Results 71 to 80 of about 797,910 (276)

RANDOM MATRICES: THE CIRCULAR LAW [PDF]

Communications in Contemporary Mathematics, 2008
Let x be a complex random variable with mean zero and bounded variance σ2. Let Nn be a random matrix of order n with entries being i.i.d. copies of x. Let λ1, …, λn be the eigenvalues of [Formula: see text]. Define the empirical spectral distributionμn of Nn by the formula [Formula: see text] The following well-known conjecture has been open since ...
Tao, Terence, Van, Vu
openaire   +2 more sources

Realistic Many-Body Quantum Systems vs. Full Random Matrices: Static and Dynamical Properties

Entropy, 2016
We study the static and dynamical properties of isolated many-body quantum systems and compare them with the results for full random matrices. In doing so, we link concepts from quantum information theory with those from quantum chaos.
Eduardo Jonathan Torres-Herrera, Jonathan Karp, Marco Távora, Lea F. Santos   +3 more
doaj   +1 more source

Numerical range for random matrices

, 2014
We analyze the numerical range of high-dimensional random matrices, obtaining limit results and corresponding quantitative estimates in the non-limit case. For a large class of random matrices their numerical range is shown to converge to a disc.
Collins, Benoît, Gawron, Piotr, Litvak, Alexander E., Życzkowski, Karol   +3 more
core   +1 more source

Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers

Molecular Oncology, EarlyView.
This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel, Peyman Zarrineh, Nathnael T. Tuffa, Jigar H. Sheth, Sumitra Mohan, Mudassar Iqbal, Sankari Nagarajan   +6 more
wiley   +1 more source

RIPK4 function interferes with melanoma cell adhesion and metastasis

Molecular Oncology, EarlyView.
RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski, Sławomir Lasota, Ewelina Madej, Anna A. Brożyna, Małgorzata Szczygieł, Agnieszka Harazin‐Lechowska, Jan Czerbniak, Janusz Rys, Jaroslaw Czyz, Agnieszka Wolnicka‐Glubisz   +9 more
wiley   +1 more source

Shape Fluctuations and Random Matrices

, 1999
We study a certain random groeth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process. The results show that the shape fluctuations, appropriately scaled, converges in distribution to the Tracy-Widom largest
Johansson, Kurt
core   +2 more sources

Engineered extracellular vesicles enriched with the miR‐214/199a cluster enhance the efficacy of chemotherapy in ovarian cancer

Molecular Oncology, EarlyView.
Loss of the miR‐214/199a cluster is associated with recurrence in ovarian cancer. Engineered small extracellular vesicles (m214‐sEVs) elevate miR‐214‐3p/miR‐199a‐5p in tumor cells, suppress β‐catenin, TLR4, and YKT6 signaling, reprogram tumor‐derived sEV cargo, reduce chemoresistance and migration, and enhance carboplatin efficacy and survival in ...
Weida Wang, Ayesha Alvero, Yi Qin, Mingjin Wang, Alexandra Fox, Yanfeng Li, Michael Millman, Amy Kemper, Gil Mor, Xian Shuang Liu, Michael Chopp, Zheng Gang Zhang, Yi Zhang   +12 more
wiley   +1 more source

1/2 BPS structure constants and random matrices

Journal of High Energy Physics, 2023
We study three point functions of half BPS operators in N $$ \mathcal{N} $$ = 4 super Yang-Mills theory focusing on correlators of two of the operators with dimension of order ∆ ~ N 2 and a light single trace operator.
Adolfo Holguin
doaj   +1 more source

Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer

Molecular Oncology, EarlyView.
COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann, Eduardo García‐Galea, Alice O'Farrell, Zak Kinsella, Maxime Meylan, Florent Petitprez, Ingrid Arijs, Tom Venken, Hari Ps, Adrian Lärkeryd, Ian Miller, Janick Selves, Nadja Meindl‐Beinker, Fiorella Ruiz‐Pace, Elena Élez, Raquel Comas‐Navarro, Frank Lincoln, Dirk Fey, Gift Nyamundanda, Aoife Nolan, Joern Lewin, Raquel Perez‐Lopez, Jonathan Briody, Kathleen Bennett, Walter Kolch, David Matallanas, Alexander Kel, Enrique Arenas, Joaquín Arribas, Bart Ghesquière, Josep Tabernero, Julie Meilleroux, Deborah McNamara, Ray McDermott, Marvin Lim, Mary O'Reilly, Brian Bird, Lisa Stack, Lucia Moloney, Patrick Morris, Keith Egan, Maciej Milewski, Lars Scheuer, Joachim Behringer, Georg Bolz, Ramon Salazar, Cristina Santos, Andrea Ruiz, Orla Casey, Verena Murphy, Matthias Ebert, Livio Trusolino, Diether Lambrechts, Anguraj Sadanandam, Catherine Sautès‐Fridman, Jochen Prehn, Paolo Nuciforo, Jacques Fieschi, Florence Monville, Darran O'Connor, Wolf Fridman, Annette Byrne   +61 more
wiley   +1 more source

Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems

PRX Quantum, 2023
The spectral statistics of non-Hermitian random matrices are of importance as a diagnostic tool for chaotic behavior in open quantum systems. Here, we investigate the statistical properties of singular values in non-Hermitian random matrices as an ...
Kohei Kawabata, Zhenyu Xiao, Tomi Ohtsuki, Ryuichi Shindou   +3 more
doaj   +1 more source