The Boussinesq systems on non-compact Riemannian Manifolds

September 16, 2022

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Mathematics
Physics
Analysis of PDEs
Mathematical Physics
Differential Geometry
Dynamical Systems
Functional Analysis
Mathematical Physics
We study the global existence, uniqueness and exponential stability of mild solutions to the Boussinesq systems on the framework of non-compact Riemannian manifolds. We work on some manifolds satisfying some bounded and negative conditions ...

PA-Boot: A Formally Verified Authentication Protocol for Multiprocessor Secure Boot

September 16, 2022

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Computer Science
Cryptography and Security
Hardware Architecture
Hardware supply-chain attacks are raising significant security threats to the boot process of multiprocessor systems. This paper identifies a new, prevalent hardware supply-chain attack surface that can bypass multiprocessor secure boot due...

Neuro-evolutionary evidence for a universal fractal primate brain shape

September 16, 2022

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Quantitative Biology
Neurons and Cognition
The cerebral cortex displays a bewildering diversity of shapes and sizes across and within species. Despite this diversity, we present a universal multi-scale description of primate cortices. We show that all cortical shapes can be describe...

Dark matter solution to the H0H_{0} and S8S_{8} tensions, and the integrated Sachs-Wolfe void anomaly

September 16, 2022

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Physics
Cosmology and Nongalactic Astrophysics
We consider a phenomenological model of dark matter with an equation-of-state ww that is negative and changing at late times. We show this couples the H0H_{0} and S8S_{8} tensions, alleviating them both simultaneously, reducing the H0H_{0}...

mpower: An R Package for Power Analysis of Exposure Mixture Studies via Monte Carlo Simulations

September 16, 2022

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Statistics
Methodology
Computation
Estimating sample size and statistical power is an essential part of a good study design. This R package allows users to conduct power analysis based on Monte Carlo simulations in settings in which consideration of the correlations between ...

Quantum Vision Transformers

September 16, 2022

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Computer Science
Physics
Machine Learning
Quantum Physics
In this work, quantum transformers are designed and analysed in detail by extending the state-of-the-art classical transformer neural network architectures known to be very performant in natural language processing and image analysis. Build...

A note on unlikely intersections in Shimura varieties

September 16, 2022

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Mathematics
Number Theory
Logic
We discuss the relationships between the Andr\'e-Oort, Andr\'e-Pink-Zannier, and Mordell-Lang conjectures for Shimura varieties. We then combine the latter with the geometric Zilber-Pink conjecture to obtain some new results on unlikely int...

Boundedness of bundle diffeomorphism groups over a circle

September 16, 2022

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Mathematics
Geometric Topology
Group Theory
In this paper we study boundedness of bundle diffeomorphism groups over a circle. For a fiber bundle π:MS1\pi : M \to S^1 with fiber NN and structure group Γ\Gamma and rZ0{}r \in {\Bbb Z}_{\geq 0} \cup \{ \infty \} we distinguish an integer $k ...

Variational quantum algorithm for measurement extraction from the Navier-Stokes, Einstein, Maxwell, B-type, Lin-Tsien, Camassa-Holm, DSW, H-S, KdV-B, non-homogeneous KdV, generalized KdV, KdV, translational KdV, sKdV, B-L and Airy equations

September 16, 2022

Physics
Mathematics
Computer Science
Computational Physics
Optimization and Control
Numerical Analysis
Information Theory
Numerical Analysis
Information Theory
Quantum Physics
Classical-quantum hybrid algorithms have recently garnered significant attention, which are characterized by combining quantum and classical computing protocols to obtain readout from quantum circuits of interest. Recent progress due to Lub...

Quantitative recurrence problem on some Bedford-McMullen carpets

September 15, 2022

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Mathematics
Dynamical Systems
Dynamical Systems
In this paper, we study the Hausdorff dimension of the quantitative recurrent set of the canonical endomorphism on the Bedford-McMullen carpets whose Hausdorff dimension and box dimension are equal....