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We define the concept of an "open" Markov process, or more precisely, continuous-time Markov chain, which is one where probability can flow in or out of certain states called "inputs" and "outputs".
C. St. J. Nash-Williams, Random walk and electric currents in networks, Proc. Camb. Phil. Soc
1959
Earlier work this paper cites.
I. Prigogine, Introduction to Non-Equilibrium Thermodynamics
1962
Earlier work this paper cites.
J. Bénabou, Introduction to bicategories, in Reports of the Midwest Category Seminar
1967
Earlier work this paper cites.
J. F. C. Kingman, Markov population processes, Jour. Appl. Prob
1969
Earlier work this paper cites.
P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations
1971
Earlier work this paper cites.
R. Landauer, Inadequacy of entropy and entropy derivatives in characterizing the steady state, Phys. Rev. A
1975
Earlier work this paper cites.
R. Landauer, Stability and entropy production in electrical circuits, Jour. Stat. Phys
1975
Earlier work this paper cites.
J. Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Rev. Mod. Phys
1976
Cited alongside, same era.
S. Mac Lane, Categories for the Working Mathematician
1978
Cited alongside, same era.
J. Schnakenberg, Thermodynamic Network Analysis of Biological Systems
1981
Cited alongside, same era.
A. Weinstein, Symplectic geometry, Bull. Amer. Math. Soc
1981
Cited alongside, same era.
S. Abramsky and B. Coecke, A categorical semantics of quantum protocols, in Proceedings of the 19th IEEE Conference on Logic in Computer Science (LiCS04)
2004
Cited alongside, same era.
S. Bruers, C. Maes and K. Netočný, On the validity of entropy production principles for linear electrical circuits, Jour. Stat. Phys
P. Selinger, Dagger compact closed categories and completely positive maps, in Proceedings of the 3rd International Workshop on Quantum Programming Languages
2007
Later among the works it cites.
G. Lebon and D. Jou, Understanding Non-equilibrium Thermodynamics
2008
Later among the works it cites.
2011
Later among the works it cites.
F. P. Kelly, Reversibility and Stochastic Networks
2011
Later among the works it cites.
J. C. Baez and J. Erbele, Categories in control
2015
Closest in time.
B. Fong, Decorated cospans. Theory and Applications of Categories 30
2015
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2007
Cited alongside, same era.
C. Maes and K. Netočný, Minimum entropy production principle from a dynamical fluctuation law, Jour. Math. Phys
2007
Cited alongside, same era.
Cited in the paper.
T. Leinster, Basic bicategories. Available as math.CT/9810017
Cited in the paper.
B. Pollard, A Second Law for open Markov processes, available as arXiv:1410.6531
Cited in the paper.
Closest in time.