# Academic Staff

## Andrew Wade - all publications

#### Journal Article

- Comets, Francis,
**Menshikov, Mikhail V.**&**Wade, Andrew R.**(Submitted). Random walks avoiding their convex hull with a finite memory. **Georgiou, Nicholas**, Mijatović, Aleksandar &**Wade, Andrew R.**(2019). Invariance principle for non-homogeneous random walks.*Electronic Journal of Probability***24**: 48.**Georgiou, Nicholas**,**Menshikov, Mikhail V.**, Petritis, Dimitri &**Wade, Andrew R.**(2019). Markov chains with heavy-tailed increments and asymptotically zero drift.*Electronic Journal of Probability***24**: 62.- Cruise, James R. &
**Wade, Andrew R.**(2019). The critical greedy server on the integers is recurrent.*Annals of Applied Probability***29**(2): 1233-1261. **Georgiou, Nicholas**, Mijatović, Aleksandar &**Wade, Andrew R.**(2018). A radial invariance principle for non-homogeneous random walks.*Electronic Communications in Probability***23**: 56.**Menshikov, Mikhail V.**, Petritis, Dimitri &**Wade, Andrew R.**(2018). Heavy-tailed random walks on complexes of half-lines.*Journal of Theoretical Probability***31**(3): 1819-1859.**Lo, Chak Hei**&**Wade, Andrew R.**(2018). On the centre of mass of a random walk.*Stochastic Processes and their Applications***McRedmond, James**&**Wade, Andrew R.**(2018). The convex hull of a planar random walk: perimeter, diameter, and shape.*Electronic Journal of Probability***23**: 131.**Lo, Chak Hei**&**Wade, Andrew R.**(2017). Non-homogeneous random walks on a half strip with generalized Lamperti drifts.*Markov Processes and Related Fields***23**(1): 125-146.**Georgiou, Nicholas**,**Menshikov, Mikhail V.**, Mijatovic, Aleksandar &**Wade, Andrew R.**(2016). Anomalous recurrence properties of many-dimensional zero-drift random walks.*Advances in Applied Probability***48**(Issue A): 99-118.- Grinfeld, Michael, Volkov, Stanislav &
**Wade, Andrew R.**(2015). Convergence in a multidimensional randomized Keynesian beauty contest.*Advances in Applied Probability***47**(1): 57-82. **Wade, Andrew R.**& Xu, Chang (2015). Convex hulls of planar random walks with drift.*Proceedings of the American Mathematical Society***143**(1): 433-445.**Wade, Andrew R.**& Xu, Chang (2015). Convex hulls of random walks and their scaling limits.*Stochastic Processes and their Applications***125**(11): 4300-4320.- Jordan, Jonathan &
**Wade, Andrew R.**(2015). Phase transitions for random geometric preferential attachment graphs.*Advances in Applied Probability***47**(2): 565-588. **Georgiou, Nicholas**&**Wade, Andrew R.**(2014). Non-homogeneous random walks on a semi-infinite strip.*Stochastic Processes and their Applications***124**(10): 3179-3205.- Darling, Richard W. R., Penrose, Mathew D.,
**Wade, Andrew R.**& Zabell, Sandy L. (2014). Rank deficiency in sparse random GF[2] matrices.*Electronic Journal of Probability***19**: 83. **Hryniv, Ostap**,**Menshikov, Mikhail V.**&**Wade, Andrew R.**(2013). Excursions and path functionals for stochastic processes with asymptotically zero drifts.*Stochastic Processes and their Applications***123**(6): 1891-1921.**MacPhee, I.M.**,**Menshikov, M.V.**&**Wade, A.R.**(2013). Moments of exit times from wedges for non-homogeneous random walks with asymptotically zero drifts.*Journal of Theoretical Probability***26**(1): 1-30.**Hryniv, Ostap**,**Menshikov, Mikhail V.**&**Wade, Andrew R.**(2013). Random walk in mixed random environment without uniform ellipticity.*Proceedings of the Steklov Institute of Mathematics***282**(1): 106-123.**Hryniv, Ostap**,**MacPhee, Iain M.**,**Menshikov, Mikhail V.**& Wade, Andrew R. (2012). Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips.*Electronic Journal of Probability***17**: 59, 1-28.- Grinfeld, Michael, Knight, Philip A. & Wade, Andrew R. (2012). Rank-driven Markov processes.
*Journal of Statistical Physics***146**(2): 378-407. - Grinfeld, Michael, Knight, Philip A. & Wade, Andrew R. (2011). Bak-Sneppen-type models and rank-driven processes.
