We investigate the effects of dephasing on the current statistics of mesoscopic conductors with a recently developed statistical model, focusing, in particular, on mesoscopic cavities and Aharonov-Bohm rings. For such devices, we analyze the influence of an arbitrary degree of decoherence on the cumulants of the current. We recover known results for the limiting cases of fully coherent and tota...

This communication deals with narrow-band array processing using higher-order cumulants. A versatile tensor formalism is presented and adopted throughout to handle higher-order statistics of complex multivariates. We essentially focus on the use 4th-order cumulants for source localization in the spirit of the modern "subspace" techniques. We discuss "full cumulant tensor" solutions and their "d...

We investigate the linear stability of a neural network with distributed delay, where the neurons are identical. We examine the stability of a symmetrical equilibrium point via the analysis of the characteristic equation both when the connection matrix is symmetric and when it is not. We determine a mean delay and distribution independent stability region. We then illustrate a way of improving ...

For a thermal field theory formulated in the grand canonical ensemble, the distribution of the total momentum is an observable characterizing the thermal state. We show that its cumulants are related to thermodynamic potentials. In a relativistic system, for instance, the thermal variance of the total momentum is a direct measure of the enthalpy. We relate the generating function of the cumulan...

A novel scaling for the distributions of total number of fragments (i.e., multiplicity) is found in the shattering phase of nonequilibrium, sequential-fragmentation process and in the percolation process. It is the counterpart of the Koba-Nielsen-Olesen scaling when multiplicity fluctuations are small. The relations between n-fragment cumulants and two-fragment cumulants provide easy tests to c...

The paper develops a way of embedding general martingales in continuous ones in such a way that the quadratic variation of the continuous martingale has conditional cumulants (given the original martingale) that are explicitly given in terms of optional and predictable variations of the original process. Bartlett identities for the conditional cumulants are also found. A main corollary to these...

According to the fact that high order cumulants (HOC) retain the phase information of signals and the HOC of the Gaussian color noise is always equal to zero, a new method of wavelet reconstruction is provided in this paper, based on 4th-order cumulants of non-Gaussian seismic signals. The feasibility of this method is demonstrated by the simulation of wavelet estimation for synthetic seismic t...

Taking up and extending earlier suggestions, we show how twoand three-dimensional shapes of secondorder HBT correlations can be described in a multivariate Edgeworth expansion around Gaussian ellipsoids, with expansion coefficients, identified as the cumulants of pair momentum difference q, acting as shape parameters. Off-diagonal terms dominate both the character and magnitude of shapes. Cumul...

We give a simple recipe based on the use of discrete derivative, to obtain generalized bit-moments obeying nonadditive statistics of Tsallis. The generalized bit-cumulants may be of two kinds, first which preserve the standard relations between moments and cumulants of a distribution, and are nonadditive with respect to independent subsystems. The second kind do not preserve usual moment-cumula...