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Author Title Type [ Year(Desc)]
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1996
D. Bao and Lackey, B., “Special eigenforms on the sphere bundle of a Finsler manifold”, Contemporary Mathematics, vol. 196, pp. 67–78, 1996.
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.
1998
B. Lackey, “A Bochner Vanishing Theorem for Elliptic Complexes”, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 199–226.
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 Lichnerowicz Vanishing Theorem for Finsler Spaces”, in The Theory of Finslerian Laplacians and Applications, Springer, 1998, pp. 227–243.
1999
D. Bao and Lackey, B., “Randers surfaces whose Laplacians have completely positive symbol”, Nonlinear Analysis: Theory, Methods & Applications, vol. 38, pp. 27–40, 1999.
B. Lackey, “A model of trophodynamics”, Nonlinear Analysis: Theory, Methods & Applications, vol. 35, pp. 37–57, 1999.
J. D. E. Grant and Lackey, B., “On Galilean connections and the first jet bundle”, 1999.
2000
B. Lackey, “Metric Equivalence of Path Spaces”, Nonlinear Studies, vol. 7, no. 2, 2000.
2002
B. Lackey, “On the Gauss–Bonnet Formula in Riemann–Finsler Geometry”, Bulletin of the London Mathematical Society, vol. 34, pp. 329–340, 2002.
2012
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.
2014
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.
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.
M. Jarret, Jordan, S. P., and Lackey, B., “Adiabatic optimization versus diffusion Monte Carlo”, Physical Review A, vol. 94, p. 042318, 2016.
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.
2017
B. Lackey, “Penalty models for bitstrings of constant Hamming weight”, 2017.
M. Jarret and Lackey, B., “Substochastic Monte Carlo Algorithms”, 2017.
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.
B. Lackey and Rodrigues, N., “Nonlocal games, synchronous correlations, and Bell inequalities”, 2017.
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.
2018
B. Lackey, “A belief propagation algorithm based on domain decomposition”, 2018.
A. Sundaram and Lackey, B., “Mathematical methods for resource-based type theories”, 2018.
B. Lackey and Rodrigues, N., “Morphisms in categories of nonlocal games”, 2018.
M. Jarret, Lackey, B., Liu, A., and Wan, K., “Quantum adiabatic optimization without heuristics”, 2018.
2021
N. Rodrigues and Lackey, B., “Quantum Lattice Sieving”, 2021.