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Hierarchical lattices that constitute spatially anisotropic systems areintroduced. These lattices provide exact solutions for hierarchical models and,simultaneously, approximate solutions for uniaxially or fully anisotropic d=3physical models. The global phase diagrams, with d=2 and d=1 to d=3 crossovers,are obtained for Ising, XY magnetic models and percolation systems, includingcrossovers from algebraic order to true long-range order.Comment: 7 pages, 12 figures. Corrected typos, added publication informatio

physical review. e, statistical, nonlinear and soft matter physics

Phase diagrams and crossover in spatially anisotropic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math>Ising,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>magnetic, and percolation systems: Exact renormalization-group solutions of hierarchical models

Phase diagrams and crossover in spatially anisotropicd=3Ising,XYmagnetic, and percolation systems: Exact renormalization-group solutions of hierarchical models