Results 101 to 110 of about 1,645,533 (278)

On classical and free stable laws

open access: yes, 2010
We derive the representative Bernstein measure of the density of $(X_{\alpha})^{-\alpha/(1-\alpha)}, 0 < \alpha < 1$, where $X_{\alpha}$ is a positive stable random variable, as a Fox-H function. When $1-\alpha = 1/j$ for some integer $j \geq 2$, the Fox
Demni, Nizar
core   +1 more source

Spectral results for free random variables

open access: yes
36 pages, 7 figures.
Hall, Brian C., Ho, Ching-Wei
openaire   +2 more sources

Metastasis on pause: How dormant tumor cells stay hidden within the tumor microenvironment and evade immune surveillance

open access: yesMolecular Oncology, EarlyView.
Dormant cancer cells can hide in distant organs for years, evading treatment and the immune system. This review highlights how signals from the surrounding tissue and immune environment keep these cells inactive or trigger their reawakening. Understanding these mechanisms may help develop therapies to eliminate or control dormant cells and prevent ...
Kanishka Tiwary   +1 more
wiley   +1 more source

Circulating tumor cell viability during and after radiotherapy mirrors treatment response in cancer patients

open access: yesMolecular Oncology, EarlyView.
Radiotherapy (RT) response depends on the DNA repair capacity of tumor and host cells. We show that circulating tumor cell (CTC) counts and apoptosis rates before and after RT predict treatment response and outcome, which can be accessed via easily accessible liquid biopsy approaches. Created in BioRender. Wikman, H.
Yvonne Goy   +10 more
wiley   +1 more source

Invariance principles for homogeneous sums of free random variables

open access: yesBernoulli, 2014
We extend, in the free probability framework, an invariance principle for multilinear homogeneous sums with low influences recently established in [E. Mossel, R. O'Donnell and K. Oleszkiewicz (2010). Noise stability of functions with low influences: invariance and optimality. {\it Ann. Math.} {\bf 171}, no. 1, 295-341].
Deya, Aurélien, Nourdin, Ivan
openaire   +6 more sources

USP29‐regulated noncanonical stabilization of the hypoxia‐inducible factor‐α in aggressive prostate cancer

open access: yesMolecular Oncology, EarlyView.
We identify USP29 as the only DUB mirroring CA9 expression, a marker of hypoxia and HIF pathway activation associated with PCA aggressiveness. USP29 stabilizes HIF‐1α and HIF‐2α via a noncanonical mechanism that is independent of PHD/pVHL activity yet relies on proteasomal regulation, establishing USP29 as a previously unrecognized regulator of hypoxic
Amelie S Schober   +16 more
wiley   +1 more source

Event-triggered H∞ anti-synchronisation for delayed neural networks with discontinuous neuron activations via non-fragile control strategy

open access: yesConnection Science, 2019
This paper treats of the global event-triggered anti-synchronisation issue for discontinuous neural networks with the mixed time-varying delays and random feedback gain fluctuation via non-fragile control strategy.
Min Liu   +3 more
doaj   +1 more source

Free infinite divisibility for powers of random variables

open access: yesLatin American Journal of Probability and Mathematical Statistics, 2016
We prove that $X^r$ follows an FID distribution if: (1) $X$ follows a free Poisson distribution without an atom at 0 and $r\in(-\infty,0]\cup[1,\infty)$; (2) $X$ follows a free Poisson distribution with an atom at 0 and $r\geq1$; (3) $X$ follows a mixture of some HCM distributions and $|r|\geq1$; (4) $X$ follows some beta distributions and $r$ is taken
openaire   +2 more sources

Localization Transitions from Free Random Variables

open access: yes, 1997
We motivate and use the concept of free random variables for the studies of the de-pinning transition of flux lines in superconductors as recently discussed by Hatano and Nelson. We derive analytical conditions for the critical points of the eigenvalue distribution in the complex plane for all values of the transverse magnetic field in one-dimension ...
Janik, Romuald A.   +3 more
openaire   +2 more sources

Mycobacterial cell division arrest and smooth‐to‐rough envelope transition using CRISPRi‐mediated genetic repression systems

open access: yesFEBS Open Bio, EarlyView.
CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point   +7 more
wiley   +1 more source

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