William J. Anderson (1991):
Continuous-Time Markov Chains: An Applications-Oriented Approach.
Springer Verlag,
doi:10.1007/978-1-4612-3038-0.
Adnan Aziz, Kumud Sanwal, Vigyan Singhal & Robert K. Brayton (2000):
Model-Checking Continuous-Time Markov Chains.
ACM Trans. Comput. Log 1(1),
pp. 162–170,
doi:10.1145/343369.343402.
Christel Baier, Boudewijn R. Haverkort, Holger Hermanns & Joost-Pieter Katoen (2003):
Model-Checking Algorithms for Continuous-Time Markov Chains.
IEEE Trans. Software Eng 29(6),
pp. 524–541,
doi:10.1109/TSE.2003.1205180.
P. Ballarini, R. Mardare & I. Mura (2009):
Analysing Biochemical Oscillation through Probabilistic Model Checking.
In: Proc. 2nd Workshop From Biology to Concurrency and Back (FBTC'08),
Electronic Notes in Theoretical Computer Science 229 (issue 1).
Elsevier,
pp. 3–19,
doi:10.1016/j.entcs.2009.02.002.
P.-J. Courtois & P Semal (1984):
Bounds for the Positive Eigenvectors of Nonnegative Matrices and for their Approximations by Decomposition.
J. ACM 31(4),
pp. 804–825,
doi:10.1145/1634.1637.
Pierre-Jacques Courtois (1985):
Analysis of Large Markovian Models by Parts. Applications to Queueing Network Models.
In: Messung, Modellierung und Bewertung von Rechensystemen, 3. GI/NTG-Fachtagung,
pp. 1–10,
doi:10.1007/978-3-642-87472-7_1.
Tuğrul Dayar, Holger Hermanns, David Spieler & Verena Wolf (2011):
Bounding the equilibrium distribution of Markov population models.
Numerical Linear Algebra with Applications 18(6),
pp. 931–946,
doi:10.1002/nla.795.
Nico M. van Dijk (1988):
On the finite horizon Bellman equation for controlled Markov jump models with unbounded characteristics.
Stochastic Proc. Appl 28,
pp. 141–157,
doi:10.1016/0304-4149(88)90071-3.
E. Allen Emerson & Edmund M. Clarke (1982):
Using Branching Time Temporal Logic to Synthesize Synchronization Skeletons.
Sci. Comput. Program 2(3),
pp. 241–266,
doi:10.1016/0167-6423(83)90017-5.
P. Glynn & A. Zeevi (2008):
Bounding stationary expectations of Markov processes.
IMS Collections: Markov Processes and Related Topics 4,
pp. 195–214,
doi:10.1214/074921708000000381.
Winfried K. Grassmann (1991):
Finding Transient Solutions in Markovian Event Systems Through Randomization.
In: Numerical Solution of Markov Chains,
pp. 357–371.
Peter J. E. Gross & Jean Peccoud (1998):
Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets.
Proc. Natl. Acad. Sci. 95,
pp. 6750–6755,
doi:10.1073/pnas.95.12.6750.
Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Akiko Takeda, Katsuki Fujisawa & Tomohiko Mizutani (2004):
PHoM – a Polyhedral Homotopy Continuation Method for Polynomial Systems.
Computing 73(1),
pp. 57–77,
doi:10.1007/s00607-003-0032-4.
E. Moritz Hahn, Holger Hermanns, Björn Wachter & Lijun Zhang (2009):
INFAMY: An Infinite-State Markov Model Checker.
In: CAV.
Springer,
pp. 641–647,
doi:10.1007/978-3-642-02658-4_49.
E. Moritz Hahn, Holger Hermanns, Björn Wachter & Lijun Zhang (2009):
Time-Bounded Model Checking of Infinite-State Continuous-Time Markov Chains.
Fundamenta Informaticae 95,
pp. 129–155,
doi:10.3233/FI-2009-145.
Joost-Pieter Katoen, Daniel Klink, Martin Leucker & Verena Wolf (2007):
Three-Valued Abstraction for Continuous-Time Markov Chains.
In: CAV,
Lecture Notes in Computer Science 4590.
Springer,
pp. 311–324,
doi:10.1007/978-3-540-73368-3_37.
Daniel Klink (2010):
Three-Valued Abstraction for Stochastic Systems.
RWTH Aachen.
T. L. Lee, T. Y. Li & C. H. Tsai (2008):
HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method.
Computing 83(2-3),
pp. 109–133,
doi:10.1007/s00607-008-0015-6.
A. Loinger, A. Lipshtat, N. Q. Balaban & O. Biham (2007):
Stochastic simulations of genetic switch systems.
Physical Review E 75(2),
pp. 021904,
doi:10.1103/PhysRevE.75.021904.
Aad P. A. van Moorsel & William H. Sanders (1994):
Adaptive Uniformization.
Communications in Statistics - Stochastic Models 10(3),
pp. 619–647,
doi:10.1080/15326349408807313.
Brian Munsky & Mustafa Khammash (2006):
The Finite State Projection Algorithm for the Solution of the Chemical Master Equation.
Journal of Chemical Physics 124(044104),
doi:10.1063/1.2145882.
Anne Remke, Boudewijn R. Haverkort & Lucia Cloth (2007):
CSL Model Checking Algorithms for QBDs.
Theor. Comput. Sci 382(1),
pp. 24–41.
Available at http://dx.doi.org/10.1016/j.tcs.2007.05.007.
D. Spieler (2011):
Geobound.
http://mosi.cs.uni-saarland.de/?page_id=74.
William J. Stewart (1994):
Introduction to the Numerical Solution of Markov Chains.
Princeton University Press.
M. Thattai & A. van Oudenaarden (2001):
Intrinsic noise in gene regulatory networks..
Proceedings of the National Academy of Science, USA 98(15),
pp. 8614–8619,
doi:10.1073/pnas.151588598.
R. Tweedie (1975):
Sufficient conditions for regularity, recurrence and ergodicity of Markov processes.
Math. Proc. Camb. Phil. Soc. 78,
pp. 125–130,
doi:10.1017/S0305004100051562.