The purpose of this note is to point out the connection between the invariance property of M IM 11 and GIl G I1 queues (which has been reported in several papers) and the interchangeability and reversibility properties of tandem queues. This enables us to gain new insights for both problems and obtain stronger invariance results for MIM/l, GIIG/I, as well as loss systems MIM/IIN, GIIG/IIN and t...

In this Letter I stress the role of causal reversibility (time symmetry), together with causality and locality, in the justification of the quantum formalism. First, in the algebraic quantum formalism, I show that the assumption of reversibility implies that the observables of a quantum theory form an abstract real C^{⋆} algebra, and can be represented as an algebra of operators on a real Hilbe...

We investigate the reduction to finite fields of polynomial automorphisms of the plane, which lead to invertible dynamics (permutations) of a finite space. We provide evidence that, if the map of the plane is non-integrable, then the presence or absence of a type of time-reversal symmetry called R-reversibility produces a clear signature in the cycle statistics of the associated permutation. If...

It is well known that the use of a modular approach for modeling has many advantages: it allows the modeler to consider different parts of the model independently of one another. A modular approach to analysis is also attractive: it often dramatically decreases the complexity of the analysis task. To create Petri net models of large systems, four bottom-up techniques, consisting of sharing oper...

The time-reversibility of a Markov process implies a particular structure of the score function. It is explored which martingale estimating functions and other unbiased estimating functions have a similar structure. This leads to an estimating function with a semiparametric efficiency property. Also relations to martingale estimating functions based on eigenfunctions of the infinitesimal genera...

We prove that, for κ ∈ (0, 4) and ρ ≥ (κ − 4)/2, the chordal SLE(κ; ρ) trace started from (0; 0) or (0; 0−) satisfies the reversibility property. And we obtain the equation for the reversal of the chordal SLE(κ; ρ) trace started from (0; b0), where b0 > 0.

An attractive property of attribute-value grammars is their reversibility. Attribute-value grammars are usually coupled with separate statistical components for parse selection and fluency ranking. We propose reversible stochastic attribute-value grammars, in which a single statistical model is employed both for parse selection and fluency ranking.

An easy-to-synthesize Schiff base as a selective and colorimetric fluoride sensor via modulation of intramolecular charge transfer (ICT) has been demonstrated. A typical dual-ion binding property along with its distinct reversibility has been explored for YES, NOR and INH logic functions and a potential "Write-Read-Erase-Read" mimic.

This paper presents an encoding of Generation-TAG (G-TAG) within Abstract Categorial Grammars (ACG). We show how the key notions of G-TAG have a natural interpretation in ACG, allowing us to use its reversibility property for text generation. It also offers solutions to several limitations of G-TAG.