368 citations
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- Brookhaven National LaboratoryUS16 papers
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5 papers · 1 filter
Nonlocal potentials for short-range electronic correlation in atoms, molecules, and solids
R. K. Nesbet
Extending density functional theory (DFT) to an {\it ab initio} orbital functional theory (OFT) requires new methodology for nonlocal exchange and correlation potentials. This pape…
Stochastic differential equations with jumps
Richard F. Bass
This paper is a survey of uniqueness results for stochastic differential equations with jumps and regularity results for the corresponding harmonic functions.
On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
Ralph M. Kaufmann
Using a cell model for the little discs operad in terms of spineless cacti we give a minimal common topological operadic formalism for three a priori disparate algebraic structures…
Anomalous Phase Transition in Strained SrTiO Thin Films
Feizhou He, B. O. Wells, S. M. Shapiro +3
We have studied the cubic to tetragonal phase transition in epitaxial SrTiO films under various biaxial strain conditions using synchrotron X-ray diffraction. Measuring the sup…
Pointed Admissible G-Covers and G-equivariant Cohomological Field Theories
Tyler J. Jarvis, Ralph Kaufmann, Takashi Kimura
For any finite group G we define the moduli space of pointed admissible G-covers and the concept of a G-equivariant cohomological field theory (G-CohFT), which, when G is the trivi…