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Random walks are stochastic processes formed by successive summation of independent, identically distributed random variables and are one of the most studied topics in probability theory. This contemporary introduction evolved from courses taught at Cornell University and the University of Chicago by the first author, who is one of the most highly regarded researchers in the field of stochastic processes. This text meets the need for a modern reference to the detailed properties of an important class of random walks on the integer lattice. It is suitable for probabilists, mathematicians working in related fields, and for researchers in other disciplines who use random walks in modeling.

Random walks (Mathematics) --- Stochastic processes. --- Random processes --- Probabilities --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Stochastic processes

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"Processes of construction are related to available technologies of production and assembly. IT has made a deep impact on design possibilities and the control of production logistics - enabling feats such as free-form architecture and increasingly precise elaboration. Alternately, the idea of Rapid Prototyping and Rapid Manufacturing Technology provides the chance to create one-off components and elements for architecture. We now have the opportunity to design and construct without the disadvantages of production resistance and assembly needs - to realize genuine IT-driven architecture."--Back cover.

691 --- 692 --- 692.23 --- 69 --- 69.01 --- 692.23 Exterior, external walls. Enclosing walls above ground generally. Walls in elevation. Façades --- Exterior, external walls. Enclosing walls above ground generally. Walls in elevation. Façades --- 692 Structural parts and elements of buildings --- Structural parts and elements of buildings --- 691 Building materials. Building components --- Building materials. Building components --- Bouwtechniek --- Bouwconstructie --- Bouwdelen --- Constructiedelen --- Prototypage rapide --- Building materials --- Facades --- Layer structure (Solids) --- Rapid prototyping --- Rapid tooling --- Tooling, Rapid --- Manufacturing processes --- Desktop automated manufacturing --- Freeform fabrication --- Freeform manufacturing --- Prototyping, Rapid --- RP (Rapid prototyping) --- Prototypes, Engineering --- Laser sintering --- Layered structure (Solids) --- Crystallography --- Solids --- Architectural fronts --- Fronts (Architecture) --- Architecture --- Exterior walls --- Architectural materials --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials --- Materials --- Technological innovations --- Details --- Rapid prototyping. --- Conception technique --- Façades --- Conception et construction --- Prototypage rapide. --- Conception technique. --- Conception et construction. --- Additive manufacturing --- Facades - Technological innovations --- Building materials - Technological innovations --- Façades