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Given a large positive integer N, how quickly can one construct a prime number larger than N (or between N and 2N)? Using probabilistic methods, one can obtain a prime number in time at most logO(1) N...
Deterministic spectral properties of Anderson-type Hamiltonians
spectral properties Anderson-type Hamiltonians
2010/12/1
This paper concerns the deterministic spectral properties of the self-adjoint operator A! = A + V! where V! = Pn !n( · , 'n)'n on a separable Hilbert space H with a sequence {'n} H. Here ! = (!1, !2...