Access the full text.
Sign up today, get DeepDyve free for 14 days.
César Villarreal (1998)
Ergodic decomposition of Markov chainsLinear Algebra and its Applications, 283
M. Lewin (1971)
On nonnegative matricesPacific Journal of Mathematics, 36
(1982)
Stochastic Processes
S. Nicaise (1987)
Spectre des réseaux topologiques finisBull. Sci. Math. II. Sér., 111
Vera Keicher (2008)
Almost periodicity of stochastic operators on $\ell^1(\mathbb{N})$Tbilisi Mathematical Journal, 1
宮沢 政清 (2000)
P. Bremaud 著, Markov Chains, (Gibbs fields, Monte Carlo simulation and Queues), Springer-Verlag, 1999年, 45
F. Foster (1953)
On the Stochastic Matrices Associated with Certain Queuing ProcessesAnnals of Mathematical Statistics, 24
R. Atalla (1984)
On uniform ergodic theorems for Markov operators on C (X)Rocky Mountain Journal of Mathematics, 14
(2001)
PDE’s on Multistructures
C. Godsil, G. Royle (2001)
Algebraic Graph Theory
D. Axmann (1980)
Struktur- und ergodentheorie irreduzibler operatoren auf Banachverbänden
G. Fayolle, V. Malyshev, M. Menshikov (1995)
Topics in the Constructive Theory of Countable Markov Chains: Ideology of induced chains
R. Dáger, E. Zuazua (2005)
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures (Mathématiques et Applications)
E. Seneta (2008)
Non-negative Matrices and Markov Chains
K. Engel, R. Nagel (1999)
One-parameter semigroups for linear evolution equationsSemigroup Forum, 63
(1997)
Graph Theory, Graduate Texts in Math
J. Below (1988)
Classical solvability of linear parabolic equations on networksJournal of Differential Equations, 72
W. Arendt, A. Grabosch, G. Greiner, Ulrich Moustakas, R. Nagel, U. Schlotterbeck, U. Groh, H. Lotz, F. Neubrander (1986)
One-parameter Semigroups of Positive Operators
M. Kramar, E. Sikolya (2005)
Spectral properties and asymptotic periodicity of flows in networksMathematische Zeitschrift, 249
C. Batty (1987)
ONE-PARAMETER SEMIGROUPS OF POSITIVE OPERATORS (Lecture Notes in Mathematics 1184)Bulletin of The London Mathematical Society, 19
K. Engel, R. Nagel (2006)
A Short Course on Operator Semigroups
J. Kingman, J. Kemeny, J. Snell, A. Knapp (1969)
Denumerable Markov chains
J. Kingman (1961)
The ergodic behaviour of random walksBiometrika, 48
F. Räbiger (1995)
Attractors and asymptotic periodicity of positive operators on Banach lattices, 7
Vera Keicher (2009)
Almost periodicity of stochastic operators on (cid:96) 1 ( N )
Vera Keicher (2006)
On the peripheral spectrum of bounded positive semigroups on atomic Banach latticesArchiv der Mathematik, 87
J. Below (1989)
Kirchhoff laws and diffusion on networksLinear Algebra and its Applications, 121
P. Brémaud, M. Chains (1999)
Gibbs Fields, Monte Carlo Simulation, and Queues
K. Brown, Hsiao-Lan Liu (1982)
Graduate Texts in Mathematics
Agnes Radl (2008)
Transport processes in networks with scattering ramification nodes, 3
R. Diestel (1997)
Graph Theory, Graduate Texts in Math., vol. 173
H. Lotz (1981)
Uniform ergodic theorems for Markov operators onC(X)Mathematische Zeitschrift, 178
H. Schaefer (1975)
Banach Lattices and Positive Operators
B. Bollobás (1998)
Modern Graph Theory
Z. S̆idak (1964)
Eigenvalues of operators in l p -spaces in denumerable Markov chainsCzechoslovak Math. J., 14
C. Aliprantis, O. Burkinshaw (1978)
Locally solid Riesz spaces
A. Lasota, Tien-Yien Li, J. Yorke (1984)
Asymptotic periodicity of the iterates of Markov operatorsTransactions of the American Mathematical Society, 286
G. Fayolle, V. Malyshev, M. Menshikov (1995)
Topics in the Constructive Theory of Countable Markov Chains
S. Nicaise (1987)
Spectre des réseaux topologiques finisBulletin Des Sciences Mathematiques, 111
B. Dorn (2008)
Semigroups for flows in infinite networksSemigroup Forum, 76
E. Sikolya (2005)
Flows in networks with dynamic ramification nodesJournal of Evolution Equations, 5
John Odentrantz (2000)
Markov Chains: Gibbs Fields, Monte Carlo Simulation, and QueuesTechnometrics, 42
K.-J. Engel, R. Nagel (2006)
A Short Course on Operator Semigroups, Universitext
J. Komorník (1986)
ASYMPTOTIC PERIODICITY OF THE ITERATES OF WEAKLY CONSTRICTIVE MARKOY OPERATORSTohoku Mathematical Journal, 38
T. Mátrai, E. Sikolya (2007)
Asymptotic behavior of flows in networks, 19
Karma Dajani (1963)
Ergodic Theory
E. Davies (2005)
Triviality of the peripheral point spectrumJournal of Evolution Equations, 5
We consider a transport process on an infinite network and, using the corresponding flow semigroup as in Dorn (Semigroup Forum 76:341–356, 2008), investigate its long term behavior. Combining methods from functional analysis, graph theory and stochastics, we are able to characterize the networks for which the flow semigroup converges strongly to a periodic group.
Mathematische Zeitschrift – Springer Journals
Published: Aug 26, 2008
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.