- Lattice reduction analysis (in particular I was co-advisor with Brigitte Vallée et Loïck Lhote of the PhD Thesis of Mariya Georgieva (defended in December 2012) « Analyse probabiliste de la réduction des réseaux euclidiens cryptographiques ».
- Analysis of algorithms based on data structures (tries and binary search trees) with non uniform probabilities with tools like generating functions, Mellin transform and functional analysis.
- Study of patterns occurences in texts with applications to biology.
- Optimal prefix codes for infinite alphabets.
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