UNIVERSITY Regime Change: Sampling Rate vs. Bit-Depth in Compressive Sensing

, 2011

"... The compressive sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by exploiting inherent structure in natural and man-made signals. It has been demon-strated that structured signals can be acquired with just a small number of linear measurements, on the order of t ..."

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The compressive sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by exploiting inherent structure in natural and man-made signals. It has been demon-strated that structured signals can be acquired with just a small number of linear measurements, on the order of the signal complexity. In practice, this enables lower sampling rates that can be more easily achieved by current hardware designs. The primary bottleneck that limits ADC sam-pling rates is quantization, i.e., higher bit-depths impose lower sampling rates. Thus, the decreased sampling rates of CS ADCs accommodate the otherwise limiting quantizer of conventional ADCs. In this thesis, we consider a different approach to CS ADC by shifting towards lower quantizer bit-depths rather than lower sampling rates. We explore the extreme case where each measurement is quantized to just one bit, representing its sign. We develop a new theoretical framework to analyze this extreme case and develop new algorithms for signal reconstruction from such coarsely quantized measurements. The 1-bit CS framework leads us to scenarios where it may be more appropriate to reduce bit-depth instead of sampling rate. We find that there exist two distinct regimes of operation that correspond to high/low signal-to-noise ratio (SNR). In the measurement

### SYMMETRIC STRUCTURE FOR CLOSURE ALGEBRAS

"... ABSTRACT. The aim of this paper is to investigate the variety of symmetric closure alge-bras, that is, closure algebras endowed with a De Morgan operator. Some general properties are derived. Particularly, the lattice of subvarieties of the subvariety of monadic and linear symmetric algebras is desc ..."

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ABSTRACT. The aim of this paper is to investigate the variety of symmetric closure alge-bras, that is, closure algebras endowed with a De Morgan operator. Some general properties are derived. Particularly, the lattice of subvarieties of the subvariety of monadic and linear symmetric algebras is described and an equational basis for each subvariety is given. 1.

### January 18, 2005 13:28 WSPC/INSTRUCTION FILE p0203 DYNAMICS OF THE GROUND STATE AND CENTRAL VORTEX STATES IN BOSE-EINSTEIN CONDENSATION

, 2005

"... Communicated by (Pierre Degond) In this paper, we study dynamics of the ground state and central vortex states in Bose-Einstein condensation (BEC) analytically and numerically. We show how to define the energy of the Thomas-Fermi (TF) approximation, prove that the ground state is a global minimizer ..."

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that the angular momentum expectation is conserved in two-dimensions (

*2*D) with a radial symmetric trap and*3*D with a cylin-drical symmetric trap for any initial data, and study numerically stability of central vortex states as well as interaction between a few central vortices with winding numbers ±1 by a fourth###
Robust M-Estimation for Heavy Tailed Nonlinear AR-GARCH (with Supplemental Appendix *C*)

, 2011

"... All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."

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All in-text references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.

###
1Robust M-Estimation for Heavy Tailed Nonlinear AR-GARCH (with Supplemental Appendix *C*)

, 2011

"... We develop new tail-trimmed M-estimation methods for heavy tailed Nonlinear AR-GARCH models. Tail-trimming allows both identi…cation of the true parameter and asymptotic normality for nonlinear models with asymmetric errors. In heavy tailed cases the rate of convergence is in…nitesimally close to th ..."

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We develop new tail-trimmed M-estimation methods for heavy tailed Nonlinear AR-GARCH models. Tail-trimming allows both identi…cation of the true parameter and asymptotic normality for nonlinear models with asymmetric errors. In heavy tailed cases the rate of convergence is in…nitesimally close to the highest possible amongst M-estimators for a particular loss function, hence super- 12-convergence can be achieved in nonlinear AR models with in…nite variance errors, and arbitrarily near 12-convergence for GARCH with errors that have an in…nite fourth moment. We present a consistent estimator of the covariance matrix that permits classic inference without knowledge of the rate of convergence, and explore asymptotic covariance and bootstrap mean-squared-error methods for selecting trimming parameters. A simulation study shows the estimator trumps existing ones for AR and GARCH models based on sharpness, approximate normality, rate of convergence, and test accuracy. We then use the estimator to study asset returns data. 1. INTRODUCTION It is now widely accepted that log-returns of many macroeconomic and …nancial time series are heavy tailed, asymmetrically distributed, and exhibit clustering of large values. In broader contexts extremes are encountered in actuarial, meteorological, and