You have reached the homepage of Bas Kleijn, assistant professor in stochastics and analysis at the Korteweg-de Vries Institute for Mathematics, University of Amsterdam, the Netherlands.

Research contains past and present research interests, my book project and Ph.D.-theses, alongside a Curriculum Vitae, Research statement and List of publications.

The Education tab leads to all educational efforts, present and past, including information on the courses I teach this semester and a Teaching statement.

Under Links, you'll find links to pages of interest.

An example Gaussian histogram system
A sampled Gaussian histogram on a 64x64 partition (lower right), and its 32x32 (lower left), 16x16 (upper right) and 8x8 (upper left) coarsened histograms. Coherence of a histogram system says that the distributions of the random 8x8, 16x16 and 32x32 histograms must equal the distributions implied by coarsenings of the 64x64 histogram distribution. The histogram limit is the random object obtained by infinite refinement. (From B. Kleijn, Existence and phase structure of random inverse limits measures. (Mathematics 13 (2025), 2309; see also poster Euclidean phi44 theory with random inverse limit measures: existence, quantization and renormalization (WAIS, Berlin, 15-17 Oct 2025; w/ G. Meyl).)