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- Courant Institute of Mathematical SciencesUS54 papers
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11 papers · 1 filter
Numerical study of metastability due to tunneling: The quantum string method
Tiezheng Qian, Weiqing Ren, Jing Shi +2
We generalize the string method, originally designed for the study of thermally activated rare events, to the calculation of quantum tunneling rates. This generalization is based o…
Euclidean distortion and the Sparsest Cut
Sanjeev Arora, James R. Lee, Assaf Naor
We prove that every -point metric space of negative type (and, in particular, every -point subset of ) embeds into a Euclidean space with distortion $O(\sqrt{\log n} \cd…
Levy Flights over Quantum Paths
Nick Laskin
An impact of integration over the paths of the Levy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in…
Conversational (dialogue) model of quantum transitions
Pavel Kurakin, George Malinetskii, Howard Bloom
We introduce an original model of quantum phenomena, a model that provides a picture of a "deep structure", an "underlying pattern" of quantum dynamics. We propose that the source…
A Riemann-Hilbert approach to some theorems on Toeplitz operators and orthogonal polynomials
Percy Deift, Jorgen Ostensson
In this paper the authors show how to use Riemann-Hilbert techniques to prove various results, some old, some new, in the theory of Toeplitz operators and orthogonal polynomials on…
Entanglement entropy of fermions in any dimension and the Widom conjecture
Dimitri Gioev, Israel Klich
We show that entanglement entropy of free fermions scales faster then area law, as opposed to the scaling for the harmonic lattice, for example. We also suggest and provi…