### Professor Michael Kearney

### Biography

Michael joined the University of Surrey in 2002 as the inaugural Director of the Advanced Technology Institute and was appointed Head of the School of Electronics and Physical Sciences in 2005. He became Dean of the newly formed Faculty of Engineering and Physical Sciences in 2007, served as Pro Vice-Chancellor for REF between 2011 and 2013, and took up the role of Deputy Vice-Chancellor, Research and Innovation in 2013. Between May 2015 and May 2016 he served as Acting Vice-Chancellor before assuming his current position. Between 1995 and 2002 he was Professor of Electronic Device Engineering at Loughborough University, serving a three year period as Head of the Department of Electronic and Electrical Engineering, and prior to that he worked for seven years for GEC-Marconi Ltd., managing the company's Long Range Research Laboratory between 1994 and 1995.

Michael has an MA and PhD in physics from Oxford and Warwick Universities respectively and is a Fellow of the Institution of Engineering and Technology, the Institute of Physics and the Institute of Mathematics and its Applications.

As Provost, Michael is responsible for the delivery of all aspects of the academic endeavor of the University and the translation of the strategic imperatives into viable operational plans executed through the Vice-Provosts and the Faculty Deans. This includes the development, articulation and promotion of academic strategy to ensure excellence in research and teaching, and the wider delivery of a rewarding student experience.

### News

### Research

### Research interests

Michael's research interests are diverse, but may be broadly divided into two themes.

The first relates to semiconductor physics and devices, including (i) the study of thermoelectric and quantum transport phenomena in low-dimensional structures; (ii) the design and development of microwave devices, both passive and active; (iii) the evaluation of advanced field effect transistor devices for CMOS technology; and (iv) the performance modelling of solar cell devices. There is a strong emphasis throughout this research on modelling refined by means of detailed comparison to experimental data, and the various topics reflect the interplay between fundamental physics, electronic engineering and materials science.

The second relates to theoretical statistical physics, including (i) the study of lattice percolation models, with an emphasis on exact solutions; (ii) the theory of Brownian motion and diffusion, especially first-passage functionals; and (iii) the analysis of less standard (in a physics context) stochastic processes, including queuing and urn models. This research is quite mathematical in nature; early drivers came from analysing noise and randomness in signal processing, together with an enduring interest in chaotic dynamical systems and critical phenomena.

Details of publications may be found at ORCID: 0000-0002-9085-8638.

### My publications

### Publications

of coefficients in the asymptotic expansion of the logarithmic derivative

of the confluent hypergeometic function U(a, b, z). By application of the

Hilbert transform we convert this expression into an explicit, non-recursive

solution in which the nth coefficient is expressed as the (n ? 1)th moment of

a measure, and also as the trace of the (n ? 1)th iterate of a linear operator.

Applications of these sequences, and hence of the explicit solution provided,

are found in quantum field theory as the number of Feynman diagrams of a

certain type and order, in Brownian motion theory, and in combinatorics.

anomalous diffusion as a parameter is varied. The model is a variant on the elephant

random walk and differs in respect of the treatment of the initial state, which in the

present work consists of a given number N of fixed steps. This also links the

elephant random walk to other types of history dependent random walk. As well as

being amenable to direct analysis, the model is shown to be asymptotically equivalent

to a non-linear urn process. This provides fresh insights into the limiting form of the

distribution of the walker?s position at large times. Although the distribution is

intrinsically non-Gaussian in the anomalous diffusion regime, it gradually reverts to

normal form when N is large under quite general conditions.