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A random environment for linearly edge-reinforced random walks on infinite graphs
by
Rolles, Silke W. W.
, Merkl, Franz
in
Distribution theory
/ Exact sciences and technology
/ General topics
/ Graphs
/ Markov analysis
/ Markov chains
/ Mathematics
/ Probability
/ Probability and statistics
/ Probability theory and stochastic processes
/ Random variables
/ Random walk
/ Random walk theory
/ Sciences and techniques of general use
/ Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)
/ Stochastic processes
/ Studies
2007
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A random environment for linearly edge-reinforced random walks on infinite graphs
by
Rolles, Silke W. W.
, Merkl, Franz
in
Distribution theory
/ Exact sciences and technology
/ General topics
/ Graphs
/ Markov analysis
/ Markov chains
/ Mathematics
/ Probability
/ Probability and statistics
/ Probability theory and stochastic processes
/ Random variables
/ Random walk
/ Random walk theory
/ Sciences and techniques of general use
/ Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)
/ Stochastic processes
/ Studies
2007
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A random environment for linearly edge-reinforced random walks on infinite graphs
by
Rolles, Silke W. W.
, Merkl, Franz
in
Distribution theory
/ Exact sciences and technology
/ General topics
/ Graphs
/ Markov analysis
/ Markov chains
/ Mathematics
/ Probability
/ Probability and statistics
/ Probability theory and stochastic processes
/ Random variables
/ Random walk
/ Random walk theory
/ Sciences and techniques of general use
/ Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)
/ Stochastic processes
/ Studies
2007
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A random environment for linearly edge-reinforced random walks on infinite graphs
Journal Article
A random environment for linearly edge-reinforced random walks on infinite graphs
2007
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Overview
We consider linearly edge-reinforced random walk on an arbitrary locally finite connected graph. It is shown that the process has the same distribution as a mixture of reversible Markov chains, determined by time-independent strictly positive weights on the edges. Furthermore, we prove bounds for the random weights, uniform, among others, in the size of the graph. [PUBLICATION ABSTRACT]
Publisher
Springer,Springer Nature B.V
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