\(q\)-random walks on \(\mathbb Z^d\), \(d = 1, 2, 3\)
DOI10.1007/S11009-020-09788-9zbMath1480.60207OpenAlexW3035186819MaRDI QIDQ2241634
Thomas Kamalakis, Malvina G. Vamvakari
Publication date: 9 November 2021
Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11009-020-09788-9
\(q\)-seriesmaximafirst hitting times\(q\)-Brownian motion\(q\)-random walk on integers\(q\)-random walk on two- and three-dimensional integer latticecontinuous time \(q\)-random walkdiscrete \(q\)-distributionsMarkov chains and classification of statesreccurence and transience of states
Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Cites Work
- A \(q\)-random walk approximated by a \(q\)-Brownian motion
- A \(q\)-analogue of the Stirling formula and a continuous limiting behaviour of the \(q\)-binomial distribution -- numerical calculations
- Discrete q-Distributions
- Introduction to Random Graphs
- Heine-euler extensions of the poisson distribution
- Steady-state Markov chain models for the Heine and Euler distributions
- Paths in graphs
- Heine process as a q-analog of the Poisson process—waiting and interarrival times
- Networks
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