PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 24, 2026Ergodic Theory and Dynamical Systems0 citationsOpen Access

On mixing flows on finite-area translation surfaces

EHERICK GORDILLO HERRERÍAS

Key Points

  • The aim is to find explicit examples of finite-area translation surfaces with strongly mixing vertical flows.
  • Constructed an explicit family of translation surfaces
  • Focused on finite-area and infinite-genus structures
  • Demonstrated strong mixing properties of the vertical translation flow.
  • Provided a positive answer to the mixing question posed by Lindsey and Treviño
  • Showed that the constructed surfaces maintain strong mixing behavior under vertical flow.

Abstract

Abstract We construct an explicit family of finite-area, infinite-genus translation surfaces whose vertical translation flow is strongly mixing. This provides a positive answer to a question posed by Lindsey and Treviño Discrete Contin. Dyn. Syst. 36 (10) (2016), 5509–5553.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

ERICK GORDILLO HERRERÍAS (2026) studied this question.

synapsesocial.com/papers/6a12969d48a0ea166567391chttps://doi.org/10.1017/etds.2026.10306
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Continuous family of surfaces translating by powers of Gauss curvature2024
  2. 2Stretched-exponential mixing for surface semiflows and Anosov flows2024
  3. 3Exponential mixing of frame flows for three dimensional manifolds of quarter-pinched negative curvature2025
  4. 4Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors2024 · 4 citations
  5. 5Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing2024