Hypergeometric Solutions of Linear Difference Systems

Kavli Affiliate: Yi Zhou | First 5 Authors: Moulay Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou, | Summary: We extend Petkovv{s}ek’s algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems $tau(Y) = M Y$, with $M in {rm GL}_n(C(x))$, where $tau$ is the shift operator. Hypergeometric solutions are […]


Continue.. Hypergeometric Solutions of Linear Difference Systems

Hypergeometric Solutions of Linear Difference Systems

Kavli Affiliate: Yi Zhou | First 5 Authors: Moulay Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou, | Summary: We extend Petkovv{s}ek’s algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems $tau(Y) = M Y$, with $M in {rm GL}_n(C(x))$, where $tau$ is the shift operator. Hypergeometric solutions are […]


Continue.. Hypergeometric Solutions of Linear Difference Systems

Hypergeometric Solutions of Linear Difference Systems

Kavli Affiliate: Yi Zhou | First 5 Authors: Moulay Barkatou, Mark van Hoeij, Johannes Middeke, Yi Zhou, | Summary: We extend Petkovv{s}ek’s algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems $tau(Y) = M Y$, with $M in {rm GL}_n(C(x))$, where $tau$ is the shift operator. Hypergeometric solutions are […]


Continue.. Hypergeometric Solutions of Linear Difference Systems

Creating and controlling global Greenberger-Horne-Zeilinger entanglement on quantum processors

Kavli Affiliate: Biao Huang | First 5 Authors: Zehang Bao, Shibo Xu, Zixuan Song, Ke Wang, Liang Xiang | Summary: Greenberger-Horne-Zeilinger (GHZ) states, also known as two-component Schr"{o}dinger cats, play vital roles in the foundation of quantum physics and, more attractively, in future quantum technologies such as fault-tolerant quantum computation. Enlargement in size and coherent […]


Continue.. Creating and controlling global Greenberger-Horne-Zeilinger entanglement on quantum processors

Boundary phase transitions of two-dimensional quantum critical XXZ model

Kavli Affiliate: Long Zhang | First 5 Authors: Hong-Hao Song, Long Zhang, , , | Summary: The boundary critical behavior of the two-dimensional (2D) quantum antiferromagnetic(AF) XXZ model coupled with either a dangling spin-1/2 XXZ chain or a dangling two-leg ladder on the boundary is studied with the bosonization and renormalization group analysis. A rich […]


Continue.. Boundary phase transitions of two-dimensional quantum critical XXZ model

Boundary phase transitions of two-dimensional quantum critical XXZ model

Kavli Affiliate: Long Zhang | First 5 Authors: Hong-Hao Song, Long Zhang, , , | Summary: The boundary critical behavior of the two-dimensional (2D) quantum antiferromagnetic (AF) XXZ model coupled with either a dangling spin-1/2 XXZ chain or a dangling two-leg ladder on the boundary is studied with the bosonization and renormalization group analysis. A […]


Continue.. Boundary phase transitions of two-dimensional quantum critical XXZ model

Nonparametric worst-case bounds for publication bias on the summary receiver operating characteristic curve

Kavli Affiliate: Yi Zhou | First 5 Authors: Yi Zhou, Ao Huang, Satoshi Hattori, , | Summary: The summary receiver operating characteristic (SROC) curve has been recommended as one important meta-analytical summary to represent the accuracy of a diagnostic test in the presence of heterogeneous cutoff values. However, selective publication of diagnostic studies for meta-analysis […]


Continue.. Nonparametric worst-case bounds for publication bias on the summary receiver operating characteristic curve

Electric field-induced nonreciprocal spin current due to chiral phonons in chiral-structure superconductors

Kavli Affiliate: Mamoru Matsuo | First 5 Authors: Dapeng Yao, Mamoru Matsuo, Takehito Yokoyama, , | Summary: The recent experiment [R. Nakajima, et al., Nature 613, 479 (2023)] has reported a pair of oppositely polarized spins under an alternating electric current in a superconductor with a chiral structure. However, these behaviors cannot be explained by […]


Continue.. Electric field-induced nonreciprocal spin current due to chiral phonons in chiral-structure superconductors

Electric field-induced nonreciprocal spin current due to chiral phonons in chiral-structure superconductors

Kavli Affiliate: Mamoru Matsuo | First 5 Authors: Dapeng Yao, Mamoru Matsuo, Takehito Yokoyama, , | Summary: The recent experiment [R. Nakajima, et al., Nature 613, 479 (2023)] has reported a pair of oppositely polarized spins under an alternating electric current in a superconductor with a chiral structure. However, these behaviors cannot be explained by […]


Continue.. Electric field-induced nonreciprocal spin current due to chiral phonons in chiral-structure superconductors

Optimal Order Execution subject to Reservation Strategies under Execution Risk

Kavli Affiliate: Cheng Peng | First 5 Authors: Xue Cheng, Peng Guo, Tai-ho Wang, , | Summary: The paper addresses the problem of meta order execution from a broker-dealer’s point of view in Almgren-Chriss model under order fill uncertainty. A broker-dealer agency is authorized to execute an order of trading on client’s behalf. The strategies […]


Continue.. Optimal Order Execution subject to Reservation Strategies under Execution Risk