Joscha Henheik,Asbjørn Bækgaard Lauritsen
Joscha Henheik
We study the BCS energy gap Ξ in the high-density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (M...
Zeros of Gaussian Weyl-Heisenberg Functions and Hyperuniformity of Charge [0.03%]
高斯韦尔-海森堡函数的零点及电荷超均匀性
Antti Haimi,Günther Koliander,José Luis Romero
Antti Haimi
We study Gaussian random functions on the complex plane whose stochastics are invariant under the Weyl-Heisenberg group (twisted stationarity). The theory is modeled on translation invariant Gaussian entire functions, but allows for non-ana...
Melchior Wirth
Melchior Wirth
In this article we study the noncommutative transport distance introduced by Carlen and Maas and its entropic regularization defined by Becker and Li. We prove a duality formula that can be understood as a quantum version of the dual Benamo...
Tobias Wand
Tobias Wand
Using publicly available data from the football database transfermarkt.co.uk, it is possible to construct a trade network between football clubs. This work regards the network of the flow of transfer fees between European top league clubs f...
Shortcuts to Thermodynamic Computing: The Cost of Fast and Faithful Information Processing [0.03%]
通往热力学计算的捷径：快速且忠实信息处理的成本
Alexander B Boyd,Ayoti Patra,Christopher Jarzynski et al.
Alexander B Boyd et al.
Landauer's Principle states that the energy cost of information processing must exceed the product of the temperature, Boltzmann's constant, and the change in Shannon entropy of the information-bearing degrees of freedom. However, this lowe...
Lévy Walk Dynamics in an External Constant Force Field in Non-Static Media [0.03%]
非静态介质中外加恒定力场中的莱维飞行动力学
Tian Zhou,Pengbo Xu,Weihua Deng
Tian Zhou
Based on the recognition of the huge change of the transport properties for diffusion particles in non-static media, we consider a Lévy walk model subjected to an external constant force in non-static media. Since the physical and comoving...
Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism [0.03%]
几乎加性统计力学形式化与损失函数下的贝叶斯后验收敛性问题
Artur O Lopes,Silvia R C Lopes,Paulo Varandas
Artur O Lopes
Statistical inference can be seen as information processing involving input information and output information that updates belief about some unknown parameters. We consider the Bayesian framework for making inferences about dynamical syste...
A Spin Glass Model for the Loss Surfaces of Generative Adversarial Networks [0.03%]
生成对抗网络损失函数的自旋玻璃模型
Nicholas P Baskerville,Jonathan P Keating,Francesco Mezzadri et al.
Nicholas P Baskerville et al.
We present a novel mathematical model that seeks to capture the key design feature of generative adversarial networks (GANs). Our model consists of two interacting spin glasses, and we conduct an extensive theoretical analysis of the comple...
Large Deviations for Subcritical Bootstrap Percolation on the Erdős-Rényi Graph [0.03%]
Erdős-Rényi图上亚临界Bootstrap渗流的大偏差
Omer Angel,Brett Kolesnik
Omer Angel
We study atypical behavior in bootstrap percolation on the Erdős-Rényi random graph. Initially a set S is infected. Other vertices are infected once at least r of their neighbors become infected. Janson et al. (Ann Appl Probab 22(5):1989-...
A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures [0.03%]
具有依赖速度碰撞频率的一致的混合气体BGK模型
J Haack,C Hauck,C Klingenberg et al.
J Haack et al.
We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each...