Advances in the Mathematical Sciences

Presenting the latest findings in topics from across the mathematical spectrum, this volume includes results in pure mathematics along with a range of new advances and novel applications to other fields such as probability, statistics, biology, and computer science. All contributions feature authors who attended the Association for Women in Mathematics Research Symposium in 2015: this conference, the third in a series of biennial conferences organized by the Association, attracted over 330 participants and showcased the research of women mathematicians from academia, industry, and government.

Contenu
Preface.- Floer field philosophy (K. Wehrheim).- An elementary fact about unlinked braid closures (E. Grigsby & S. M. Wehrli).- Symmetric unions without cosmetic crossing changes (A. H. Moore).- The total ThurstonBennequin number of complete bipartite Legendrian graphs (D. O'Donnol and E. Pavelescu).- Coverings of open books (T. Ito and K. Kawamuro).- Understanding locomotor rhythm in the lamprey central pattern generator (N. Massarelli, A. Yau, K. Hoffman, T. Kiemel and E. Tytell).- Applications of knot theory: using knot theory to unravel biochemistry mysteries (C. R. Price).- Metapopulation and non-proportional vaccination models overview (M. Cruz-Aponte).- Controlling a cockroach infestation (H. Albert, A. Buchmann, L. Ohm, A. Radunskaya, and E. Swanson).- The impact of violence interruption on the diffusion of violence: a mathematical modeling approach (S. A. Wiley, M. Z. Levy, and C. C. Branas).- Cramér's theorem is atypical (N. Gentert, S. Kim, and K. Ramanan).- Counting and partition function analysis for subordinate killed Brownian motion (S. Bryant).- A statistical change point analysis approach for modeling the ratio of next generation sequencing reads (J. Chen and H. Li).- A center-level approach to estimating the effect of center characteristics on center outcomes (J. Le-Rademacher).- False discovery rate based on extreme values in high dimension (J. Park, D. Park, and J. W. Davis).- Asymptotic and oscillatory behavior of dynamic equations on time scales (R. Higgins).- Using applications to motivate the learning of differential equations (K. M. Bliss & J. M. Libertini).- What is a good question? (B. Servatius).- Information measures of frequency distributions with an application to labeled graphs (C. Joslyn & E. Purvine).- Integrating and sampling cuts in bounded treewidth graphs (I. Bezáková, E. W. Chambers, and K. Fox).- Considerations on the implementation and use of Anderson acceleration on distributed memory and GPU-based parallel computers (J. Loffeld & C. S. Woodward).