The Model and the Partition Functions
Analytic Properties of Potts and Ising Model Partition Functions and the Relationship between Analytic Properties and Phase Transitions in Equilibrium Statistical Mechanics
... the partition functions on a range of lattices, particularly two- and three-dimensional ...the partition functions and their relationship to physical observables in equilibrium near phase ...
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Bounds on the complex zeros of (Di)Chromatic polynomials and Potts-model partition functions
... [90] Salas, J. and Sokal, A.D. (2000) Transfer matrices and partition-function zeros for antiferro- magnetic Potts models, I: General theory and square-lattice chromatic polynomial. Preprint, cond-mat/0004330 at ...
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Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights
... Hereafter we will refer to a polymer gas in which polymers are subsets of a given set V and the incompatibility relation is nonempty intersection as “a gas of nonoverlapping polymers living on V ”. Proof of Proposition ...
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MOLECULAR PARTITION FUNCTIONS
... Translational Partition Functions The electronic energy levels are generally very widely separated in energy compared to the thermal energy kT at room ...useful model to start ...
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The computational complexity of approximation of partition functions
... A key technical challenge in the proof is to characterise the Gibbs distribution of the two-spin model on the lattice gadget. We show that the spins of the vertices do exhibit long-range correlation. In fact, the ...
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Commuting quantum circuits and complexity of Ising partition functions
... spin partition function with a certain approximation ...Ising partition functions In this section, we establish a bridge between IQP and Ising partition ...the partition function of the ...
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Exact Partition Functions of Interacting Self-Avoiding Walks on Lattices
... simplest model for homopolymers and serves as the framework of simple models for biopolymers, such as DNA, RNA, and protein, which are important components in complex systems in ...exact partition ...
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Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
... the partition functions of certain graphs, that encode the connectivity of the manifold induced by permutation twist ...boson model, that the qubit result holds in any dimensionality, and for any ...
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Accelerating calculations of RNA secondary structure partition functions using GPUs
... Parallelization of the partition function calculation using CUDA In the CUDA programming model, overall execution of the program is still governed by the CPU. Compute- intensive portions of the program are ...
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Radial basis functions with partition of unity method for American options with stochastic volatility
... traditional model in the 1980s, when Hull and White ( 1987 ) and others generalised the Black–Scholes model in order to get a better match with market ...The model presented by Heston ( 1993 ) is the ...
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Computing partition functions of PCFGs
... In the field of NLP this has been frequently applied for the purpose of maximum entropy parameter estimation (Malouf, 2002). We further consider Broyden’s method for the computation of partition functions. ...
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A FAMILY OF LACUNARY PARTITION FUNCTIONS
... LACUNARY PARTITION FUNCTIONS Alexander ...lacunary partition functions by using in- teresting properties of indefinite quadratic ...colored partition functions by paraphrasing ...
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Development of Partition Functions of Ramanujan’s Works
... 2-Assistant Professor, Premier University, Chittagong, Bangladesh, E-mail: [email protected] Abstract In 1986, Dyson defined the rank of a partition as the largest part of a partition minus the number ...
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Congruence properties of binary partition functions
... The paper is organized as follows. In section two, we review some fa- miliar facts about polynomials and rational functions over F 2 . Most of this material can be found in [9], and is included here for the sake ...
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The Uniqueness and Irreducibility of P-partition Generating Functions.
... quasisymmetric functions, we give necessary conditions for two posets to have the same generating ...linear functions that determine the number of maximal and minimal elements in a naturally labeled ...
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Development of Partition Functions of Ramanujan s Works
... 2-Assistant Professor, Premier University, Chittagong, Bangladesh, E-mail: [email protected] Abstract In 1986, Dyson defined the rank of a partition as the largest part of a partition minus the number ...
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A unified FPT Algorithm for Width of Partition Functions
... and partition functions as a generalized view of classical decompositions of graphs, namely tree-decomposition, path-decomposition, branch-decomposition, ...a partition function Φ, that ensures the ...
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CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS
... 2010 Mathematics subject classification: primary 11P83; secondary 05A17. Keywords and phrases: congruence, partition, theta function. 1. Introduction For any positive integer ` ≥ 2, a partition is said to ...
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Partition of the Linear Plasmid N15: Interactions of N15 Partition Functions with the sop Locus of the F Plasmid
... governs partition of the F plasmid; the promoter region contains similar operator sites, and the two putative gene products have extensive amino acid identity with the SopA and -B proteins of ...homologue ...
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Generalised partition functions: inferences on phase space distributions
... Bessel functions is motivated solely by their convergence properties and not by reference to any physical ...Gibbs–Boltzmann partition function is fundamental not only to Gibbs–Boltzmann but also to a large ...
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