EXCLUSION STATISTICS AND LATTICE RANDOM WALKS

Exclusion statistics and lattice random walks

We establish a connection between exclusion statistics with arbitrary integer exclusion Sunshades parameter g and a class of random walks on planar lattices, relating the generating function for the algebraic area of closed walks on the lattice to the grand partition function of particles obeying exclusion statistics g.Square lattice random walks,

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Temperature controlled evolution of monoclinic to super-tetragonal phase of epitaxial BiFeO3 thin films on La0.67Sr0.33MnO3 buffered SrTiO3 substrate

Epitaxial BiFeO3 thin films of 130nm were deposited by pulsed laser deposition (PLD) technique on La0.67Sr0.33MnO3 buffered SrTiO3 (001) substrate at various temperatures under different ambient oxygen pressures.Reciprocal space mapping reveals that, with decreasing temperature and oxygen pressure, the broadly reported monoclinic phase (MA) of BiFe

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