We present Clones, a Matlab toolbox for exact sampling from the stationary distribution of a closed queueing network with finite capacities. This toolbox is based on recent results using a compact representation of sets of states that enables exact sampling from the stationary distribution without considering all initial conditions in the coupling from the past (CFTP) scheme. This representatio...

It was recently shown that the brain-wide cerebrospinal fluid (CSF) and interstitial fluid exchange system designated the ‘glymphatic pathway’ plays a key role in removing waste products from the brain, similarly to the lymphatic system in other body organs . It is therefore important to study the flow patterns of glymphatic transport through the live brain in order to better understand its fun...

Entanglement of bosonic modes of material oscillators is studied in the context of two bilinearly coupled, nonlinear oscillators. These oscillators are realizable in the vibrational-cumbending motions of C-H bonds in dihalomethanes. The bilinear coupling gives rise to invariant subspaces in the Hilbert space of the two oscillators. The dynamics of entanglement and quadrature fluctuations is stu...

Discretization of a regular continuous-time descriptor-system, whose initial condition is consistent with its input, is considered using a general mapping method presented in our previous paper. The proposed mapping discrete-time model is shown to be a proper discretization under the definition explained in the paper. This assures that the response of the mapping model approaches that of the co...

We propose an extended quantum theory, in which the number of degrees of freedom K behaves as fourth power the number N of distinguishable states. As the simplex of classical N–point probability distributions can be embedded inside a higher dimensional convex body M Q N of mixed quantum states, one can further increase the dimensionality constructing the set of extended quantum states. The embe...

Certain experiments are nonrepeatable because they result in the destruction or alteration of the system under study, and thus provide data consisting of at most a single trajectory in state space. Before proceeding with parameter estimation for models of such systems, it is important to know whether the model parameters can be uniquely determined, or identified, from idealized (error-free) sin...

We call the following three assumptions standard assumptions • H is convex in p, i.e. for all x ∈ T we have that the Hessian matrix ∂ pipjH(x, p) is positive definite for all p ∈ R. • H is superlinear in p, i.e. for all x ∈ T we have that lim H(x, p)/|p| → +∞ as |p| → +∞ • The flow defined by (1) is complete, i.e. for each initial condition (x0, p0) ∈ T × R solutions of (1) exists for all time....

This paper proposes robust simulation of piecewise linear systems as a tool for the analysis of nonlinear electronic circuits. Rather than computing the evolution of a single trajectory, robust simulation computes the evolution from a set of initial conditions in the state space, for all forcing input signals within a given class. We describe here a tool to perform this analysis using mathemati...

In this paper we investigate coupling from the past (CFTP) algorithms for closed queueing networks. The stationary distribution has a product form only in a very limited number of particular cases when queue capacity is nite, and numerical algorithms are intractable due to the cardinality of the state space. Moreover, closed networks do not exhibit any monotonic property enabling e cient CFTP. ...

This work is concerned with the design and effects of the synchronization gains on the synchronization problem for a class of networked distributed parameter systems. The networked systems, assumed to be described by the same evolution equation in a Hilbert space, differ in their initial conditions. The proposed synchronization controllers aim at achieving both the control objective and the syn...