Outputs (4)

Reflecting random walks in curvilinear wedges (2021)
Book Chapter
Menshikov, M. V., Mijatović, A., & Wade, A. R. (2021). Reflecting random walks in curvilinear wedges. In M. Vares, R. Fernández, L. Fontes, & C. Newman (Eds.), In and out of equilibrium 3: celebrating Vladas Sidoarvicius (637-675). Springer Verlag. https://doi.org/10.1007/978-3-030-60754-8_26

We study a random walk (Markov chain) in an unbounded planar domain bounded by two curves of the form x2=a+xβ+1 and x2=−a−xβ−1 , with x1 ≥ 0. In the interior of the domain, the random walk has zero drift and a given increment covariance matrix. From... Read More about Reflecting random walks in curvilinear wedges.

Angular asymptotics for random walks (2021)
Book Chapter
López Hernández, A., & Wade, A. R. (2021). Angular asymptotics for random walks. In L. Chaumont, & A. E. Kyprianou (Eds.), A Lifetime of Excursions Through Random Walks and Lévy Processes (315-342). Springer Verlag. https://doi.org/10.1007/978-3-030-83309-1_17

We study the set of directions asymptotically explored by a spatially homogeneous random walk in d-dimensional Euclidean space. We survey some pertinent results of Kesten and Erickson, make some further observations, and present some examples. We als... Read More about Angular asymptotics for random walks.

Random processes (2015)
Book Chapter
Cruise, R. J., Hryniv, O., & Wade, A. R. (2015). Random processes. In M. Grinfeld (Ed.), Mathematical Tools for Physicists (3-38). (2nd ed.). Wiley. https://doi.org/10.1002/3527600434.eap382.pub2

Random directed and on-line networks (2009)
Book Chapter
Penrose, M. D., & Wade, A. R. (2009). Random directed and on-line networks. In W. Kendall, & I. Molchanov (Eds.), New Perspectives in Stochastic Geometry (248-274). Oxford University Press