PERIODS OF PERIODIC HOMEOMORPHISMS OF PINCHED SURFACES WITH ONE OR TWO BRANCHING POINTS

Author(s)

Gouveia, Marcio R. A. ^{[1, 2]} ; Llibre, Jaume ^{[1, 3]}

Affiliation

^[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia - Spain

^[2] IBILCE UNESP, Dept Matemat, RUA C COLOMBO 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[3] Gouveia, Marcio R. A., IBILCE UNESP, Dept Matemat, RUA C COLOMBO 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil.Gouveia, Marcio R. A., Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia - Spain

• Document type: Journal article
• Source: HOUSTON JOURNAL OF MATHEMATICS; v. 45, n. 4, p. 1227-1243, 2019.
• Web of Science Citations: 0

Abstract

In this paper we characterize all the possible sets of periods of a periodic homeomorphism defined on compact connected pinched surfaces with one or two branching points. (AU)

• FAPESP's process: 13/24541-0 - Ergodic and qualitative theory of dynamical systems
• Grantee: Claudio Aguinaldo Buzzi
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 13/13344-0 - Existence of periodic orbits using Lefschetz and Nielsen numbers theory
• Grantee: Márcio Ricardo Alves Gouveia
• Support Opportunities: Scholarships abroad - Research