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Which communication rates can be attained over an unknown channel where the relation between the input and output can be arbitrary? A channel where the output is any arbitrary (possibly stochastic) fu...
Spectrum is the most valuable resource in the communication system, but unfor-tunately, so far, a half of the spectrum has been wasted, that is negative frequency spectrum.
The dynamics of well-mixed biological populations is usually studied by mean-field methods and weak-noise expansions. Similar methods have been applied also in spatially extended problems, relying on ...
Removing noise from piecewise constant (PWC) signals, is a challenging signal processing problem arising in many practical contexts. For example, in exploration geosciences, noisy drill hole records n...
It presents and analyzes the Euler methods for stochastic age-dependent population equations driven by Poisson random jump measure; Under the Local Lipschitz condition, we prove that the Euler approxi...
In this paper, we study the well known equation which is the Black-Scholes equation in the form of white noise. We found the kernel of such equation and obtained some interesting properties of such ke...
We describe general characteristics of the Hodgkin-Huxley neuron's response to a periodic train of short current pulses with Gaussian noise. The deterministic neuron is bistable for antiresonant frequ...
We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable phases as boundary con...
The GOMOS ozone profiles have been analysed to evaluate the GOMOS ability to capture the long-term ozone evolution at mid-latitudes during the expected recovery phase of the ozone layer. Version 5 of ...
We consider molecular communication, with information conveyed in the time of release of molecules.The main contribution of this paper is the development of a theoretical foundation for such a communi...
We construct solutions to Burgers type equations perturbed by a multiplicative spacetime white noise in one space dimension.
We investigate rotational spin noise (referred to as timing noise) in non-accreting pulsars: millisecond pulsars, canonical pulsars, and magnetars. Particular attention is placed on quantifying the st...
A method is given to compute the noise kernel, defined as the symmetrized con-nected 2-point function of the stress tensor, for the conformally invariant scalar field in the Hartle-Hawking state in Sc...
We consider a double quantum dot coupled to two normal leads and one superconducting lead, modeling the Cooper pair beam splitter studied in two recent experiments. Starting from a microscopic Hamilt...

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