8 citations · 22 across the 6 of their papers we have counts for
6 papers
The Motzkin subproduct system
Valeriano Aiello, Simone Del Vecchio, Stefano Rossi
We introduce a subproduct system of finite-dimensional Hilbert spaces by using the Motzkin planar algebra and its Motzkin Jones-Wenzl idempotents, which generalizes the Temperley-L…
Invariant Conditional Expectations and Unique Ergodicity for Anzai Skew-Products
Simone Del Vecchio, Francesco Fidaleo, Stefano Rossi
Anzai skew-products are shown to be uniquely ergodic with respect to the fixed-point subalgebra if and only if there is a unique conditional expectation onto such a subalgebra whic…
Lie-Schwinger block-diagonalization and gapped quantum chains: analyticity of the ground-state energy
S. Del Vecchio, J. Fröhlich, A. Pizzo +1
We consider quantum chains whose Hamiltonians are perturbations by interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sit…
Lie-Schwinger block-diagonalization and gapped quantum chains with unbounded interactions
S. Del Vecchio, J. Fröhlich, A. Pizzo +1
We study quantum chains whose Hamiltonians are perturbations by interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sites…
Solitons and nonsmooth diffeomorphisms in conformal nets
Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto
We show that any solitonic representation of a conformal (diffeomorphism covariant) net on S^1 has positive energy and construct an uncountable family of mutually inequivalent soli…
Positive energy representations of Sobolev diffeomorphism groups of the circle
Sebastiano Carpi, Simone Del Vecchio, Stefano Iovieno +1
We show that any positive energy projective unitary representation of Diff(S^1) extends to a strongly continuous projective unitary representation of the fractional Sobolev diffeom…