By Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali

The canonical approach to determine the crucial restrict theorem for i.i.d. random variables is to take advantage of attribute services and Lévy’s continuity theorem. This monograph makes a speciality of this attribute functionality technique and provides a renormalization conception referred to as mod-ϕ convergence. this sort of convergence is a comparatively new inspiration with many deep ramifications, and has now not formerly been released in one obtainable quantity. The authors build an exceptionally versatile framework utilizing this idea in an effort to examine restrict theorems and massive deviations for a few probabilistic types relating to classical likelihood, combinatorics, non-commutative random variables, in addition to geometric and number-theoretical objects. 
Intended for researchers in chance concept, the textual content is thoroughly well-written and well-structured, containing a large amount of element and engaging examples. 

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