output
19932026
most citedDeep learning for cardiac image segmentation: A review

870 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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11 papers · 1 filter

math-ph2019★ 7 cited

Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau-Lifschitz equation

Julia Cen, Francisco Correa, Andreas Fring

We exploit the gauge equivalence between the Hirota equation and the extended continuous Heisenberg equation to investigate how nonlocality properties of one system are inherited b…

math-ph2019★ 25 cited

Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions

Olalla A. Castro-Alvaredo, Cecilia De Fazio, Benjamin Doyon +1

We consider two measures of entanglement, the logarithmic negativity and the entanglement entropy, between regions of space in excited states of many-body systems formed by a finit…

math-ph2015★ 6 cited

Generalized Bogoliubov transformations versus % -pseudo-bosons

Fabio Bagarello, Andreas Fring

We demonstrate that not all generalized Bogoliubov transformations lead to -pseudo-bosons and prove that a correspondence between the two can only be achieved with the impo…

math-ph2015★ 38 cited

Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality

Jean Avan, Vincent Caudrelier, Anastasia Doikou +1

We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…

math-ph2014★ 9 cited

Nonlinear eigenvalue problems

Carl M. Bender, Andreas Fring, Javad Komijani

This paper presents a detailed asymptotic study of the nonlinear differential equation y'(x)=\cos[πxy(x)] subject to the initial condition y(0)=a. Although the differential equatio…

math-ph2013★ 9 cited

Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency

Vincent Caudrelier, Nicolas Crampé, Qi Cheng Zhang

We propose the notion of integrable boundary in the context of discrete integrable systems on quad-graphs. The equation characterizing the boundary must satisfy a compatibility equ…

math-ph2012★ 14 cited

Entanglement in permutation symmetric states, fractal dimensions, and geometric quantum mechanics

Olalla A. Castro-Alvaredo, Benjamin Doyon

We study the von Neumann and Rényi bipartite entanglement entropies in the thermodynamic limit of many-body quantum states with spin-s sites, that possess full symmetry under excha…

math-ph2009★ 16 cited

Direct computation of scattering matrices for general quantum graphs

V. Caudrelier, E. Ragoucy

We present a direct and simple method for the computation of the total scattering matrix of an arbitrary finite noncompact connected quantum graph given its metric structure and lo…

math-ph2007★ 45 cited

On a systematic approach to defects in classical integrable field theories

V. Caudrelier

We present an inverse scattering approach to defects in classical integrable field theories. Integrability is proved systematically by constructing the generating function of the i…

math-ph2005★ 21 cited

A Q-operator for the twisted XXX model

Christian Korff

Taking the isotropic limit in a recent representation theoretic construction of Baxter's Q-operators for the XXZ model with quasi-periodic boundary conditions we obtain new results…

math-ph2003★ 13 cited

The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra

Uwe Grimm, Paul P. Martin

We define new diagram algebras providing a sequence of multiparameter generalisations of the Temperley-Lieb algebra, suitable for the modelling of dilute lattice systems of two-dim…