{ "item_title" : "Mod-ϕ", "item_author" : [" Valentin Féray", "Pierre-Loïc Méliot", "Ashkan Nikeghbali "], "item_description" : "The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and L vy's continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. ", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/31/946/821/3319468219_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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