# Staff profile

Overview

## Andrew Wade

Professor, Probability

PhD Durham University

Affiliation | Room number | Telephone |
---|---|---|

Professor, Probability in the Department of Mathematical Sciences | MCS3022 | +44 (0) 191 33 44151 |

### Biography

##### Research Summary

My research is in probability theory and its applications. My interests include random spatial models and stochastic processes inspired by physics or other applications. Some of my recent work has been on random walks, random spatial graphs, processes in random media, and interacting particle systems. For some more details about some of my research and publications, see here.

### Research interests

- probability theory
- stochastic processes
- random structures

### Research groups

- Probability & Statistics: Probability
- Probability and Statistics

### Awarded Grants

- 2017: Probability in the North East(£1600.00 from The London Mathematical Society)
- 2016: Probability in the North East(£1200.00 from London Mathematical Society)
- 2015: Probability on the North-East(£1847.24 from London Mathematical Society)
- 2014: Aspects of Random Walks(£598.00 from London Mathematical Society)
- 2013: Non-homogenous random walks(£91911.00 from Epsrc)

### Publications

Authored book

- Menshikov, Mikhail, Popov, Serguei & Wade, Andrew (2016).
*Non-Homogeneous Random Walks: Lyapunov Function Methods for Near-Critical Stochastic Systems*. Cambridge: Cambridge University Press.

Chapter in book

- Menshikov, Mikhail V., Mijatović, Aleksandar & Wade, Andrew R. (2021). Reflecting random walks in curvilinear wedges. In
__In and Out of Equilibrium 3: Celebrating Vladas Sidoarvicius__. Vares, M.E., Fernández, R., Fontes, L.R. & Newman, C.M. Springer.**77:**637-675. - López Hernández, Alejandro & Wade, Andrew R. (2021). Angular asymptotics for random walks. In
__A Lifetime of Excursions Through Random Walks and Lévy Processes__. Chaumont, Loïc & Kyprianou, Andreas E. Springer. - 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.

Journal Article

- da Costa, Conrado, Menshikov, Mikhail V. & Wade, Andrew R. (Submitted). Stochastic billiards with Markovian reflections in generalized parabolic domains.
- Georgiou, Nicholas & Wade, Andrew R. (Submitted). Deposition, diffusion, and nucleation on an interval.
- Lo, Chak Hei, Menshikov, Mikhail V. & Wade, Andrew R. (Submitted). Cutpoints of non-homogeneous random walks.
- Comets, Francis, Menshikov, Mikhail V. & Wade, Andrew R. (2020). Random walks avoiding their convex hull with a finite memory.
*Indagationes Mathematicae***31**(1): 117-146. - 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. - Lo, Chak Hei & Wade, Andrew R. (2019). On the centre of mass of a random walk.
*Stochastic Processes and their Applications***129**(11): 4663-4686. - Georgiou, Nicholas, Mijatović, Aleksandar & Wade, Andrew R. (2019). Invariance principle for non-homogeneous random walks.
*Electronic Journal of Probability***24**: 48. - 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. - Georgiou, Nicholas, Mijatović, Aleksandar & Wade, Andrew R. (2018). A radial invariance principle for non-homogeneous random walks.
*Electronic Communications in Probability***23**: 56. - 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. - Jordan, Jonathan & Wade, Andrew R. (2015). Phase transitions for random geometric preferential attachment graphs.
*Advances in Applied Probability***47**(2): 565-588. - 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. - 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. - 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). Excursions and path functionals for stochastic processes with asymptotically zero drifts.
*Stochastic Processes and their Applications***123**(6): 1891-1921. - 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. - Grinfeld, Michael, Knight, Philip A. & Wade, Andrew R. (2012). Rank-driven Markov processes.
*Journal of Statistical Physics***146**(2): 378-407. - 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. (2011). Bak-Sneppen-type models and rank-driven processes.
*Physical Review E***84**(4): 041124. - Crane, Edward, Georgiou, Nicholas, Volkov, Stanislav, Wade, Andrew R. & Waters, Robert J. (2011). The simple harmonic urn.
*Annals of Probability***39**(6): 2119-2177. - 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. - 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. - 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. - 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. - Penrose, Mathew D. & Wade, Andrew R. (2010). Limit theorems for random spatial drainage networks.
*Advances in Applied Probability***42**(3): 659-688. - 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. & 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. - 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., Vachkovskaia, M. & Wade, A. R. (2008). Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains.
*Journal of Statistical Physics***132**(6): 1097-1133. - 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.

### Supervision students

### Clare Wallace

4S

### Mr Qasem Tawhari

3S