Publications

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Journal Article
M. Jarret and Lackey, B., Substochastic Monte Carlo Algorithms, 2017.
D. Bao and Lackey, B., Special eigenforms on the sphere bundle of a Finsler manifold, Contemporary Mathematics, vol. 196, pp. 67–78, 1996.
A. Perdomo-Ortiz, Feldman, A., Ozaeta, A., Isakov, S. V., Zhu, Z., O'Gorman, B., Katzgraber, H. G., Diedrich, A., Neven, H., de Kleer, J., Lackey, B., and Biswas, R., On the readiness of quantum optimization machines for industrial applications, 2017.
D. Bao and Lackey, B., Randers surfaces whose Laplacians have completely positive symbol, Nonlinear Analysis: Theory, Methods & Applications, vol. 38, pp. 27–40, 1999.
M. Jarret, Lackey, B., Liu, A., and Wan, K., Quantum adiabatic optimization without heuristics, 2018.
B. Lackey, Penalty models for bitstrings of constant Hamming weight, 2017.
B. Lackey and Rodrigues, N., Nonlocal games, synchronous correlations, and Bell inequalities, 2017.
B. Lackey and Rodrigues, N., Morphisms in categories of nonlocal games, 2018.
B. Lackey, A model of trophodynamics, Nonlinear Analysis: Theory, Methods & Applications, vol. 35, pp. 37–57, 1999.
B. Lackey, Metric Equivalence of Path Spaces, Nonlinear Studies, vol. 7, no. 2, 2000.
A. Sundaram and Lackey, B., Mathematical methods for resource-based type theories, 2018.
Z. Bian, Chudak, F., Israel, R. Brian, Lackey, B., Macready, W. G., and Roy, A., Mapping contrained optimization problems to quantum annealing with application to fault diagnosis, Frontiers in ICT, vol. 3, p. 14, 2016.
Z. Bian, Chudak, F., Israel, R., Lackey, B., Macready, W. G., and Roy, A., Mapping constrained optimization problems to quantum annealing with application to fault diagnosis, 2016.
D. Bao and Lackey, B., A Hodge decomposition theorem for Finsler spaces, Comptes rendus de l'Académie des sciences. Série 1, Mathématique, vol. 323, pp. 51–56, 1996.
B. Lackey, On the Gauss–Bonnet Formula in Riemann–Finsler Geometry, Bulletin of the London Mathematical Society, vol. 34, pp. 329–340, 2002.
J. D. E. Grant and Lackey, B., On Galilean connections and the first jet bundle, 1999.
J. DE Grant and Lackey, B., On Galilean connections and the first jet bundle, Central European Journal of Mathematics, vol. 10, pp. 1889–1895, 2012.
N. Bao, Bousso, R., Jordan, S. P., and Lackey, B., Fast optimization algorithms and the cosmological constant, Physical Review D, vol. 96, no. 10, p. 103512, 2017.
Z. Bian, Chudak, F., Israel, R., Lackey, B., Macready, W. G., and Roy, A., Discrete optimization using quantum annealing on sparse Ising models, Frontiers in Physics, vol. 2, p. 56, 2014.
B. Lackey, A belief propagation algorithm based on domain decomposition, 2018.
M. Jarret, Jordan, S. P., and Lackey, B., Adiabatic optimization versus diffusion Monte Carlo, Physical Review A, vol. 94, p. 042318, 2016.
Book Chapter
B. Lackey, A Lichnerowicz Vanishing Theorem for Finsler Spaces, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 227–243.
D. Bao and Lackey, B., A geometric inequality and a Weitzenboeck formula for Finsler surfaces, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 245–275.
B. Lackey, A Bochner Vanishing Theorem for Elliptic Complexes, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 199–226.