particles and quantum fields
... of this method. It permits to extend the sum of bubbles and ladders to sums of diagrams of many different topologies. This makes them applicable in the regime of strong couplings, where they can be used to study various many-body phenomena even in the so-called critical regime. There the interaction ...
... of this method. It permits to extend the sum of bubbles and ladders to sums of diagrams of many different topologies. This makes them applicable in the regime of strong couplings, where they can be used to study various many-body phenomena even in the so-called critical regime. There the interaction ...
On measure concentration of vector valued maps
... For t ∈ R, let T (t) = γ1 ([t, ∞)) = P(g ≥ t). Obviously, T (t) = 1 − Φ(t), where Φ is the standard normal distribution function but using the function T will be more convenient in our computations. Let θ be a random vector uniformly distributed on the unit sphere S k−1 ⊆ Rk , independent of g, g1 , ...
... For t ∈ R, let T (t) = γ1 ([t, ∞)) = P(g ≥ t). Obviously, T (t) = 1 − Φ(t), where Φ is the standard normal distribution function but using the function T will be more convenient in our computations. Let θ be a random vector uniformly distributed on the unit sphere S k−1 ⊆ Rk , independent of g, g1 , ...
Ill--Posed Inverse Problems in Image Processing
... represents jth column of A A ej = b = vec(B) = [b1T , . . . , bkT ]T . The matrix A is composed columnwise by unfolded PSFs corresponding to SPIs with different positions of the nonzero pixel. ...
... represents jth column of A A ej = b = vec(B) = [b1T , . . . , bkT ]T . The matrix A is composed columnwise by unfolded PSFs corresponding to SPIs with different positions of the nonzero pixel. ...
