About the Authors

Cheng Ly

chengly@math.pitt.edu (CL); bdoiron@math.pitt.edu (BD)

Affiliation Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, United States of America

Brent Doiron

chengly@math.pitt.edu (CL); bdoiron@math.pitt.edu (BD)

Affiliation Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Wrote the paper: CL BD.