We consider the corrector equation from the stochastic homogenization of uniformly elliptic finite-difference equations with random, possibly non-symmetric coefficients. Under the assumption that theâ€¦ (More)

The problem of approximating the discrete spectra of families of self-adjoint operators that are merely strongly continuous is addressed. It is well-known that the spectrum need not vary continuouslyâ€¦ (More)

This paper addresses and establishes some of the fundamental barriers in the theory of computations and finally settles the long standing computational spectral problem. Due to the barriers presentedâ€¦ (More)

The relativistic Vlasovâ€“Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: the so-called oneâ€¦ (More)

The relativistic Vlasovâ€“Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: the so-called oneâ€¦ (More)

We address and establish some of the basic barriers in the theory of computations, as well as settle long standing problems such as the computational spectral problem and computability of spectra ofâ€¦ (More)

The Spectral Theorem is a general concept, with many different formulations in different settings. We are usually aware of the simple, finite-dimensional case. But the spectral theorem, in its fullâ€¦ (More)

We study smooth, global-in-time solutions of the Vlasovâ€“Poisson system in the plasma physical case that possess arbitrarily large charge densities and electric fields. In particular, we construct twoâ€¦ (More)