Selected Publications & Preprints

• Dynamics of a generic Brownian motion: recursive aspects
• Brownian motion and Kolmogorov complexity
• Ramsey structure of height-preserving poset embedding
• Symmetries in Ramsey theory: recent results and applications
• Dynamics of a generic Brownian motion: recursive aspects
• Fouché, W. L.; Pretorius, L. M.; Swanepoel, C. J. Ramsey degrees of bipartite graphs: a primitive recursive proof. Discrete Math. 293 (2005), no. 1-3, 111--119.
• Fouché, W. L.; Pretorius, L. M.; Swanepoel, C. J. Partitions of factorisations of parameter words. 17th British Combinatorial Conference (Canterbury, 1999). Discrete Math. 231 (2001), no. 1-3, 169--175.
• Fouché, Willem L. The descriptive complexity of Brownian motion. Adv. Math. 155 (2000), no. 2, 317--343.
• Fouché, Willem Arithmetical representations of Brownian motion. I. J. Symbolic Logic 65 (2000), no. 1, 421--442.
• Fouché, Willem L. Discrepancies of hypergraphs of high Kolmogorov complexity. Papers in honour of Ernest J. Cockayne. J. Combin. Math. Combin. Comput. 33 (2000), 199--207.
• Fouché, W. L.; Pretorius, L. M.; Swanepoel, C. J. Partition theorems for factorisations of ascending parameter words. 16th British Combinatorial Conference (London, 1997). Discrete Math. 197/198 (1999), 331--350.
• Fouché, W. L. Symmetries and Ramsey properties of trees. 16th British Combinatorial Conference (London, 1997). Discrete Math. 197/198 (1999), 325--330.
• Fouché, Willem L. Symmetry and the Ramsey degrees of finite relational structures. J. Combin. Theory Ser. A 85 (1999), no. 2, 135--147.
• Fouché, Willem Symmetries in Ramsey theory. East-West J. Math. 1 (1998), no. 1, 43--60.
• Fouché, W. L.; Potgieter, P. H. Kolmogorov complexity and symmetric relational structures. J. Symbolic Logic 63 (1998), no. 3, 1083--1094.
• Fouché, W. L. Symmetry and the Ramsey degree of posets. 15th British Combinatorial Conference (Stirling, 1995). Discrete Math. 167/168 (1997), 309--315.
• Fouché, Willem L. Chain partitions of ordered sets. Order 13 (1996), no. 3, 255--266.
• Fouché, W. L. Descriptive complexity and reflective properties of combinatorial configurations. J. London Math. Soc. (2) 54 (1996), no. 1, 199--208.
• Fouché, W. L. Unavoidable regularities and factor permutations of words. Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), no. 3, 519--524.
• Fouché, W. L. Identifying randomness given by high descriptive complexity. Acta Appl. Math. 34 (1994), no. 3, 313--328.)
• Fouché, W. L. Reflective properties of free semigroups. Quart. J. Math. Oxford Ser. (2) 44 (1993), no. 176, 435--449.
• Fouché, W. L. Cyclic decompositions of multisets. Quart. J. Math. Oxford Ser. (2) 42 (1991), no. 167, 293--308.
• Fouché, W. L. The distribution of Bernoulli numbers modulo primes. Arch. Math. (Basel) 50 (1988), no. 2, 139--144.
• Fouché, W. L. On the Kummer-Mirimanoff congruences. Quart. J. Math. Oxford Ser. (2) 37 (1986), no. 147, 257--261.
• Fouché, Willem L. On the $p$-adic zeros of polynomials with Bernoulli coefficients. Arch. Math. (Basel) 45 (1985), no. 6, 534--537.
• Fouché, Willem A reciprocity law for polynomials with Bernoulli coefficients. Trans. Amer. Math. Soc. 288 (1985), no. 1, 59--67.
• Fouché, W. L. Arithmetic properties of Heilbronn sums. J. Number Theory 19 (1984), no. 1, 1--6.

Miscellaneous