Grants per year

## Personal profile

### Research Interests

Dynamical Systems.

### Education/Academic qualification

PhD, University of California, Berkeley

… → 1968

MA, University of California, Berkeley

… → 1968

BA, Rice University

… → 1965

## Fingerprint Dive into the research topics where John M Franks is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 4 Similar Profiles

Diffeomorphisms
Mathematics

Diffeomorphism
Mathematics

Periodic Points
Mathematics

Fixed point
Mathematics

Subgroup
Mathematics

Rotation number
Mathematics

Group Action
Mathematics

Entropy
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Grants 2001 2013

- 4 Finished

## Emphasis Year in Dynamic Systems at Northwestern University

Burns, K. H., Franks, J. M., Kra, B. R. & Xia, Z.

7/1/10 → 6/30/12

Project: Research project

## Research Output 1969 2019

1
Citation
(Scopus)

## The spacetime of a shift endomorphism

Cyr, V., Franks, J. M. & Kra, B. R., Jan 1 2019, In : Transactions of the American Mathematical Society. 371, 1, p. 461-488 28 p.Research output: Contribution to journal › Article

Endomorphism

Automorphism

Automorphism Group

Entropy

Space-time

## Rotation numbers for S^{2} diffeomorphisms

Franks, J. M., Jan 1 2017, *Contemporary Mathematics.*American Mathematical Society, Vol. 692. p. 101-110 10 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Rotation number

Diffeomorphism

Homeomorphism

Diffeomorphisms

Assign

## Zero entropy subgroups of mapping class groups

Franks, J. M. & Parwani, K., Feb 1 2017, In : Geometriae Dedicata. 186, 1, p. 27-38 12 p.Research output: Contribution to journal › Article

Mapping Class Group

Pseudo-Anosov

Entropy

Subgroup

Finite Set

6
Citations
(Scopus)

## Entropy zero area preserving diffeomorphisms of S^{2}

Franks, J. M. & Handel, M., Jan 16 2013, In : Geometry and Topology. 16, 4, p. 2187-2284 98 p.Research output: Contribution to journal › Article

Diffeomorphisms

Mapping Class Group

Entropy

Zero

Subgroup

1
Citation
(Scopus)

## Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface

Franks, J. M. & Handel, M., Dec 24 2013, In : Journal of Modern Dynamics. 7, 3, p. 369-394 26 p.Research output: Contribution to journal › Article

Diffeomorphisms

Subgroup

Centralizer

Genus

Corollary