Results 111 to 120 of about 797,910 (276)
Random matrices: Probability of normality
Advances in Mathematics, 2019 In this paper, we investigate the following question: How often is a random matrix normal? We consider a random $n\times n$ matrix, $M_n$, whose entries are i.i.d. Rademacher random variables (taking values $\{ \pm1 \}$ with probability $1/2$) and prove $$2^{-\left(0.5+o(1)\right)n^2} \le P\left(M_n \text{ is normal}\right) \le 2^{-(0.302+o(1))n^{2}}. $
Deneanu, Andrei, Vu, Van
openaire +4 more sources
Unveiling order from chaos by approximate 2-localization of random matrices. [PDF]
Proc Natl Acad Sci U S A, 2023 Loizeau N, Morone F, Sels D.
europepmc +1 more source
Glymphatic Dysfunction Reflects Post‐Concussion Symptoms: Changes Within 1 Month and After 3 Months
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Mild traumatic brain injury (mTBI) may alter glymphatic function; however, its progression and variability remain obscure. This study examined glymphatic function following mTBI within 1 month and after 3 months post‐injury to determine whether variations in glymphatic function are associated with post‐traumatic symptom severity ...
Eunkyung Kim +3 more
wiley +1 more source
Localization to ergodic transitions: is Rosenzweig–Porter ensemble the hidden skeleton?
New Journal of Physics, 2016 The presence of local interactions and wave-localization phenomena is quite generic to a wide range of complex systems. Based on the evidence of two transitions similar to those in many body states as well as single particle states, the work by Kravtsov ...
Pragya Shukla
doaj +1 more source
Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems. [PDF]
Entropy (Basel), 2022 Weidenmüller HA.
europepmc +1 more source
Patterns of Postictal Abnormalities in Relation to Status Epilepticus in Adults
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Abnormalities on peri‐ictal diffusion‐weighted magnetic resonance imaging (DWI‐PMAs) are well‐established for patients with status epilepticus (SE), but knowledge on patterns of DWI‐PMAs and their prognostic impact is sparse. Methods This systematic review and individual participant data meta‐analysis included observational studies ...
Andrea Enerstad Bolle +11 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu +10 more
wiley +1 more source
Journal of Physics: ComplexityWe study the spectral properties of sparse random graphs with different topologies and type of interactions, and their implications on the stability of complex systems, with particular attention to ecosystems.
Pietro Valigi +2 more
doaj +1 more source
Direct dialling of Haar random unitary matrices
New Journal of Physics, 2017 Random unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics.
Nicholas J Russell +3 more
doaj +1 more source