*Physical Review E***84**(4): 041124. - Comets, Francis,
**Menshikov, Mikhail V.**, Volkov, Stanislav & Wade, Andrew R. (2011). Random walk with barycentric self-interaction.*Journal of Statistical Physics***143**(5): 855-888. - Crane, Edward, Georgiou, Nicholas, Volkov, Stanislav, Wade, Andrew R. & Waters, Robert J. (2011). The simple harmonic urn.
*Annals of Probability***39**(6): 2119-2177. **MacPhee, Iain M.**,**Menshikov, Mikhail V.**& Wade, Andrew R. (2010). Angular asymptotics for multi-dimensional non-homogeneous random walks with asymptotically zero drift.*Markov Processes and Related Fields***16**(2): 351-388.- Penrose, Mathew D. & Wade, Andrew R. (2010). Limit theorems for random spatial drainage networks.
*Advances in Applied Probability***42**(3): 659-688. **MacPhee, Iain M.**,**Menshikov, Mikhail V.**, Volkov, Stanislav & Wade, Andrew R. (2010). Passage-time moments and hybrid zones for the exclusion-voter model.*Bernoulli***16**(4): 1312-1342.**Menshikov, M. V.**& Wade, Andrew R. (2010). Rate of escape and central limit theorem for the supercritical Lamperti problem.*Stochastic Processes and their Applications***120**(10): 2078-2099.- Wade, Andrew R. (2009). Asymptotic theory for the multidimensional random on-line nearest-neighbour graph.
*Stochastic Processes and their Applications***119**(6): 1889-1911. **Menshikov, M. V.**, Vachkovskaia, M. & Wade, A. R. (2008). Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains.*Journal of Statistical Physics***132**(6): 1097-1133.- Penrose, Mathew D. & Wade, Andrew R. (2008). Limit theory for the random on-line nearest-neighbor graph.
*Random Structures and Algorithms***32**(2): 125-156. **Menshikov, M. V.**& Wade, Andrew R. (2008). Logarithmic speeds for one-dimensional perturbed random walks in random environments.*Stochastic Processes and their Applications***118**(3): 389-416.- Penrose, Mathew D. & Wade, Andrew R. (2008). Multivariate normal approximation in geometric probability.
*Journal of Statistical Theory and Practice***2**(2): 293-326. **Wade, Andrew R.**(2007). Explicit laws of large numbers for random nearest-neighbour-type graphs.*Advances in Applied Probability***39**(2): 326-342.- Penrose, Mathew D. & Wade, Andrew R. (2006). On the total length of the random minimal directed spanning tree.
*Advances in Applied Probability***38**(2): 336-372. **Menshikov, M. V.**&**Wade, A. R.**(2006). Random walk in random environment with asymptotically zero perturbation.*Journal of the European Mathematical Society***8**(3): 491–513.- Penrose, Mathew D. &
**Wade, Andrew R.**(2004). Random minimal directed spanning trees and Dickman-type distributions.*Advances in Applied Probability***36**(3): 691-714.

#### Authored book

**Menshikov, Mikhail**, Popov, Serguei &**Wade, Andrew**(2016).*Non-Homogeneous Random Walks*. Cambridge University Press.

#### Chapter in book

- Cruise, R. James
**Hryniv, Ostap**&**Wade, Andrew R.**(2014). Random processes. In__Mathematical Tools for Physicists__. Grinfeld, M. Wiley. pp. 3-38. - Penrose, Mathew D. & Wade, Andrew R. (2009). Random directed and on-line networks. In
__New Perspectives in Stochastic Geometry__. Kendall, W. S. & Molchanov, I. Oxford University Press. 248-274.