Search Results - "Vassiliev, Dmitri"

Global Propagator for the Massless Dirac Operator and Spectral Asymptotics by Capoferri, Matteo, Vassiliev, Dmitri

“…We construct the propagator of the massless Dirac operator W on a closed Riemannian 3-manifold as the sum of two invariantly defined oscillatory integrals,…”
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Two-Term Spectral Asymptotics in Linear Elasticity by Capoferri, Matteo, Friedlander, Leonid, Levitin, Michael, Vassiliev, Dmitri

“…We establish the two-term spectral asymptotics for boundary value problems of linear elasticity on a smooth compact Riemannian manifold of arbitrary dimension…”
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Spinal Cord Stimulation in Adult Tethered Cord Syndrome: Case Report and Review of the Literature by Novik, Yuri, Vassiliev, Dmitri, Tomycz, Nestor D.

“…Spinal cord stimulation (SCS) is an evidence-based treatment for chronic neuropathic pain; however, there is a dearth of evidence investigating this modality…”
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Topological obstructions to the diagonalisation of pseudodifferential systems by Capoferri, Matteo, Rozenblum, Grigori, Saveliev, Nikolai, Vassiliev, Dmitri

“…Given a matrix pseudodifferential operator on a smooth manifold, one may be interested in diagonalising it by choosing eigenvectors of its principal symbol in…”
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Invariant subspaces of elliptic systems I: Pseudodifferential projections by Capoferri, Matteo, Vassiliev, Dmitri

“…Consider an elliptic self-adjoint pseudodifferential operator A acting on m-columns of half-densities on a closed manifold M, whose principal symbol is assumed…”
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Invariant subspaces of elliptic systems II: Spectral theory by Capoferri, Matteo, Vassiliev, Dmitri

“…Consider an elliptic self-adjoint pseudodifferential operator A acting on m -columns of half-densities on a closed manifold M M, whose principal symbol is…”
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Edge resonance in an elastic semi-infinite cylinder by Holst, Anders, Vassiliev, Dmitri

“…We study the three-dimensional elasticity operator in a semi-infinite circular cylinder subject to free boundary conditions, in the case of zero Poisson ratio…”
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Spread of contrast during L4 and L5 nerve root infiltration under fluoroscopic guidance by Vassiliev, Dmitri

“…Lumbar selective nerve root blocks have been performed to establish the origin of lumbar radiculopathy in clinically difficult cases. The diagnostic ability of…”
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Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals by Levitin, Michael, Vassiliev, Dmitri

“…We consider the asymptotic behaviour of the volume of the Minkowski sausage, the counting function of the Dirichlet Laplacian, the partition function and the…”
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SPECTRAL THEORETIC CHARACTERIZATION OF THE MASSLESS DIRAC ACTION by Downes, Robert J., Vassiliev, Dmitri

“…We consider an elliptic self-adjoint first-order differential operator $L$ acting on pairs (2-columns) of complex-valued half-densities over a connected…”
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Spectral theoretic characterization of the massless Dirac operator by Chervova, Olga, Downes, Robert J., Vassiliev, Dmitri

“…We consider an elliptic self-adjoint first-order differential operator acting on pairs (2-columns) of complex-valued half-densities over a connected compact…”
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MODELLING THE ELECTRON WITH COSSERAT ELASTICITY by Burnett, James, Vassiliev, Dmitri

“…We suggest an alternative mathematical model for the electron in dimension 1+2. We think of our (1+2)-dimensional spacetime as an elastic continuum whose…”
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Beyond the Hodge Theorem: curl and asymmetric pseudodifferential projections by Capoferri, Matteo, Vassiliev, Dmitri

“…We develop a new approach to the study of spectral asymmetry. Working with the operator $\operatorname{curl}:=*\mathrm{d}$ on a connected oriented closed…”
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Pseudoinstantons in Metric-Affine Field Theory by Vassiliev, Dmitri

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Global propagator for the massless Dirac operator and spectral asymptotics by Capoferri, Matteo, Vassiliev, Dmitri

“…Integral Equations and Operator Theory, vol. 94 (2022) 30 We construct the propagator of the massless Dirac operator $W$ on a closed Riemannian 3-manifold as…”
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Invariant subspaces of elliptic systems II: spectral theory by Capoferri, Matteo, Vassiliev, Dmitri

“…Journal of Spectral Theory, vol. 12 (2022), p. 301-338 Consider an elliptic self-adjoint pseudodifferential operator $A$ acting on $m$-columns of…”
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Invariant subspaces of elliptic systems I: pseudodifferential projections by Capoferri, Matteo, Vassiliev, Dmitri

“…Journal of Functional Analysis, vol. 282 (2022) 109402 Consider an elliptic self-adjoint pseudodifferential operator $A$ acting on $m$-columns of…”
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Spacetime diffeomorphisms as matter fields by Capoferri, Matteo, Vassiliev, Dmitri

“…J. Math. Phys. 61, 111508 (2020) We work on a 4-manifold equipped with Lorentzian metric $g$ and consider a volume-preserving diffeomorphism which is the…”
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Long-term Use of Burst Stimulation in Patients Who Have Failed Tonic Stimulation Trial by Vassiliev, Dmitri, Salazar, Adrian M.

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Geometric wave propagator on Riemannian manifolds by Capoferri, Matteo, Levitin, Michael, Vassiliev, Dmitri

“…Communications in Analysis and Geometry, 2022, vol. 30, p. 1713-1777 We study the propagator of the wave equation on a closed Riemannian manifold $M$. We…”
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