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At DSI, I am collaborating with Internet Innovation initiative to understand changes in the broadband measurement parameters.
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My doctoral work had two major components:
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Constructing a robust theoretical framework to explain the long-term dynamics of the extensively studied Hénon-Heiles system
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Extending the application of Plemelj’s formulas from Hölder continuous functions to the broader domain of Dini continuous functions and studying the domain of existence of Cauchy P.V. integrals.
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Research Papers:
- On the pointwise existence of Cauchy P.V. integrals, with N. Castillo and O. Costin
- Long time evolution of the Hénon-Heiles system for small energy, , with O. Costin and R. Costin