{"ID":2842270,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.10293","arxiv_id":"2511.10293","title":"Zeroes and Extrema of Functions via Random Measures","abstract":"We present methods that provide all zeroes and extrema of a function that do not require differentiation. Using point process theory, we are able to describe the locations of zeroes or maxima, their number, as well as their distribution over a given window of observation. The algorithms in order to accomplish the theoretical development are also provided, and they are exemplified using many illustrative examples, for real and complex functions.","short_abstract":"We present methods that provide all zeroes and extrema of a function that do not require differentiation. Using point process theory, we are able to describe the locations of zeroes or maxima, their number, as well as their distribution over a given window of observation. The algorithms in order to accomplish the theor...","url_abs":"https://arxiv.org/abs/2511.10293","url_pdf":"https://arxiv.org/pdf/2511.10293v3","authors":"[\"Athanasios Christou Micheas\"]","published":"2025-11-13T13:30:15Z","proceeding":"stat.ME","tasks":"[\"stat.ME\",\"math.OC\",\"stat.CO\"]","methods":"[]","has_code":false}