Gibbs measures
Escape rates for Gibbs measures
... In this paper, we prove analogous results in the more general setting of Gibbs measures supported on conformal repellers. Much of the analysis is undertaken in the setting of subshifts of finite type; this ...
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Gibbs measures of nonlinear Schrödinger equations as limits of quantum many body states in dimensions d <=3
... In the PDE literature, the existence and the invariance under (1.3) of the Gibbs measures (1.1) was first shown by Bourgain in [8,10,11] (their existence was previously essentially shown by Lebowitz, Rose, ...
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Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures
... In Section 5 we treat the case of infinite-temperature dynamics, i.e., a product of inde- pendent Markov chains. This example already exhibits all the transitions between Gibbs and non-Gibbs we are after. ...
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Gibbs-non-Gibbs transitions and vector-valued integration
... sequentially Gibbs could be described in terms of the magnetisation, when we consider independent diffusions rather than Brownian motions we are forced to work with the empirical distribution, which is done in ...
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On The Lq dimensions of measures on Heuter Lalley type self affine sets
... a Gibbs measure. The measures we consider in this paper will be Gibbs, we refer the reader to [F2] for the definition of a Gibbs ...which measures cylinders like the singular value ...
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Dynamical Gibbs-non-Gibbs transitions : a study via coupling and large deviations
... the Gibbs measures are supported on configurations that are small perturbations of the configurations that minimize the Ising Hamiltonian (ground ...a Gibbs measure obtained from a weak limit along a ...
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Phase transitions and the random cluster representation for Delaunay Potts models with geometry dependent interactions
... same type, then neighbours near the boundary are more likely to be of type 1, and this neighbourhood dependence may be carried throughout the whole system so that we see large clusters of the same type. If the ...
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The Widom Rowlinson model on the Delaunay graph
... We establish phase transitions for continuum Delaunay multi-type particle systems (continuum Potts or Widom-Rowlinson models) with a repulsive interaction between particles of different types. Our interaction potential ...
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Gibbs Sampling for Bayesian Prediction of SARMA Processes
... the Gibbs sampling ...the Gibbs sampling algorithm to approximate empirically the marginal posterior and predictive distributions, enabling us easily to carry out multiple-step ahead ...
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Analysis of the Gibbs Sampler for hierarchical inverse problems
... Our numerical results confirmed our theory on the deterioration of CA as well as our intu- ition about the robustness of NCA in the large N limit. However, for NCA the δ -chain slows down in the small noise limit. This is ...
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Convergence Rates for a Hierarchical Gibbs Sampler
... Bayesian hierarchical models have been a popular statistical representation used to handle a variety of problems (see, for instance, [4,15,17] or [3,6,8,9]). The Gibbs sampler [7] has been a very popular MCMC ...
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Boltzmann Gibbs entropy: axiomatic characterization and application
... The expression (4.3) has, however, a drawback. It does not satisfy the additive or the extensive property of Boltzmann entropy postulated in Section 2. This fallacy is, in fact, due to Gibbs paradox [3, 4]. To ...
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Gibbs phenomenon for p ary subdivision schemes
... the Gibbs phenomenon always ...the Gibbs phenomenon of a Fourier series and wavelet expansions of a function with a jump discontinuity, in this paper, we consider that a Gibbs phenomenon occurs for ...
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Adaptive Gibbs samplers and related MCMC methods
... Proof of Theorem 4.10. We proceed as in the proof of Theorem 4.2, i.e. es- tablish diminishing adaptation and simultaneous uniform ergodicity and con- clude (12) and (13) from Theorem 1 of [44]. Observe that Lemma 4.5 ...
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Enterprise education: revisiting Whitehead to satisfy Gibbs
... As has been previously detailed, student presentations, workshop games, case study discussions, a reflection journal, and time spent with an entrepreneur of their choice comprise the lea[r] ...
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Representation of complex probabilities and complex Gibbs sampling
... The construction of direct representations just discussed becomes rapidly inviable as the dimension of the manifold increases. This suggests a heat bath approach. As in the standard Gibbs sampling, each variable ...
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Simulating fluid-solid equilibrium with the Gibbs ensemble
... the Gibbs-free-energy difference between two sys- tems that differ only in their size, yet because the Gibbs free energy scales linearly with size the absolute Gibbs free en- ergy 共and chemical ...
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Probabilistic Inference in Piecewise Graphical Models
... conditioned on functions of random variables. Such observations were consid- ered to be the limit of measurements with normal noise where the noise variance tends to zero. The limiting processes had to be defined within ...
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Thermodynamic Study and Analysis of Dimethyl Ether Steam Reforming Reaction
... a Gibbs reactor model in Aspen Plus 7.2, Aspen Tech software.The Gibbs reactor allows the determination of the equilibrium composition of a reacting system by specifying the valid phases and the compounds ...
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Active learning for ontological event extraction incorporating named entity recognition and unknown word handling
... that measures the probabilities of the expression of multiple events in documents and 2) by using a named entity recognition system that locates the named entities that can be event arguments ...
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