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interactions on the square lattice
, 2013
"... Selfavoiding trails with nearestneighbour interactions on the square lattice This article has been downloaded from IOPscience. Please scroll down to see the full text article. ..."
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Selfavoiding trails with nearestneighbour interactions on the square lattice This article has been downloaded from IOPscience. Please scroll down to see the full text article.
The Hexagonal Versus the Square Lattice
 Math. Comp
, 2002
"... A conjecture of Schmutz Schaller [17, p. 201] regarding the lengths of the hexagonal versus the lengths of the square lattice is shown to be true. The proof uses results from (computational) prime number theory and from [10]. Using an identity due to Selberg, it is shown that the conjecture can in ..."
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Cited by 6 (3 self)
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A conjecture of Schmutz Schaller [17, p. 201] regarding the lengths of the hexagonal versus the lengths of the square lattice is shown to be true. The proof uses results from (computational) prime number theory and from [10]. Using an identity due to Selberg, it is shown that the conjecture can
The Tutte Polynomial on the square lattice
, 2001
"... Evaluations of Tutte polynomial in points of the plane range very wide and include such quantities as the chromatic and ow polynomials of a graph and the partition functions of Ising, Potts and random cluster models of statistical physics. The computation of most of those quantities are #Phard for ..."
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sense, the smallest graph not bounded tree width is the grid. Here, we obtain the Tutte polynomial on the nxm section of the square lattice in polynomial time and some asymptotic results. 1
Emotional agents at the square lattice
, 2010
"... We introduce and investigate by numerical simulations a number of models of emotional agents at the square lattice. Our models describe the most general features of emotions such as the spontaneous emotional arousal, emotional relaxation, and transfers of emotions between different agents. Group emo ..."
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Cited by 4 (0 self)
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We introduce and investigate by numerical simulations a number of models of emotional agents at the square lattice. Our models describe the most general features of emotions such as the spontaneous emotional arousal, emotional relaxation, and transfers of emotions between different agents. Group
Polygonal polyominoes on the square lattice
 J. PHYS. A: MATH. GEN. 34 (2001) 3721–3733
, 2001
"... We study a proper subset of polyominoes, called polygonal polyominoes, which are defined to be selfavoiding polygons containing any number of holes, each of which is a selfavoiding polygon. The staircase polygon subset, with staircase holes, is also discussed. The internal holes have no common ver ..."
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Cited by 1 (1 self)
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vertices with each other, nor any common vertices with the surrounding polygon. There are no ‘holeswithinholes’. We use the finitelattice method to count the number of polygonal polyominoes on the square lattice. Series have been derived for both the perimeter and area generating functions. It is known
The square lattice shuffle
, 2005
"... We show that the operations of permuting columns and rows separately and independently mix a square matrix in constant time. ..."
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Cited by 1 (0 self)
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We show that the operations of permuting columns and rows separately and independently mix a square matrix in constant time.
of a squarelattice Ising
, 2002
"... Scaling analysis of a divergent prefactor in the metastable lifetime ..."
Fate of the Wigner crystal on the square lattice
, 2005
"... The phase diagram of a system of electrons hopping on a square lattice and interacting through longrange Coulomb forces is studied as a function of density and interaction strength. The presence of a lattice strongly enhances the stability of the Wigner crystal phase as compared to the case of the ..."
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The phase diagram of a system of electrons hopping on a square lattice and interacting through longrange Coulomb forces is studied as a function of density and interaction strength. The presence of a lattice strongly enhances the stability of the Wigner crystal phase as compared to the case
Selfavoiding polygons on the square lattice
 Journal of Physics A
, 1999
"... We have developed an improved algorithm that allows us to enumerate the number of selfavoiding polygons on the square lattice to perimeter length 90. Analysis of the resulting series yields very accurate estimates of the connective constant µ = 2.63815852927(1) (biased) and the critical exponent α ..."
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Cited by 17 (6 self)
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We have developed an improved algorithm that allows us to enumerate the number of selfavoiding polygons on the square lattice to perimeter length 90. Analysis of the resulting series yields very accurate estimates of the connective constant µ = 2.63815852927(1) (biased) and the critical exponent α
Results 1  10
of
2,696