Does Lincoln Still Belong to the Ages?

Edwin M. Stanton gets only a footnote in John Bartlett’s Familiar Quotations, but the phrase is one that many know by heart, words this normally irascible and overbearing powder-keg of a man uttered at Abraham Lincoln’s deathbed: “Now he belongs to the ages.” That, at least, was how John Hay recorded Stanton’s words. Dr. Charles Sabin Taft, who had been boosted awkwardly from the stage to the presidential box in Ford’s Theatre and who accompanied the dying Lincoln across Tenth Street to the Petersen House’s back bedroom, thought that Stanton had said, “He now belongs to the ages.” James Rowan O’Beirne, who as provost-marshal of the District of Columbia had volunteered himself as Andrew Johnson’s bodyguard, expressly denied Hay’s claim in 1905 and could only recall Stanton having said, “That’s the last of him.” The stenographer Stanton had drafted for service that night to take depositions from witnesses, Corporal James Tanner, didn’t remember Stanton saying anything: “The utmost silence pervaded, broken only by the sound of strong men’s tears,” until Phineas Gurley proposed to say a prayer. In later years, Tanner would remember more and more of what he heard that night (even though there is some evidence from the notes of Dr. Ezra Abbott, one of the physicians at Lincoln’s bedside, that Tanner might not have been in the Petersen House at the time of Lincoln’s death), and he is cited by Adam Gopnik as claiming that Stanton really said, “Now he belongs to the angels.” “Angels,” however, may only be a mistranscription from an article Tanner wrote before his own death in 1927 and included by Dorothy Meserve Kunhardt and Philip B. Kunhardt in their Twenty Days: A Narrative in Text and Pictures of the Assassination of Abraham Lincoln. [excerpt

Interview with Directors of Stanton Williams

[EN] Interview with the Directors of Stanton Williams: Alan Stanton, Paul Williams, Patrick Richard and Gavin Henderson.[ES] Entrevista con los Directores de Stanton Williams: Alan Stanton, Paul Williams, Patrick Richard y Gavin Henderson.Rettondini, L.; Brito, O. (2018). Entrevista con los Directores de Stanton Williams. EN BLANCO. Revista de Arquitectura. 10(24):8-13. doi:10.4995/eb.2018.9939SWORD813102

Is the Short Rate Drift Actually Nonlinear?

Virtually all existing continuous-time, single-factor term structure models are based on a short rate process that has a linear drift function. However, there is no strong a priori argument in favor of linearity, and Stanton (1997) and Ait-Sahalia (1996) employ nonparametric estimation techniques to conclude that the drift function of the short rate contains important nonlinearities. Comparatively little is known about the finite-sample properties of these estimators, particularly when they are applied to frequent sampling of a very persistent process, like short term interest rates. In this paper, we apply these estimators to simulated sample paths of a square-root diffusion. Although the drift function is linear, both estimators suggest nonlinearities of the type and magnitude reported in by Stanton (1997) and Ait-Sahalia (1996). These results, along with the results of a simple GMM estimation procedure applied to the Stanton and Ait-Sahalia data sets, imply that nonlinearity of the short rate drift is not a robust stylized fact.term structure, continuous-time

Cyclic sieving and cluster multicomplexes

Reiner, Stanton, and White \cite{RSWCSP} proved results regarding the enumeration of polygon dissections up to rotational symmetry. Eu and Fu \cite{EuFu} generalized these results to Cartan-Killing types other than A by means of actions of deformed Coxeter elements on cluster complexes of Fomin and Zelevinsky \cite{FZY}. The Reiner-Stanton-White and Eu-Fu results were proven using direct counting arguments. We give representation theoretic proofs of closely related results using the notion of noncrossing and semi-noncrossing tableaux due to Pylyavskyy \cite{PN} as well as some geometric realizations of finite type cluster algebras due to Fomin and Zelevinsky \cite{FZClusterII}.Comment: To appear in Adv. Appl. Mat

Heat transfer to the highly accelerated turbulent boundary layer with and without mass addition

Heat transfer to highly accelerated turbulent boundary layer using Reynolds number and Stanton numbe

Nonparametric estimation of diffusion process: a closer look

A Monte Carlo simulation is performed to investigate the finite sample properties of a nonparametric estimator, based on discretely sampled observations of continuous-time Ito diffusion process. Chapman and Pearson (2000) studies finite-sample properties of the nonparametric estimator of Aýt-Sahalia (1996) and Stanton (1997) and they find that nonlinearity of the short rate drift is not a robust stylized fact but it’s an artifacts of the estimation procedure. This paper examine the finite sample properties of a different nonparametric estimator within the Stanton (1997)’s framework.ewp-mac/050417

Invariant Theory of finite general linear groups modulo Frobenius powers

We prove some cases of a conjecture of Lewis, Reiner and Stanton regarding Hilbert series corresponding to the action of $Gl_n(\mathbb{F}_q)$ on a polynomial ring modulo Frobenius powers. We also give a few conjectures about the invariant ring for certain cases that we don't prove completely