We show theoretically that the hypothesis of criticality as a theory of long-range fluctuation in the human brain may be distinguished from the theory of passive filtering on the basis of macroscopic neuronal signals such as the electroencephalogram, using novel theory of narrowband amplitude time-series at criticality. Our theory predicts the division of critical activity into meta-universalit...

Both in classical and quantum stochastic control theory a major role is played by the filtering equation, which recursively updates the information state of the system under observation. Unfortunately, the theory is plagued by infinite-dimensionality of the information state which severely limits its practical applicability, except in a few select cases (e.g. the linear Gaussian case.) One solu...

Neutrinoless double beta (ββ0ν) decay violates lepton number; its absence stringently constrains the parameters of theories beyond the standard model in which the neutrino has a Majorana mass. R-parity violating weak-scale supersymmetry is a prominent example of such models. Double beta decay in supersymmetry with explicit bilinear R-parity breaking is discussed and current limits on the ββ0ν d...

An output stabilisation technique for infinite dimensional bilinear systems is presented. It consists in studying the asymptotic behaviour of such a system only on a subregion of its geometrical domain, so we give sufficient conditions to obtain a stabilising control. Also, we concentrate on the determination of the control which ensures regional stabilisation by minimising a given performance ...

Abstract. In the modern world formal voting theories are becoming established and can be used to determine if a Voting System (VS) is fair or not in order to preserve democracy. The Argumentation Framework (AF) is based on the exchange and the evaluation of interacting arguments which may represent information of various kinds. We define a bijective mapping between the two theories and investig...

We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from Z actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory.

A general linear theory is presented which describes the extension of the convolutional method to nonstationary processes. Two alternate extensions are explored. The first, called nonstationary convolution, corresponds to the linear superposition of scaled impulse responses of a nonstationary filter. The second, called nonstationary combination, does not correspond to such a superposition but i...