In this paper some sufficient conditions are given for when two bounded rank-one transformations non-isomorphic and they disjoint. We also obtain a transformation to have minimal self-joinings. For c

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. many cases, the challenge to discover low-dimensional structure in data, often concealed by existence of nuisance parameters and noise. Motivated such challenges, we consider problem estimating signal its scaled, cyclically shifted noisy observations. We focus on particula...

We provide the first positive result on nonsmooth optimization landscape of robust principal component analysis, to best our knowledge. It is object several conjectures and remains mostly uncharted territory. identify a necessary sufficient condition for absence spurious local minima in rank-one case. Our proof exploits subdifferential regularity objective function order eliminate existence qua...

We find the conditions under which the spectrum of the unitary time evolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equiva...

We find the conditions under which the spectrum of the unitary timeevolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equival...

We find the conditions under which the spectrum of the unitary time evolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equiva...

In this paper, we investigate the multiple attribute group decision making (MAGDM) problems for for evaluating the information security risk with intuitionistic fuzzy information. We utilize the induced intuitionistic fuzzy ordered weighted averaging (I-IFOWA) operator and intuitionistic fuzzy weighted averaging (IFWA) operator to aggregate the intuitionistic fuzzy information corresponding to ...

We introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, “as close as possible” to orthonormal bases for the space of quantum states. These measures are distinguished by an exceptionally simple state-reconstruction formula which allows “painless” quantum state tomography. Complete sets of mutually unbiased bases and symmetric i...