Publications related to Pauli matrices

On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Daniel Kressner, Stefano Massei, Alice Cortinovis

The problem of finding a k x k submatrix of maximum volume of a matrix A is of interest in a variety of applications. For example, it yields a quasi-best low-rank approximation constructed from the rows and columns of A. We show that such a submatrix can a ...

ELSEVIER SCIENCE INC2020

Evaporation of Metals during the Thermal Treatment of Oxide Nanomaterials in Cellulose-Based Matrices

Christian Ludwig, Mohamed Tarik

Like conventional material products, waste is the last stage of the life cycle of engineered nanomaterials, which are then incinerated or stabilized before disposal. However, because of their special physical characteristics, the fate of the thermally trea ...

2020

hm-toolbox: MATLAB SOFTWARE FOR HODLR AND HSS MATRICES

Daniel Kressner, Stefano Massei

Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop fast algorithms for addressing large-scale problems. While existing software packages for such matrices often focus on linear systems, t ...

SIAM PUBLICATIONS2020

Complements to Mugge and Friedel's Theory of Twinning

Cyril Cayron

The crystallography of twinning is based on the concepts of simple shear and obliquity introduced by Mugge, Mallard and Friedel at the turn of the last century, with tensor mathematics later developed by Bilby, Bevis and Crocker in the 1960s. We propose a ...

2020

Magnetic-Field-Induced Bound States in Spin-1/2 Ladders

Frédéric Mila, Mithilesh Nayak

Motivated by the recently observed intriguing mode splittings in a magnetic field with inelastic neutron scattering in the spin ladder compound (C5H12N)(2) CuBr4 (BPCB), we investigate the nature of the spin ladder excitations using a density matrix renorm ...

AMER PHYSICAL SOC2020

Superfluids, vortices and spinning charged operators in 4d CFT

Gabriel Francisco Cuomo

We include vortices in the superfluid EFT for four dimensional CFTs at large global charge. Using the state-operator correspondence, vortices are mapped to charged operators with large spin and we compute their scaling dimensions. Different regimes are ide ...

SPRINGER2020

Homeostatic mini-intestines through scaffold-guided organoid morphogenesis

Matthias Lütolf, Nathalie Brandenberg, Yoji Tabata, Nikolche Gjorevski, Mikhail Nikolaev, Nicolas Antoine Vincent Broguiere, Olga Mitrofanova, Devanjali Dutta

Epithelial organoids, such as those derived from stem cells of the intestine, have great potential for modelling tissue and disease biology(1-4). However, the approaches that are used at present to derive these organoids in three-dimensional matrices(5,6)r ...

NATURE PUBLISHING GROUP2020

Global eigenvalue distribution of matrices defined by the skew-shift

Marius Christopher Lemm

We consider large Hermitian matrices whose entries are defined by evaluating the exponential function along orbits of the skew-shift

\binom{j}{2} \omega+jy+x \mod 1

for irrational

\omega

. We prove that the eigenvalue distribution of these matrices conv ...

2019

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Daniel Kressner, Stefano Massei, Alice Cortinovis

The problem of finding a

k\times k

submatrix of maximum volume of a matrix A is of interest in a variety of applications. For example, it yields a quasi-best low-rank approximation constructed from the rows and columns of A. We show that such a submatrix ...

MATHICSE2019

hm-toolbox: Matlab software for HODLR and HSS matrices

Daniel Kressner, Stefano Massei

Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop fast algorithms for addressing large-scale problems. While existing software packages for such matrices often focus on linear systems, t ...

2019

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On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Evaporation of Metals during the Thermal Treatment of Oxide Nanomaterials in Cellulose-Based Matrices

hm-toolbox: MATLAB SOFTWARE FOR HODLR AND HSS MATRICES

Complements to Mugge and Friedel's Theory of Twinning

Magnetic-Field-Induced Bound States in Spin-1/2 Ladders

Superfluids, vortices and spinning charged operators in 4d CFT

Homeostatic mini-intestines through scaffold-guided organoid morphogenesis

Global eigenvalue distribution of matrices defined by the skew-shift

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

hm-toolbox: Matlab software for HODLR and HSS matrices

Complements to Mugge and Friedel's Theory of Twinning

Magnetic-Field-Induced Bound States in Spin-1/2 Ladders

On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices

Superfluids, vortices and spinning charged operators in 4d CFT

hm-toolbox: Matlab software for HODLR and HSS matrices

Evaporation of Metals during the Thermal Treatment of Oxide Nanomaterials in Cellulose-Based Matrices

hm-toolbox: MATLAB SOFTWARE FOR HODLR AND HSS MATRICES

Homeostatic mini-intestines through scaffold-guided organoid morphogenesis

Global eigenvalue distribution of matrices defined by the skew-shift

MATHICSE Technical Report : On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices