@article{guingona_kolesnikov_nierwinski_schweitzer_2023, title={Comparing approximate and probabilistic differential privacy parameters}, volume={182}, ISSN={["1872-6119"]}, DOI={10.1016/j.ipl.2023.106380}, abstractNote={This paper compares two notions of differential privacy: approximate differential privacy (ADP) and probabilistic differential privacy (PrDP). It is well-known that the PrDP implies the ADP; and it was established in [7] that the ADP implies the PrDP, after a penalty on the parameters ε and δ that are used in the definitions of both properties. We show that the condition found in [7] is tight: if it fails, we construct a randomized algorithm that has ADP but not PrDP.}, journal={INFORMATION PROCESSING LETTERS}, author={Guingona, Vincent and Kolesnikov, Alexei and Nierwinski, Julianne and Schweitzer, Avery}, year={2023}, month={Aug} }
 @article{brown_gluck_guingona_hammons_parnes_pooley_schweitzer_2023, title={The Brezis-Nirenberg problem for systems involving divergence-form operators}, volume={30}, ISSN={["1420-9004"]}, DOI={10.1007/s00030-023-00882-8}, number={6}, journal={NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS}, author={Brown, Burton and Gluck, Mathew and Guingona, Vince and Hammons, Thomas and Parnes, Miriam and Pooley, Sean and Schweitzer, Avery}, year={2023}, month={Nov} }