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On the deletion channel with small deletion probability
Delete channel point-to-point communication small expansion remove probability
2015/8/21
The deletion channel is the simplest point-to-point communication channel that models lack of synchronization. Despite significant effort, little is known about its capacity, and even less about...
Littlewood asked how small the ratio $||f||_4/||f||_2$ (where $||.||_\alpha$ denotes the $L^\alpha$ norm on the unit circle) can be for polynomials $f$ having all coefficients in $\{1,-1\}$, as the de...
On the automorphy of $l$-adic Galois representations with small residual image
small residual image Galois representations Number Theory
2011/9/23
Abstract: We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into $GL_n$. Existing theorems require that the residual representation have 'big' image, ...
Targetability of chaotic sets with small parameter perturbations
Chaotic set targetability Lie rank condition geometric control dynamical systems
2010/12/28
In this paper targetability of chaotic sets with small controls is discussed by virtue of some results of geometric control theory. It is proved that given a chaotic set Λ, it is possible to steer a o...
We consider a stochastic volatility model with L´evy jumps for a log-return pro-cess Z = (Zt)t≥0 of the form Z = U +X, where U = (Ut)t≥0 is a classical stochastic volatility process and X = (Xt)...