87 citations · 337 across the 24 of their papers we have counts for
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math-ph2013★ 87 cited
Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof
Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer
In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bi-par…
math.SP2013★ 34 cited
Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
A. V. Sobolev
We prove a two-term quasi-classical trace asymptotic formula for the functions of multi-dimensional Wiener-Hopf operators with discontinuous symbols. The discontinuities occur on t…
math.SP2013★ 2 cited
On the Schatten-von Neumann properties of some pseudo-differential operators
Alexander V. Sobolev
We obtain a number of explicit estimates for quasi-norms of pseudo-differential operators in the Schatten-von Neumann classes with . The estimates are applied to de…