{ "id": "2104.12936", "version": "v1", "published": "2021-04-27T01:48:38.000Z", "updated": "2021-04-27T01:48:38.000Z", "title": "Lyapunov Exponents of variations of Hodge structures with $G_2$ monodromy", "authors": [ "Genival da Silva Jr" ], "categories": [ "math.AG", "math.DS" ], "abstract": "We investigate the Lyapunov Exponents of a variation of Hodge structure which has $G_2$ as geometric monodromy group, and discuss formulas for the sum of positive Lyapunov Exponents of variations of Hodge structures of any weight.", "revisions": [ { "version": "v1", "updated": "2021-04-27T01:48:38.000Z" } ], "analyses": { "keywords": [ "hodge structure", "geometric monodromy group", "positive lyapunov exponents" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }