The Partition Function
Computing the Partition Function for Cliques in a Graph
... using partition functions. 1.2 The partition function of cliques Let W = (w i j ) be a set of real or complex numbers indexed by unordered pairs {i, j} where 1 β€ i 6= j β€ n and interpreted as a set ...
17
The partition function zeroes of quantum critical points
... the partition function zeros of quantum critical points directly from the information contained in the numerical transfer matrix of the continuous-time Quantum Monte Carlo ...lattice partition ...
31
On the partition function for the three-dimensional Ising model
... Recall in Figure 3.8, by applying self-dual boundary conditions on 2d Ising model, the zeros comply better with the thermodynamic limit solution. The 3d Ising model is not however self-dual. So suppose we manipulate the ...
123
Phase Transitions and Zeros of the Partition Function: An introduction
... Let ππ = (ππ 1 , ππ 2 , β― , ππ ππ ), such that ππ ππ = 0 if the ππ-th link is closed and ππ ππ β {1,Β·Β·Β· , πΊπΊ} if the link is open. The βrulesβ of our zipper, also, impose that if ππ ππ = 0 then ππ ππ+1 = 0. Imposing that ...
14
Approximating the Partition Function by Deleting and then Correcting for Model Edges
... This new edge-correction perspective on approximat- ing the partition function has a number of conse- quences. First, it provides a new perspective on the Bethe free energy approximation, and may serve as a ...
9
q series, elliptic curves, and odd values of the partition function
... there are many open problems and conjectures regarding the overall behavior of the partition function.. For instance, the following questions regard the parity of p(n).[r] ...
11
Quantum Barnes Function as the Partition Function of the Resolved Conifold
... harmonic function is recovered from its boundary ...holomorphic function in the bulk the unit disk and the Donaldson-Thomas theory comes closest to being a bulk theory by giving its Taylor coeο¬cients at ...
47
Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model
... egg-candy partition procedure, which means B has to be greater or equal to 2 in the summation of the right hand side of ...The partition in this case is that, the bridge goes into one basket and the ...
66
The stringy instanton partition function
... the partition function via supersymmetric localization on the ...instanton partition function in the point particle ...spherical partition function and the quantum Kahler ...
31
Bootstrapping the S5 partition function
... the partition function has poles at special values of the mass parameters due to the pinching mechanism of the integration contour, and taking the residues can be interpreted as RG flows to defect theories; ...
11
Approximating the Bethe partition function
... & Globerson, 2011) that models exist such that the true marginal probability cannot possibly be the location of a minimum of the Bethe free energy. Our work demon- strates an interesting connection between MAP ...
14
A recursive core for partition function form games
... a partition. The particular partition formed influences the payoff of residual players and this triggers a reaction: the residual players find themselves in a game that is embedded in the original game, but ...
18
A recursive core for partition function form games
... a partition. The particular partition formed influences the payoff of residual players and this triggers a reaction: the residual players find themselves in a game that is embedded in the original game, but ...
Partition function and base pairing probabilities of RNA heterodimers
... the partition function because they already provide a parti- tion of the set of all secondary structures that can be formed by the sequence ...the partition function [31]. Let us write Z ij ...
10
Boundary Superstring Field Theory Annulus Partition Function in the Presence of Tachyons
... the partition function in the supersymmetric boundary sigma model on the annulus for the case of the exactly solvable linear tachyon ...Greenβs function method and the boundary state formalism, ...
33
Reduced Partition Function Ratio in the Frequency Complex Plane: A Mathematical Approach
... the partition function in the classical mechanism ...the partition function and free energy to calculate the isotope fractionation ...vibrational partition function of the ...
54
A Partition Function Algorithm for Nucleic Acid Secondary Structure Including Pseudoknots
... Figure S3. Schematic for interpreting the pseudocode of Supplementary Material Figure S2, which computes the interior loop contributions to the partition function in O(N 3 ). For a given i (with j implied ...
7
The Shapley Value for Partition Function Form Games
... + Department of Economics, and CentER, Tilburg University. Warandelaan 2, P.O.Box 90513, 5000 LE Tilburg, The Netherlands. Abstract: Diο¬erent axiomatic systems for the Shapley value can be found in the literature. For ...
13
The Consensus Value for Games in Partition Function Form
... Values for such games can be found in Myerson (1977), Bolger (1986), Feldman (1994), Potter (2000), and Pham Do and Norde (2002). All of them are in some way extensions of the Shapley value for cooperative TU games in ...
35
Preconditioning for radial basis function partition of unity methods
... basis function (RBF) methods are of interest for solving par- tial differential equations due to attractive convergence properties, flexibility with respect to geometry, and ease of ...as partition of unity ...
20