| Title | The Centre Holds |
|---|---|
| Contributor | David H. Silver(author) |
| DOI | https://doi.org/10.11647/OBP.0526.33 |
| Landing page | https://www.openbookpublishers.com/books/10.11647/obp.0526/chapters/10.11647/obp.0526.33 |
| License | https://creativecommons.org/licenses/by-nc/4.0/ |
| Copyright | David H. Silver |
| Publisher | Open Book Publishers |
| Published on | 2026-04-08 |
| Long abstract | A geometric puzzle about Gaussian probability stumped mathematicians for over 60 years: prove that convex sets that are symmetric around the origin have enhanced overlap under Gaussian measure — that P(A ∩ B) ≥ P(A) · P(B). Despite partial results for boxes, ellipsoids, and slabs, the general case resisted all attempts. In 2014, Thomas Royen, a retired pharmaceutical statistician from a small German university, solved it using textbook methods: transforming to squared variables, applying Laplace transforms, and checking matrix determinants. His proof, published in an obscure journal, went unnoticed for years. |
| Print length | 10 pages |
| Language | English (Original) |
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| Landing Page | Full text URL | Platform | |||
|---|---|---|---|---|---|
| https://www.openbookpublishers.com/books/10.11647/obp.0526/chapters/10.11647/obp.0526.33 | Landing page | https://books.openbookpublishers.com/10.11647/obp.0526.33.pdf | Full text URL |
David H. Silver is an industrial researcher whose career bridges computer vision, computational biology, and science communication. He studied mathematics, computer science, and biology at the Technion — Israel Institute of Technology as a Rothschild Scholar, and was awarded a Microsoft Research PhD Fellowship for his doctoral work in computational biology at Cambridge, UK. Silver’s peer-reviewed publications span multiple domains: computational biology in Nature and PNAS; computer vision systems in IEEE Transactions on Pattern Analysis and Machine Intelligence; medical AI in Human Reproduction and MIDL; and entertainment analysis in PLoS One. He holds over a dozen patents in depth sensing, medical imaging, and generative AI. His industry positions include Algorithm Engineer at Intel Corporation, ML Researcher at Apple, and CTO/co-founder roles at several technology startups. Silver maintains academic collaborations with researchers worldwide and serves as a peer reviewer for Image and Vision Computing and PNAS.