This article is an autoethnography of one African American female educator. It is the story of her social justice disposition development to teach White students after graduation from a Historically Black University (HBCU). Revealed is the personal journey of her racial identity development before attending the HBCU and the irony of the relational and institutional impact attending one southeastern HBCU had on her preparation to teach. The initial research and inquiry was to explore how attending an HBCU impacted both Black and White education graduates' social justice disposition development to teach in multicultural classrooms. From this inquiry it became clear that as a faculty member of the HBCU and an instructor in the Education Preparation Program, this African American educator had to first reflect on who she is racially, resurrecting her lived experiences from her family background within her community and the background of her early education preparation in order to make an impact on education graduates' social justice lens. This article reviews her racial and social justice development before attending the HBCU, during matriculation, and after attending the HBCU. It journals the journey of one African American female's path to her pedagogy and her level of consciousness to teach students who were different from herself. HBCUs have long been recognized for their mission and rich legacy of providing education for African American students. These Black colleges and universities have been the heart of Black racial identity development with their distinctiveness and unique ability to raise cultural awareness of Black students. The level of awareness has traditionally been for HBCUs to prepare Black students to go out into the Black

It is shown that any infinitely divisible distribution on R + gives rise to a class of increasing additive processes we call C-additive processes, where C is a continuous semigroup of cumulant generating functions. The marginal and increment distributions of these pocesses are characterized in terms of their Lvy measure and their drift coefficient. Integral representations of C-additive processes in terms of a Poisson random measure are obtained. The limiting behavior (as t ) of two subclasses of C-additive processes leads to new characterizations of C-selfdecomposable and C-stable distributions on R + .

In this paper, we are concerned with the nonparametric estimation of an unknown density under censoring. Firstly, we propose a recursive kernel density estimators under censoring, based on a stochastic approximation algorithm. Then, we showed that our recursive estimator is consistent and asymptotically normally distributed. Moreover, we describe and investigate a data-driven bandwidth selection procedure based on normal pilot bandwidth reference distributions. We showed that the proposed recursive estimators can be better than the non-recursive in terms of estimation error and much better in terms of computational costs. We corroborated these theoretical results through a simulation study and on Malaria in Senegalese children dataset.

We investigate the spectrum of the generator of a self-adjoint transition semigroup of a (symmetric) Lévy process taking values in $d$--dimensional space.

We derive a normally ordered disentanglement or splitting formula for exponentials of the infinite-dimensional Schrdinger Lie algebra generators. As an application we compute the vacuum characteristic function of a quantum random variable defined as a self-adjoint finite sum of Fock space operators, satisfying the multi-dimensional Schrdinger Lie algebra commutation relations.

Spying on the South juxtaposes two intervals when the United States appeared to have fractured into hostile tribes. Writer and journalist Tony Horwitz set out to probe today’s “American divide” with a template in mind—the effort by Frederick Law Olmsted to comprehend North-South antagonisms during the 1850s. Just as Olmsted once had done, Horwitz decided to head South.

Author and historian/folklorist Zora Neale Hurston, who died in obscurity in 1960, is back on the bookshelves in a significant way. Her first book, Barracoon, has finally been published. She completed the work in 1931 but could never interest publishers in the true saga of Cudjo Lewis, thought to be the last living person enslaved in Africa and transported to the United States by the slave ship Clotilda. Part of the reason the book encountered obstacles was the inclusion of dialect in Hurston's interviews with Kossula, Lewis's African name. Another part was the topic itself. Not only is the slave trade discussed in great detail, but the responsibility of initial captures of Africans by the Dahomey is clearly outlined: black Africans captured and sold other black Africans to European slave traders for profit.

We consider a backward stochastic differential equation with a generator that can be subjected to delay, in the sense that its current value depends on the weighted past values of the solutions, for instance a distorted recent average. Existence and uniqueness results are provided in the case of possibly infinite time horizon for equations with, and without reflection. Furthermore, we show that when the delay vanishes, the solutions of the delayed equations converge to the solution of the equation without delay. We argue that these equations are naturally linked to forward backward systems, and we exemplify a situation where this observation allows to derive results for quadratic delayed equations with non-bounded terminal conditions in multi-dimension.

In this paper we consider a strong random operator $T_t$ which describes shift of functions from $L_2(\mathbb{R})$ along an Arratia flow. We find a compact set in $L_2(\mathbb{R})$ that doesn't disappear under $T_t$, and estimate its Kolmogorov widths.

We show that for any fixed θ ∈ (-π 2 , 0) ∪ (0, π 2 ), the complex Ornstein-Uhlenbeck operator