{
  "abstract": "We consider a infinite line of traffic lights, with equidistance 1, and 1-periodic in time. They are red during a period of time equal to θ ∈ [0, 1] and green during a period of time 1 -θ. The offset between two consecutive traffic lights is fixed to φ ∈ R. Given a convex Hamiltonian H, we compute by homogenization the effective Hamiltonian H associated to the infinite line of traffic lights. Using optimal control arguments, we get an explicit formula for the effective Hamiltonian. Our approach is geometric and is based on calculus of variations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Ali Assi"
    },
    {
      "name": "Nicolas Forcadel"
    },
    {
      "name": "Regis Monneau"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/21gndxtwg2t9j.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "21gndxtwg2t9j",
  "issns": [],
  "landing_url": "https://hal.science/hal-05837656v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05837656/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/21gndxtwg2t9j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "hal-05837656",
      "source": "hal",
      "url": "https://hal.science/hal-05837656v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Green Waves II: a variational approach to homogenization of lines of traffic lights (preliminary version)",
  "title_text": "Green Waves II: a variational approach to homogenization of lines of traffic lights (preliminary version)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/21gndxtwg2t9j",
  "venue": "HAL",
  "versions": []
}