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cognitive development, language development, learning mechanisms, statistical learning and statistical inference, conceptual development, developmental psychology, word learning, physical reasoning, social cognition in infants and children, learning in infants and young children, computational models of cognitive development, cognitive development and AI models, psychology and philosophy

large random combinatorial structures, random matrices, superprocesses & other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, population genetics, phylogenetics & historical linguistics