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Nonlinear potential theory and elliptic regularity theory are two classical topics in the modern analysis of partial differential equations. In this talk I show how these themes merge to solve the lon...
I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa and stable pair invariants on compact Calabi-Yau 4-folds. For non-compact CY4...
The quest for accurate exchange-correlation functionals has long remained a grand challenge in density functional theory (DFT), as it describes the many-electron quantum mechanical behavior through a ...
Ecological functions of a black alder riparian forest (Aegopodio-Alnetum glutinosae) as capacities for the provision of ecosystem services were analysed and indicated by an inductive (bottom-up) appro...
Genes, behaviour, and the environment are known to be the major risk factors for common diseases. When the patient visits a physician, typical questions include family history (genes) and lifestyle of...
Apart from the drive to reduce carbon dioxide emissions by carbon-intensive economies like South Africa, the recent spate of electricity load shedding across most part of the country, including Cape T...
The paper presents an example of the application of the landscape functions and natural potentials methodology to the environmental assessment in the upland area of Pradnik and Dlubnia rivers catchmen...
Recent studies have identified neural correlates of language effects on perception in static domains of experience such as colour and objects. The generalization of such effects to dynamic doma...
We investigated whether brain potentials of grammatical aspect processing resemble semantic or morpho-syntactic processing, or whether they instead are characterized by an entirely distinct pattern ...
Consider a point mass falling vertically on an infinitely heavy horizontal plate which oscillates periodically with period 2π in the vertical direction and interacts with the particle by the l...
Cultural Heritage is known as an invaluable asset of human being, which portrays his achievements over centuries. The need for identification and preservation of cultural heritage is well understood ...
Previous research has shown that neural responses to words during sentence comprehension are sensitive to both lexical repetition and a word’s predictability in context. While previous research has o...
In this paper, we prove a differential Harnack inequality for positive solutions of time-dependent heat equations with potentials. We also prove a gradient estimate for the positive solution o...
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities for positive solutions of backward hea...
We used event-related potentials (ERPs) to investigate the time course and distribution of brain activity while adults performed (1) a sequential learning task involving complex structured sequences...

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