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Some ideas from quantum theory are just beginning to percolate back to classical probability theory.
Oskar Perron, Zur Theorie der Matrizen, Math. Ann
1907
Earlier work this paper cites.
Georg Frobenius, Über Matrizen aus nicht negativen Elemente, S.-B. Preuss Acad. Wiss. Berlin
1912
Earlier work this paper cites.
W. O. Kermack and A. G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. Lond. A
1927
Earlier work this paper cites.
A. T. Balaban, D. Fǎrcaşiu, and R. Bǎnicǎ, Graphs of multiple 1,2-shifts in carbonium ions and related systems, Rev. Roum. Chim
1966
Earlier work this paper cites.
Paul C. Lauterbur and Fausto Ramirez, Pseudorotation in trigonal-bipyramidal molecules, J. Am. Chem. Soc
1968
Earlier work this paper cites.
1970
Earlier work this paper cites.
F. Horn and Roy Jackson, General mass action kinetics, Archive for Rational Mechanics and Analysis
1972
Earlier work this paper cites.
M. J. Fischer and Michael O. Rabin, Super-exponential complexity of Presburger arithmetic, Proceedings of the SIAM-AMS Symposium in Applied Mathematics
1974
Earlier work this paper cites.
Fritz Horn, The dynamics of open reaction systems, in Mathematical Aspects of Chemical and Biochemical Problems and Quantum Chemistry
1974
Earlier work this paper cites.
M. Doi, Second-quantization representation for classical many-particle systems, J. Phys. A
1976
Earlier work this paper cites.
M. Doi, Stochastic theory of diffusion-controlled reactions, J. Phys. A
1976
Earlier work this paper cites.
Roger J. Lipton, The reachability problem requires exponential space, Technical Report 62, Yale University, 1976. Available at http://www.cs.yale.edu/publications/techreports/tr63.pdf
1976
Earlier work this paper cites.
S. Sacerdote and R. Tenney, The decidability of the reachability problem for vector addition systems, Conference Record of the Ninth Annual ACM Symposium on Theory of Computing, 2-4 May 1977, Boulder, Colorado, USA
1977
Earlier work this paper cites.
Derek C. Oppen, A 2 2 2 p n 2^{2^{2^{pn}}} upper bound on the complexity of Presburger arithmetic, J. Comput. Syst. Sci
1978
Earlier work this paper cites.
Martin Feinberg, Lectures On Reaction Networks
1979
Earlier work this paper cites.
M. Fukushima, Dirichlet Forms and Markov Processes
1980
Earlier work this paper cites.
Ernst Mayr, Persistence of vector replacement systems is decidable, Acta Informatica
1981
Earlier work this paper cites.
James L. Peterson, Petri Net Theory and the Modeling of Systems
1981
Earlier work this paper cites.
P. G. Doyle and J. L. Snell. Random Walks and Electrical Circuits
1984
Earlier work this paper cites.
L. Peliti, Path integral approach to birth-death processes on a lattice, J. Phys. France
1985
Earlier work this paper cites.
Martin Feinberg, Chemical reaction network structure and the stability of complex isothermal reactors: I. The deficiency zero and deficiency one theorems, Chemical Engineering Science
1987
Earlier work this paper cites.
José Meseguer and Ugo Montanari, Petri nets are monoids, Information and Computation
1990
Cited alongside, same era.
Danail Bonchev and D. H. Rouvray, editors. Chemical Graph Theory: Introduction and Fundamentals
1991
Cited alongside, same era.
Zhi-Ming Ma and Michael Röckner, Introduction to the Theory of (Non-Symmetric) Dirichlet Forms
1992
Cited alongside, same era.
Nenad Trinajstic, Chemical Graph Theory
1992
Cited alongside, same era.
R. Bruce King, Applications of Graph Theory and Topology in Inorganic Cluster Coordination Chemistry
1993
Cited alongside, same era.
