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Mixed state estimation for a linear Gaussian Markov model
Discrete dynamical system Boolean state of continuous linear transmission Boolean state variables noise markov chain
2015/8/10
We consider a discrete-time dynamical system with Boolean and continuous states, with the continuous state propagating linearly in the continuous and Boolean state variables, and an additive Gaussian ...
Tightness of the recentered maximum of the two-dimensional discrete Gaussian Free Field
recentered maximum two-dimensional discrete Gaussian Free Field
2010/12/8
We consider the maximum of the discrete two dimensional Gaussian free field (GFF) in a box, and prove that its maximum, centered at its mean, is tight, settling a long–standing conjecture. The proof c...
The optimal unitary dilation for bosonic Gaussian channels
optimal unitary dilation bosonic Gaussian channels
2010/12/15
A generic quantum channel can be represented in terms of a unitary interaction between the informationcarrying system and a noisy environment.