Professor Wilfrid Kendall
On Study Leave in Terms 2 & 3
Professor Wilfrid Kendall works mostly in probability theory, with particular interests in: random processes, stochastic geometry, stochastic calculus, computer algebra in statistics and probability, and perfect simulation. He is co-director of APTS, and was one of 3 organizers of the EPSRC-funded workshop Probability 2008: New Scaling Limits and Other Recent Developments, Monday 31st March to Friday 4th April 2008.
Contact him at;
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Research preprints
A list of preprints is available at:
http://www.warwick.ac.uk/go/wsk/ppt
Talks
Slides for some recent talks are available here.
Some publications (reverse chronological order from 1998)
(with B.J. Hill and E. Thonnes) Fibre-generated point processes and fields of orientations, Ann. Appl. Statistics, to appear. See also arxiv.org:1109.0701.
(with M. Bramson and K. Burdzy) Shy Couplings, CAT(0) Spaces, and the Lion and Man, Ann. Probab., to appear. See also arxiv.org:1007.3199.
2011
(with H. Le) Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables. Brazilian Journal of Probability and Statistics, 25 (3) (November 2011), 323-352. See also arxiv.org:1102.0228.
Geodesics and flows in a Poissonian city. Ann. Appl. Probab. 21 (3), 801-842. See also arXiv:0910.5115.
2010
Coupling time distribution asymptotics for some couplings of the Lévy stochastic area. Chapter 19 of Probability and Mathematical Genetics: Papers in Honour of Sir John Kingman, London Math. Soc. Lecture Note Ser. Cambridge: Cambridge Univ. Press. See also arXiv:math.PR/1002.4348.
(co-edited with I. Molchanov) New perspectives in stochastic geometry, January 2010, 608 pages, 40 illustrations. Oxford; Oxford University Press.
(with H. Le) Statistical Shape Theory, chapter in "New perspectives in Stochastic Geometry" as above.
2009
Academy for PhD Training in Statistics (APTS), MSOR Connections, 9, 53-55.
Brownian couplings, convexity, and shy-ness, Electronic Communications in Probability 14, Paper 7, 66-80. See also arXiv:0809.4682.
2008
Networks and Poisson line patterns: fluctuation asymptotics. In New Perspectives in Stochastic Geometry, Oberwolfach Reports, Volume 5, No.4, 2670-2672.
(with D. Stoyan, J. Mecke) Stochastic Geometry and its Applications, October 2008, (2nd edition, now in paperback), 456 pages, Chichester, New York; Wiley.
(with D.J. Aldous) Short-length routes in low-cost networks via Poisson line patterns. Advances in Applied Probability, 40 (1) (March 2008), 1-21. See also arXiv:math/0701140.
2007
(with S.B. Connor) Perfect Simulation for a Class of Positive Recurrent Markov Chains. Ann. Appl. Probab. 17 (3), 781-808, also Correction. Perfect simulation for a class of positive recurrent Markov chains. Ann. Appl. Probab. Volume 17, Number 5-6 (2007), 1808-1810. See also arXiv:math/0601174.
Coupling all the Lévy stochastic areas of multidimensional Brownian motion. Ann. Probab. 35 (3), 935-953. See also arXiv:math/0512336.
(with J. Marin and C. Robert) Confidence bands for Brownian motion and applications to Monte Carlo simulation. Statistics and Computing
, Volume 17 Number 1 (2007), 1-10.
2005
(co-edited with F. Liang and J.-S. Wang) Markov chain Monte Carlo: Innovations and Applications, November 2005, 240 pages, Singapore; World Scientific.
2004
Geometric Ergodicity and Perfect Simulation, Electronic Communications in Probability 9, Paper 7, 140-151. See also arXiv:math/0410012.
(with C.J. Price) Coupling Iterated Kolmogorov Diffusions. Electronic Journal of Probability 9, Paper 13, 382-410.
2003
(with R.G. Wilson) Ising models and multiresolution quad-trees. Advances in Applied Probability 35 (1), 96-122.
2002
(with A. Brix) Simulation of cluster point processes without edge effects. Advances in Applied Probability 34 (2), 267-280.
(with Y. Cai) Perfect simulation for correlated Poisson random variables conditioned to be positive. Statistics and Computing 12, 229-243.
(with G. Montana) Small sets and Markov transition densities. Stochastic Processes and Their Applications 99 (2), 177-194.
2001
(with A. Bhalerao, E. Thönnes and R. Wilson) Inferring vascular structure from 2D and 3D imagery In: Medical Image Computing and Computer-Assisted Intervention, proceedings of MICCAI 2001, edited by W.J. Niessen and M.A. Viergever, Springer Lecture Notes in Computer Science 2208, 820-828.
Symbolic Itô calculus: an ongoing story. Statistics and Computing, 11, 25-35.
Gambling with the Truth: Markov chain Monte Carlo. In: Challenges for the 21st Century: ICFS Mathematics and Theoretical Physics, Singapore March 2000, edited by L.H.Y. Chen, J.P. Jesudason, C.H. Lai, C.H. Oh, K.K. Phua and E.-C. Tan, Singapore; World Scientific, 83-101.
2000
(with K. Burdzy) Efficient Markovian couplings: examples and counterexamples. The Annals of Applied Probability 10 (2), 362-40.
Stationary countable dense random sets. Advances in Applied Probability 32 (1), 86-100.
(with J. Møller) Perfect simulation using dominating processes on ordered state spaces, with application to locally stable point processes. Advances in Applied Probability 32 (3), 844-865.
(with C.J. Price) Zeros of Brownian Polynomials. Stochastics and Stochastic Reports 70, 271-308.
1999
(edited with O.E. Barndorff-Nielsen and M.N.M. van Lieshout) Stochastic Geometry: Likelihood and Computation, Monographs on Statistics and Applied Probability 80, New York; Chapman and Hall / CRC.
(with J.M. Corcuera) Riemannian barycentres and geodesic convexity. Math. Proc. Camb. Phil. Soc. 127 (2), 253-269.
Geometry, statistics, and shape. In: Geometry in Present Day Science, edited by O.E. Barndorff-Nielsen and E.B. Vedel-Jensen, Singapore; World Scientific, 143-163.
(with M.N.M. van Lieshout and A.J. Baddeley) Quermass-interaction processes: conditions for stability. Advances in Applied Probability 31.2, 315-342.
(with E. Thönnes) Perfect Simulation in Stochastic Geometry. Pattern Recognition 32 (9), 1569-1586.
1998
(with J. Jost, U. Mosco, M. Röckner and K.-T. Sturm) New Directions in Dirichlet Forms, International Press, Volume 8, Providence RI; American Mathematical Society.
Perfect simulation for the area-interaction point process. In: Probability Towards 2000, edited by L. Accardi and C.C. Heyde. Lecture Notes in Statistics, volume 128, New York; Springer-Verlag, 218-234.
A diffusion model for Bookstein triangle shape. Advances in Applied Probability 30 (2), 317-334.
