Lattice Animals

Lattice AnimalA distinct (including reflections and rotations) arrangement of adjacent squares on a grid, also called a fixed polyomino. ...

The scaling behavior of randomly branched polymers in a good solvent is studied in two to nine dimensions, modeled by lattice animals on simple hypercubic...

Lattice animal is a set of connected sites on a lattice. Lattice animals on a square lattice are especially popular subject of study and are also ...

Lattice animals and percolation : By C. Domb; Wheatstone Physics Laboratory, King's College, Strand, London WC2R 2LS, EnglandShow moreShow less...

It is shown here that for a given class of lattices in all dimensionalities, trees are absent and series-expansion analyses favor a singularity hierarchy...

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transition in the Ising model and we need to know if exponential upper bounds exist for the number of lattice animals with boundary of size ...

Assign to each site of the integer lattice ℤd a real score, sampled according to the same distribution F, independently of the choices made at all...

We have developed an improved algorithm that allows us to enumerate the number of site animals on the square lattice up to size 46. We also calculate ...

Lattice animals on a square lattice are especially popular subject of study and are also known as polyominoes. Polyomino is usually represented as a set ...