| Citation | Widely recognised as one of the leading international experts in his field, Williams is everywhere esteemed for his rare intuitive probabilistic insight into the way in which stochastic processes behave, for his analytical powers which enable him to establish rigorously the (often apparently paradoxical) results which such insight suggests, and for his skill in adapting general theory to meet special concrete needs. His major achievements are (1) pioneering work on the construction problem for Markov chains, especially at the boundary, and (2) the deep and rich developments now known as his "path decompositions" for brownian [sic] motion. To his quite exceptional gifts as a lecturer and teacher we owe the creation of a group of outstanding young people working on these problems in the U.K. |