Publications

Journal Articles

  1. Tucker, J., Beggs, E., Cortez, P., Costa, F. Classifying the computational power of stochastic physical oracles International Journal of Unconventional Computing 14 1 59 90
  2. Beggs, E., Majid, S. Quantum bianchi identities via DG categories Journal of Geometry and Physics 124 350 370
  3. Beggs, E., Majid, S. Spectral triples from bimodule connections and Chern connections Journal of Noncommutative Geometry 11 2 669 701
  4. Beggs, E., Majid, S. Quantum Riemannian geometry of phase space and nonassociativity Demonstratio Mathematica
  5. Beggs, E., COSTA, J., POÇAS, D., Tucker, J. Computations with oracles that measure vanishing quantities Mathematical Structures in Computer Science 1 49
  6. Beggs, E., Majid, S. Poisson-Riemannian geometry Journal of Geometry and Physics
  7. Beggs, E., Beggs, E. Differential and holomorphic differential operators on noncommutative algebras Russian Journal of Mathematical Physics 22 3 279 300
  8. Costa, F., Beggs, E., Tucker, J. Three forms of physical measurement and their computability The Review of Symbolic Logic 7 4 618 646
  9. Beggs, E., Majid, S. Gravity induced from quantum spacetime Classical and Quantum Gravity 31 3 035020
  10. Beggs, E., COSTA, J., POÇAS, D., Tucker, J. AN ANALOGUE-DIGITAL CHURCH-TURING THESIS International Journal of Foundations of Computer Science 25 04 373 389
  11. Beggs, E., Brzeziński, T., Beggs, E., Brzezinski, T. Noncommutative differential operators, Sobolev spaces and the centre of a category Journal of Pure and Applied Algebra 218 1 1 17
  12. Beggs, E., Brzeziński, T., Brzezinski, T. Line bundles and the Thom construction in noncommutative geometry Journal of Noncommutative Geometry 8 1 61 105
  13. Beggs, E., Paul Smith, S. Non-commutative complex differential geometry Journal of Geometry and Physics 72 7 33
  14. Beggs, E., Majid, S., Beggs, E. * -compatible connections in noncommutative Riemannian geometry Journal of Geometry and Physics 61 1 95 124
  15. Beggs, E., Majid, S. Nonassociative Riemannian geometry by twisting Journal of Physics: Conference Series 254 012002
  16. Beggs, E., COSTA, J., Tucker, J. Limits to measurement in experiments governed by algorithms Mathematical Structures in Computer Science 20 06 1019 1050
  17. Beggs, E., Majid, S., Beggs, E. Quantization by cochain twists and nonassociative differentials Journal of Mathematical Physics 51 5 053522
  18. Beggs, E., Costa, J., Tucker, J. Physical Oracles: The Turing Machine and the Wheatstone Bridge Studia Logica
  19. Beggs, E., Majid, S., Beggs, E. Bar Categories and Star Operations Algebras and Representation Theory 12 2-5 103 152
  20. Beggs, E., Tucker, J., Beggs, E., Tucker, J. Computations via Newtonian and relativistic kinematic systems Applied Mathematics and Computation 215 4 1311 1322
  21. Beggs, E., Costa, J., Tucker, J. Physical experiments as oracles Bull. Eur. Assoc. Theor. Comput. Sci. EATCS 97 137 151
  22. Beggs, E., Costa, J., Loff, B., Tucker, J., Beggs, E., Tucker, J. Computational complexity with experiments as oracles. II. Upper bounds Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465 2105 1453 1465
  23. Beggs, E., Brzeziński, T., Brzezinski, T. An Explicit Formula for a Strong Connection Applied Categorical Structures 16 1-2 57 63
  24. Beggs, E., Costa, J., Loff, B., Tucker, J. Computational complexity with experiments as oracles Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464 2098 2777 2801
  25. Beggs, E., Taft, E., Beggs, E. Products of linear maps on bialgebras, with applications to left Hopf algebras and Hopf algebroids 3511 3523
  26. Beggs, E., Brzeziński, T., Brzezinski, T. The serre spectral sequence of a noncommutative fibration for de Rham cohomology Acta Mathematica 195 2 155 196
  27. Beggs, E. Making non-trivially associated tensor categories from left coset representatives Journal of Pure and Applied Algebra 177 1 5 41

Book Chapters

  1. Beggs, E., Cortez, P., Costa, F., Tucker, J. A hierarchy for BPP//log* based on counting calls to an oracle (Ed.), Emergent Computation 39 56 Springer
  2. Ambaram, T., Beggs, E., Félix Costa, J., Poças, D., Tucker, J. An Analogue-Digital Model of Computation: Turing Machines with Physical Oracles (Ed.), Advances in Unconventional Computing 115
  3. Beggs, E., Costa, J., Loff, B., Tucker, J. On the Complexity of Measurement in Classical Physics (Ed.), Theory and Applications of Models of Computation 20 30
  4. Beggs, E., Tucker, J., Beggs, E. Programming Experimental Procedures for Newtonian Kinematic Machines (Ed.), Logic and Theory of Algorithms 52 66
  5. Beggs, E., Costa, J., Tucker, J. Computational Models of Measurement and Hempel’s Axiomatization (Ed.), Causality, Meaningful Complexity and Embodied Cognition 155 183