Doi-Peliti Path Integral Methods
Vastola, J. J. (2019). Solving the chemical master equation for monomolecular reaction systems analytically: a Doi-Peliti path integral view. Retrieved from http://arxiv.org/abs/1911.00978
Greenman CGreenman, C. D. (2019). Duality relations between spatial birth-death processes and diffusions in Hilbert space.
Smith, E., & Krishnamurthy, S. (2018). Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes. Retrieved from https://arxiv.org/pdf/1806.02001.pdf
Greenman, C. D. (2018). Doi–Peliti path integral methods for stochastic systems with partial exclusion. Physica A: Statistical Mechanics and Its Applications, 505, 211–221. https://doi.org/10.1016/j.physa.2018.03.045
Smith, E., & Krishnamurthy, S. (2017). Flows, scaling, and the control of moment hierarchies for stochastic chemical reaction networks, 2–12. Retrieved from http://arxiv.org/abs/1706.08386
Piñero, J., & Solé, R. (2015). Field theory of molecular cooperators, 9. Retrieved from http://arxiv.org/abs/1508.01422
Smith, E. (2011). Large-deviation principles, stochastic effective actions, path entropies, and the structure and meaning of thermodynamic descriptions. Reports on Progress in Physics, __74__(4), 046601. https://doi.org/10.1088/0034-4885/74/4/046601
Dodd, P. J., & Ferguson, N. M. (2009). A many-body field theory approach to stochastic models in population biology. PloS One, __4__(9), e6855. https://doi.org/10.1371/journal.pone.0006855
Champagnat, N., Ferrière, R., & Méléard, S. (2006). Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models. Theoretical Population Biology, __69__(3), 297–321. https://doi.org/10.1016/j.tpb.2005.10.004
Täuber, U. C., Howard, M., & Vollmayr-Lee, B. P. (2005). Applications of field-theoretic renormalization group methods to reaction–diffusion problems. Journal of Physics A: Mathematical and General, __38__(17), R79–R131. https://doi.org/10.1088/0305-4470/38/17/R01
Kamenev, A. (2001). Keldysh and Doi-Peliti Techniques for out-of-Equilibrium Systems, (1), 19. Mesoscale and Nanoscale Physics; Disordered Systems and Neural Networks. Retrieved from http://arxiv.org/abs/cond-mat/0109316
Eyink, G. L. (1996). Action principle in nonequilibrium statistical dynamics. Physical Review E, __54__(4), 3419–3435. https://doi.org/10.1103/PhysRevE.54.3419
Peliti, L. (1985). Path integral approach to birth-death processes on a lattice. Journal de Physique, __46__(9), 1469–1483. https://doi.org/10.1051/jphys:019850046090146900
Doi, M. (1976). Stochastic theory of diffusion-controlled reaction. Journal of Physics A: Mathematical and General, __9__(9), 1479–1495. https://doi.org/10.1088/0305-4470/9/9/009
Doi, M. (1976). Second quantization representation for classical many-particle system. Journal of Physics A: Mathematical and General, __9__(9), 1465–1477. https://doi.org/10.1088/0305-4470/9/9/008