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Showing 1 to 20 of 93 for “"Partition function"”.
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Approximating the Log-Partition Function
… to inference tasks such as computing the partition function (exact inference) or approximating the log-partition function (approximate inference). In this master thesis, we will motivate the need for a general constant-factor approximations of the log-partition function and prove that a …
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Fast program for sequence alignment using partition function posterior probabilities
The key requirements of a good sequence alignment tool are high accuracy and fast execution. The existing Probalign program is a highly accurate tool for sequence alignment of both proteins and nucleotides. However, the time for execution is fairly high. The focus is therefore, to reduce the …
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On the partition function for the three-dimensional Ising model
… model in the thermodynamic limit. The exact partition functions (typically summed over the order of 1075 states) for finite simple cubic Ising lattices are computed using a transfer matrix approach. Q-state Potts model partition functions on two- and three-dimensional lattices are also …
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On sequences related to binary partition function and the Thue-Morse sequence
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-09-27 without embargo terms
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Extending the Information Partition Function: Modeling Interaction Effects in Highly Multivariate, Discrete Data
… We then propose extensions of the information partition function (IPF) derived by Engler (2002), Oliphant (2003), and Tolley (2006) that will allow modeling of discrete, highly multivariate data in linear models. We report results of the modified IPF model on the World Health Organization's …
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The development of h Homogeneous nucleation rate model for thermoplastic foams based on a molecular partition function and Fickian diffusion
… an energy term that is based on a molecular partition function. In this approach, the bulk phase (polymer and blowing, agent mixture) of the system is treated as a regular solution and the potential energy of this phase is estimated from regular solution theory. The rate component of the …
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Some analytic aspects of Vafa-Witten twisted N̳ = 4 supersymmetric Yang-Millseory theory
… believe that this theory has a well-defined partition function, which depends on a single complex parameter. On one hand, the S-duality conjecture predicts that this partition function is a modular form. On the other hand, the Fourier coefficients of the partition function are supposed to be …
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Cell model of a fluid with hard-core repulsive long-range attractive potential
… that with an appropriate change in the potential function the model is also suitable for a two- or three-dimensional fluid with more restricted interactions. The man-fermion-like nature of the system resulting from the hard-rod repulsive part of the modified Lennard-Jones potential makes possible …
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Topics in Analytic Number Theory
In the second chapter we study the Multiplicative Partition Function. In the third chapter we study an analog of the abc conjecture for arithmetical functions in r variables over a field K of characteristic zero.
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Probabilistic Schwarzian Field Theory
… to the Schwarzian Theory and compute its partition function (i.e. total mass). Here $\SL(2, \R)$ is the group of conformal isomorphisms of a unit disc restricted to its boundary. Our construction is based on the appropriate reparametrisation of the Brownian bridge measure, and the …
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Path integrals and the quantum Routhian
… able to obtain the quantum corrections to the partition function. Finally, we attempt to develop a general method for approximating the partition function for a particle on a sphere if there is a conserved azimuthal momentum, and consider in detail the free particle on a sphere. We reduce the …
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Calculation of interface tension and stiffness in a two dimensional Ising Model by Monte Carlo simulation
… by their tension and stiffness. Then the partition function can be calculated as a function of the magnetization with the interface tension and stiffness as parameters. Simulating the two dimensional Ising Model on square lattices of various sizes, the partition function is determined in …
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Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities
Chapter 4 is devoted to finding new partition identities inspired by the work of O. Kolberg and S. Ramanujan. We use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations, and then derive new identities satisfied by n=0infinity p(ln + k) qn, where p(n) is the …
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Data-driven linear interatomic potentials
… interatomic potentials to approximate the partition function with first-principles accuracy. From the partition function, free energies and specific heat capacities are then computed, and used to locate first-order phase transitions. These results show good agreement with experimental …
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Exact Solutions to the Six-Vertex Model with Domain Wall Boundary Conditions and Uniform Asymptotics of Discrete Orthogonal Polynomials on an Infinite Lattice
In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the ferroelectric phase region, we show that $Z_n=CG^nF^{n^2}(1+O(e^{-n^{1-\ep}}))$ for any $\ep>0$, and …
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Deformations of characters, metaplectic Whittaker functions, and the Yang-Baxter equation
… theoretic quantities as generating functions on certain symmetry classes of ASMs or generalizations of them. Brubaker, Bump, and Priedberg used a Yang-Baxter equation to reprove Tokuyama's result and this work seeks to do the same for a generalization of Okada's results in type B. We …
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Approximate inference : decomposition methods with applications to networks
… computing Maximum a Posteriori (MAP) and the log-partition function for arbitrary positive pair-wise MRF defined on a graph G. Our algorithm is based on decomposition of G into appropriately chosen small components; then computing estimates locally in each of these components and then producing a …
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Classical and thermodynamic stability of black holes
… and their contributions to the gravitational partition function. Exploring the connection between classical and thermodynamic stability, we find classical instabilities and new families of vacuum black holes. We start by studying negative modes of black hole partition functions, which …
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Finite size corrections to the equation of state for nuclear matter near the phase transition hadron gas to quark gluon plasma
… of the hadrons. The grand canonical pressure partition function is used. to obtain the thermodynamic limit. The grand canonical partition function is restricted so that only those states where the extended particles fit into the volume of the system, are counted. The configuration space is …
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The study of many-electron systems
… scheme which uses specific many-electron wavefunctions as basis is applied to both one- and two-dimensional systems represented by symmetric Anderson lattice Hamiltonians. Without much computational effort, the ground state energy is well approximated, especially in strong-coupling limit. Some …
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