output
20022024
most citedExperimentally Witnessing the Quantumness of Correlations

97 citations

36 papers

math.DG2024★ 1 cited

Balanced metrics and Gauduchon cone of locally conformally Kahler manifolds

Liviu Ornea, Misha Verbitsky

A complex Hermitian -manifold is called locally conformally Kahler (LCK) if , where is a closed 1-form, balanced if is closed, and SKT if $…

math.AG2023★ 9 cited

Normal form of bimeromorphically contractible holomorphic Lagrangian submanifolds

Ekaterina Amerik, Misha Verbitsky

Let be a holomorphically symplectic complex manifold, not necessarily compact or quasiprojective, and a compact Lagrangian submanifold. We construct a deformation…

math.GT2023

Multiplicities in the length spectrum and growth rate of Salem numbers

Alexandr Grebennikov

We prove that mean multiplicities in the length spectrum of a non-compact arithmetic hyperbolic orbifold of dimension have exponential growth rate $$ \langle g(L) \…

math.CO2023★ 1 cited

The diameter of randomly twisted hypercubes

Lucas Aragão, Maurício Collares, Gabriel Dahia +1

The -dimensional random twisted hypercube is constructed recursively by taking two instances of , with any joint distribution, and adding a rand…

math.AP2022

Vanishing adsorption limit of Riemann problem solutions for the polymer model

Yulia Petrova, Bradley J. Plohr, Dan Marchesin

We examine the vanishing adsorption limit of solutions of Riemann problems for the Glimm-Isaacson model of chemical flooding of a petroleum reservoir. A contact discontinuity is de…

math.DG2022

Special Hermitian structures on suspensions

Anna Fino, Gueo Grantcharov, Misha Verbitsky

Motivated by the construction based on topological suspension of a family of compact non-Kähler complex manifolds with trivial canonical bundle given by L. Qin and B. Wang in [QW],…

math.AG2022★ 1 cited

Algebraic cones of LCK manifolds with potential

Liviu Ornea, Misha Verbitsky

A complex manifold is called "LCK manifolds with potential" if it can be realized as a complex submanifold of a Hopf manifold. Let its -covering, considered as a comple…

math.DG2022★ 1 cited

Complex curves in hypercomplex nilmanifolds with H-solvable Lie algebras

Yulia Gorginyan

An operator on a real Lie algebra is called a complex structure operator if and the -eigenspace is a Lie subalgebra in the complexification o…

math.DG2022★ 9 cited

Non-linear Hopf manifolds are locally conformally Kahler

Liviu Ornea, Misha Verbitsky

A Hopf manifold is a quotient of by the cyclic group generated by a holomorphic contraction. Hopf manifolds are diffeomorphic to and hence do…

math.AG2021★ 2 cited

Parabolic automorphisms of hyperkahler manifolds

Ekaterina Amerik, Misha Verbitsky

A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on by a non-semisimple quasi-unipotent linear map. We prove that a parabolic automo…

math.AP2021★ 4 cited

Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model

F. Bakharev, A. Enin, Yu. Petrova +1

The solutions for a Riemann problem arising in chemical flooding models are studied using vanishing viscosity as an admissibility criterion. We show that when the flow function dep…

math.DG2021★ 1 cited

Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds

Liviu Ornea, Misha Verbitsky

A compact complex manifold is called Vaisman if it admits an Hermitian metric which is conformal to a Kähler one, and a non-isometric conformal action by . It is cal…

math.AG2021★ 2 cited

Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds

Anna Abasheva, Misha Verbitsky

A nilmanifold is a (left) quotient of a nilpotent Lie group by a cocompact lattice. A hypercomplex structure on a manifold is a triple of complex structure operators satisfying the…

math.CA2020★ 7 cited

Optimal polymer slugs injection profiles

F. Bakharev, A. Enin, K. Kalinin +3

The graded viscosity banks technology (tapering) for polymer flooding is studied for several different models of mixing zones behavior. Depending on the viscosity function the limi…

math.AG2020★ 8 cited

Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations

Fedor Bogomolov, Rodion Deev, Misha Verbitsky

Let be a holomorphically symplectic manifold equipped with a holomorphic Lagrangian fibration , and a closed form of Hodge type (1,1)+(2,0) on .…

cs.GR2020★ 3 cited

OMiCroN -- Oblique Multipass Hierarchy Creation while Navigating

Vinícius da Silva, Claudio Esperança, Ricardo Marroquim

Rendering large point clouds ordinarily requires building a hierarchical data structure for accessing the points that best represent the object for a given viewing frustum and leve…

math.AG2020★ 1 cited

Examples of varieties with index one on -fields

Ananyo Dan, Inder Kaur

Let be the fraction field of a Henselian discrete valuation ring with algebraically closed residue field . In this article we give a sufficient criterion for a projective va…

math.AG2020★ 5 cited

A pathological case of the conjecture in mixed characteristic

Inder Kaur

Let be a field of characteristic 0. Fix integers coprime with . Let be a smooth, projective, geometrically connected curve of genus defined ove…

q-bio.PE2018★ 52 cited

A survey of biodiversity informatics: Concepts, practices, and challenges

Luiz M. R. Gadelha, Pedro C. de Siracusa, Artur Ziviani +10

The unprecedented size of the human population, along with its associated economic activities, have an ever increasing impact on global environments. Across the world, countries ar…

math.PR2015★ 3 cited

Quenched Voronoi percolation

Daniel Ahlberg, Simon Griffiths, Robert Morris +1

We prove that the probability of crossing a large square in quenched Voronoi percolation converges to 1/2 at criticality, confirming a conjecture of Benjamini, Kalai and Schramm fr…

math.PR2014★ 20 cited

From normal diffusion to superdiffusion of energy in the evanescent flip noise limit

Cédric Bernardin, Patricia Gonçalves, Milton Jara +2

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter . When is of order one, the energy diffuses according to the standard heat equa…

math.PR2014★ 5 cited

The Einstein relation for the KPZ equation

Patricia Gonçalves, Milton Jara

We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In partic…

quant-ph2012★ 81 cited

Measuring bipartite quantum correlations of an unknown state

I. A. Silva, D. Girolami, R. Auccaise +6

We report the experimental measurement of bipartite quantum correlations of an unknown two-qubit state. Using a liquid state Nuclear Magnetic Resonance (NMR) setup and employing ge…

quant-ph2012★ 7 cited

Small violations of full correlation Bell inequalities for multipartite pure random states

R. C. Drumond, R. I. Oliveira

We estimate the probability of random -qudit pure states violating full-correlation Bell inequalities with two dichotomic observables per site. These inequalities can show viola…