Javier Esparza and Mogens Nielsen, Decidability issues for Petri nets—a survey, Bulletin of the European Association for Theoretical Computer Science
Gheorghe Craciun, Yangzhong Tang, and Martin Feinberg, Understanding bistability in complex enzyme-driven reaction networks, Proc. Nat. Acad. Sci. USA
2006
Later among the works it cites.
Marc Mangel, The Theoretical Biologist’s Toolbox: Quantitative Methods for Ecology and Evolutionary Biology
2006
Later among the works it cites.
Darren James Wilkinson, Stochastic Modelling for Systems Biology
2006
Later among the works it cites.
M. A. Buice and J. D. Cowan, Field-theoretic approach to fluctuation effects in neural networks, Phys. Rev. E
2007
Later among the works it cites.
Nico Van Kampen, Stochastic Processes in Physics and Chemistry
2007
Later among the works it cites.
Petr Jančar, Bouziane’s transformation of the Petri net reachability problem and incorrectness of the related algorithm, Information and Computation
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1994
Cited alongside, same era.
M. Ajmone Marsan, G. Balbo, G. Conte, S. Donatelli and G. Franceschinis, Modelling with Generalized Stochastic Petri Nets
1995
Cited alongside, same era.
S. R. Logan, Chemical Reaction Kinetics
1996
Cited alongside, same era.
Milan Randic, Symmetry properties of graphs of interest in chemistry: II: Desargues–Levi graph, Int. Jour. Quantum Chem
1997
Cited alongside, same era.
Zakaria Bouziane, A primitive recursive algorithm for the general Petri net reachability problem, in 39th Annual Symposium on Foundations of Computer Science
1998
Cited alongside, same era.
Peter J. E. Goss and Jean Peccoud, Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets, Proc. Natl. Acad. Sci. USA
1998
Cited alongside, same era.
D. C. Mattis and M. L. Glasser, The uses of quantum field theory in diffusion-limited reactions, Rev. Mod. Phys
1998
Cited alongside, same era.
2008
Later among the works it cites.
Jérôme Leroux, The general vector addition system reachability problem by Presburger inductive separators, 2008. Available at http://hal.inria.fr/docs/00/31/93/93/PDF/main.pdf
2008
Later among the works it cites.
David Soloveichik, Matt Cook, Erik Winfree and Jehoshua Bruck, Computation with finite stochastic chemical reaction networks, Natural Computing
2008
Later among the works it cites.
2008
Later among the works it cites.
M. A. Buice and J. D. Cowan, Statistical mechanics of the neocortex, Prog. Biophysics and Mol. Bio
2009
Later among the works it cites.
Matt Cook, David Soloveichik, Erik Winfree and Jehoshua Bruck, Programmability of chemical reaction networks, in Algorithmic Bioprocesses
2009
Later among the works it cites.
Peter J. Dodd and Neil M. Ferguson, A many-body field theory approach to stochastic models in population biology, PLoS ONE
2009
Later among the works it cites.
Kurt Jensen and Lars M. Kristensen, Coloured Petri Nets: Modelling and Validation of Concurrent Systems
2009
Later among the works it cites.
Ina Koch, Petri nets—a mathematical formalism to analyze chemical reaction networks, Molecular Informatics
2010
Later among the works it cites.
Wil van der Aalst and Christian Stahl, Modeling Business Processes: A Petri Net-Oriented Approach
2011
Later among the works it cites.
Daniel B. Forger, Signal processing in cellular clocks, Proc. Nat. Acad. Sci. USA
2011
Later among the works it cites.
Ho-Lin Chen, David Doty and David Soloveichik, Rate-independent computation in continuous chemical reaction networks, in ITCS 2014: Proceedings of the 5th Innovations in Theoretical Computer Science Conference
2014
Closest in time.
David Soloveichik, The computational power of chemical reaction networks, lecture at Programming with Chemical Reaction Networks: Mathematical Foundations, Banff, June 2014. Available at http://crn.thachuk.com/images/d/d5/Soloveichik-Banff_Tutorial.pdf
2014
Closest in time.
2015
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