On Nearly Euclidean Thurston Maps

Nearly Euclidean Thurston maps are simple generalizations of rational Lattes maps. A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. We investigate when such a map has the property that the associated pullback map on Teichmuller space is constant. We also show that no Thurston map of degree 2 has constant pullback map.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2012

Author dc:creator

• Saenz Maldonado, Edgar Arturo

Chair dc:contributor.committeechair

• Floyd, William J.

Committee members dc:contributor.committeemember

• Hagedorn, George A.
• Haskell, Peter E.
• Kay, Leslie D.

• nonseparating sets
• constant pullback map
• finite subdivision rules
• Thurston maps

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-05102012-234227

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/27637