Peer-Reviewed Publications
- Yves van Gennip, Nestor Guillen, Braxton Osting, and Andrea Bertozzi, Diffusion generated motion, phase field theory, and the notion of mean curvature flow on finite graphs, in preparation (2013).
- A. Hanan Sheinfux, Mikael C. Rechtsman, Braxton Osting, Jeremy Marzuola, and Moti Segev, Soliton dynamics in a diffracting trapping potential, submitted (2013).
- B. Osting and C.-Y. Kao, Minimal convex combinations of three sequential Laplace-Dirichlet eigenvalues, submitted (2012). [pdf]
- B. Osting and M. I. Weinstein, Long-lived scattering resonances and Bragg structures, accepted to SIAM J. Applied Math. (2013). [link]
- D. Barrow, I. Drayer, P. Elliott, G. Gaut, and B. Osting, Ranking rankings: an empirical comparison of the predictive power of sports ranking methods, accepted Journal of Quantitative Analysis in Sports (2013). [pdf]
- B. Osting, C. Brune, and S. Osher, Enhanced statistical rankings via targeted data collection, JMLR, W&CP 28 (1): 489–497, (2013). [link]
- B. Osting, C. Brune, and S. Osher, Optimal data collection for improved rankings expose well-connected graphs, submitted (2012). [pdf]
- B. Osting and C.-Y. Kao, Minimal convex combinations of sequential Laplace-Dirichlet eigenvalues, submitted (2012). [pdf]
- B. Osting, J. Darbon, and S. Osher, Statistical ranking using the l1-norm on graphs, accepted to AIMS J. Inverse Problems and Imaging (2013). [pdf]
- B. Osting, Bragg structure and the first spectral gap, Applied Mathematics Letters, 25 (2012), no. 11, 1926-1930. [link]
- H. S. Bhat and B. Osting, Two-dimensional inductor-capacitor lattice synthesis, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 30 (2011), no. 10, 1483-1492. [link] [pdf]
- H. S. Bhat and B. Osting, Kirchhoff's laws as a finite volume method for a planar Maxwell system, IEEE Transactions on Antennas and Propagation, 59 (2011) no. 10, 3772-3779. [link] [pdf] [code]
- B. Osting and M. I. Weinstein, Emergence of periodic structure from maximizing the lifetime of a bound state coupled to radiation, SIAM J. Multiscale Model. Simul., 9 (2011) no. 2, 654-685. [link] [pdf]
- B. Osting, Optimization of spectral functions of Dirichlet-Laplacian eigenvalues. J. Comp. Phys., 229 (2010) no. 22, 8578-8590. [link] [pdf]
- A. Ying, B. Osting., I. C. Noyan, C. E. Murray, M. Holt, and J. Maser, Modeling kinematical x-ray diffraction excited by a coherent nanobeam, J. Applied Crystallography, 43 (2009) 587-595. [link] [pdf]
- H. S. Bhat and B. Osting, Diffraction on the two-dimensional square lattice, SIAM J. Applied Math., 70 (2009), no. 5, 1389–1406. [link] [pdf] [code]
- H. S. Bhat and B. Osting, Discrete diffraction in two-dimensional transmission line metamaterials, Microwave and Optical Technology Letters, 52 (2009) no. 3, 721-725. [link] [pdf]
- H. S. Bhat and B. Osting, The zone boundary mode in periodic nonlinear electrical lattices, Physica D , 238 (2009), 1216–1228. [link] [pdf]
- B. Osting and H. S. Bhat, Dispersive diffraction in a two-dimensional hexagonal transmission lattice, ISAP Conference Proceedings, Taipei, Taiwan, (2008). [pdf]
- H. S. Bhat and B. Osting, Thin slit diffraction in conventional and dual composite right/left-handed transmission line metamaterials, APMC Conference Proceedings, Hong Kong, (2008). [link] [pdf]
- B. Osting, S. E. Hewitt, and J. N. Kutz, The dynamics of the optical parametric oscillator near resonance detuning, Nonlinear Guided Waves and Their Applications Dresden, Germany, (2005).
- B. Osting, S. E. Hewitt, and J. N. Kutz, Stability and dynamics of transverse field structures in the optical parametric oscillator near resonance signal detuning, J. Phys. B: At. Mol. Opt. Phys., 38 (2005), 3461–3475. [link] [pdf]