There is a correspondence between integrable lattice models of statistical mechanics and discrete equations which satisfy multidimensional consistency, where the latter may be found in quasi-classical expansion former. This paper extends this to interaction-round-a-face (IRF) models, resulting new formulation consistency-around-a-cube (CAC) integrability condition applicable five-point square l...

We consider an open model possessing a Markovian quantum stochastic limit and derive the limit stochastic Schrödinger equations for the wave function conditioned on indirect observations using only the von Neumann projection postulate. We show that the diffusion (Gaussian) situation is universal as a result of the central limit theorem with the quantum jump (Poissonian) situation being an excep...

When a group of authors collaboratively edits interrelated documents, consistency problems occur almost immediately. Current document management systems (DMSs) provide useful mechanisms such as document locking and version control, but often lack consistency management facilities. At best, consistency is “defined” via informal guidelines, which do not support automatic consistency checks. In th...

We establish the large central charge behaviour of entanglement negativity for a mixed state configuration single interval enclosed between two intervals in holographic $CFT_{1+1}$. To this end we utilize monodromy technique to elucidate limit four point twist correlator which characterizes configuration. Subsequently analyze six reduces above specific limit. The results provide strong consiste...

We prove the consistency of the averaged periodogram estimator (APE) in two new cases. First, we prove that the APE is consistent for negative memory parameters, after suitable tapering. Second, we prove that the APE is consistent for a power law in the cross-spectrum and therefore for a power law in the coherency, provided that sufficiently many frequencies are used in estimation. Simulation e...

Abstracts of oral presentations appear in chronological order, followed by abstracts of poster presentations in alphabetical order. All abstracts were edited for consistency of style, spelling, and grammar according to the American Society of Agronomy style guidelines. In some cases, abstracts were also edited for to fit the two-page limit.s of oral presentations appear in chronological order, ...

The present study aims at insights into the nature of incremental learning in the context of Gold’s model of identification in the limit. With a focus on natural requirements such as consistency and conservativeness, incremental learning is analysed both for learning from positive examples and for learning from positive and negative examples. The results obtained illustrate in which way differe...