The aim of this booklet is to enhance the interface among actual sciences, theoretical computing device technological know-how, and discrete arithmetic. The intersection of combinatorics and statistical physics has been a space of significant task over the last few years, fertilized by way of an alternate not just of concepts yet of ambitions in addition. the various issues of specific curiosity are: percolation, random coloring, blending, homomorphisms from and to fastened graph, part transitions, threshold phenomena. This e-book is aimed to collect theoretical physicists and experts of theoretical informatics and discrete arithmetic so as to study extra approximately contemporary advancements in cryptography, algorithmics, symbolic calculus, non-standard numeration structures, algebraic combinatorics, automata etc., that can display themselves to be of an important curiosity in usual sciences. This quantity is prepared alongside the next tough thematic department: Physics; Chaos and Fractals; Quasi-Crystals and Tilings; Numeration, Automata, and Languages; Algebraic Combinatorics; and Graphs and Networks.
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