Search Results - "Borovyk, Vita"

The Klein–Gordon equation on Z2 and the quantum harmonic lattice by Borovyk, Vita, Goldberg, Michael

“…The discrete Klein–Gordon equation on a two-dimensional square lattice satisfies an ℓ1↦ℓ∞ dispersive bound with polynomial decay rate |t|−3/4. We determine the…”
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The Klein–Gordon equation on Z 2 and the quantum harmonic lattice by Borovyk, Vita, Goldberg, Michael

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Lifschitz Tails for Random Schrödinger Operator in Bernoulli Distributed Potentials by Bishop, Michael, Borovyk, Vita, Wehr, Jan

“…This paper presents an elementary proof of Lifschitz tail behavior for random discrete Schrödinger operators with a Bernoulli-distributed potential. The proof…”
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On the Weak and Ergodic Limit of the Spectral Shift Function by Borovyk, Vita, Makarov, Konstantin A.

“…We investigate convergence properties of the spectral shift functions associated with a pair of Schrödinger operators with Dirichlet boundary conditions at the…”
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Box approximation and related techniques in spectral theory by Borovyk, Vita

“…This dissertation is concerned with various aspects of the spectral theory of differential and pseudodifferential operators. It consists of two chapters. The…”
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The Klein-Gordon Equation on ${\mathbb Z}^2$ and the Quantum Harmonic Lattice by Borovyk, Vita, Goldberg, Michael

“…The discrete Klein-Gordon equation on a two-dimensional square lattice satisfies an $\ell^1 \mapsto \ell^\infty$ dispersive bound with polynomial decay rate…”
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Dispersive Estimates for Harmonic Oscillator Systems by Borovyk, Vita, Sims, Robert

“…J. Math. Phys. 53, 013302 (2012) We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over…”
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Lifschitz Tails for Random Schr\"{o}dinger Operator in Bernoulli Distributed Potentials by Bishop, Michael, Borovyk, Vita, Wehr, Jan

“…This paper presents an elementary proof of Lifschitz tail behavior for random discrete Schr\"{o}dinger operators with a Bernoulli-distributed potential. The…”
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