Generalized self-energy embedding theory

Ab initio quantum chemistry calculations for systems with large active spaces are notoriously difficult and cannot be successfully tackled by standard methods. In this letter, we generalize a Green's function QM/QM embedding method called self-energy embedding theory (SEET) that has the potential to be successfully employed to treat large active spaces. In generalized SEET, active orbitals are grouped into intersecting groups of few orbitals allowing us to perform multiple parallel calculations yielding results comparable to the full active space treatment. We examine generalized SEET on a series of examples and discuss a hierarchy of systematically improvable approximations

Variants of geometric RSK, geometric PNG and the multipoint distribution of the log-gamma polymer

We show that the reformulation of the geometric Robinson-Schensted-Knuth (gRSK) correspondence via local moves, introduced in \cite{OSZ14} can be extended to cases where the input matrix is replaced by more general polygonal, Young-diagram-like, arrays of the form \polygon. We also show that a rearrangement of the sequence of the local moves gives rise to a geometric version of the polynuclear growth model (PNG). These reformulations are used to obtain integral formulae for the Laplace transform of the joint distribution of the point-to-point partition functions of the log-gamma polymer at different space-time points. In the case of two points at equal time $N$ and space at distance of order $N^{2/3}$, we show formally that the joint law of the partition functions, scaled by $N^{1/3}$, converges to the two-point function of the Airy processComment: 44 pages. Proposition 3.4 and Theorem 3.5 are now stated in a more general form and some more minor changes are made (most of them following suggestions by a referee). To appear at IMR

“What I have learned about ethnic studies is to love myself more”: A Look at Culturally Sustaining Pedagogy and Newcomer Students

Throughout American history, schooling has been used as a tool of settler colonialism, hegemony, and white supremacy. This process of utilizing schooling as a tool of domination has been labeled by theorists as “miseducation”. To attempt to combat the miseducation that students experience in their schooling, I implemented culturally sustaining pedagogy, which necessitates the maintenance and strengthening of students’ relationships with their cultures in schools. In my project, I focused on newcomer students, as immigrant students are often the most underserved population in schools, and also are the most vulnerable to assimilationist teachings. This project utilized classroom observations, student work, and qualitative interviews with students to examine what I observed as I implemented culturally sustaining pedagogies with newcomer students to foster positive self-identity and belonging

Some solutions to respond climate change for the Mekong Delta, Viet Nam

In the recent decades, the Mekong River Delta has suffered quite significant impacts of climate change. Fluctuations of weather elements and sea level rises have caused adverse changes, namely: the appearance of unusual high and low levels of annual floods, more and more intense storms, more severe droughts, forest fires, river erosion, cyclones, and tidal surges appear increasingly more dangerous. Traditional adaptation measures to the environmental conditions may be unsuitable in the context of climate change in the Mekong River Delta. This paper summarizes some of the new adaptation measures that scientists and policy planners have proposed for the area to cope with the negative impacts of climate change