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Translation invariant mean field games with common noise [PDF]
This note highlights a special class of mean field games in which the coefficients satisfy a convolution-type structural condition. A mean field game of this type with common noise is related to a certain mean field game without common noise by a simple ...
Lacker, Daniel, Webster, Kevin
core
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Invariant means and lacunary sequence spaces of order (α, β)
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
doaj +1 more source
Amenable Groups and Invariant Means
The problem of nonuniqueness of invariant finitely additive probability measures on \(S^ n\) is naturally linked to amenability properties. The general question was raised by J. Rosenblatt. Whereas by set theoretical arguments nonuniqueness was established for nilpotent and solvable groups, the author makes use of analytical methods to prove that for ...
openaire +2 more sources
Conservation laws for conformal invariant variational problems
We succeed in writing 2-dimensional conformally invariant non-linear elliptic PDE (harmonic map equation, prescribed mean curvature equations...etc) in divergence form. This divergence free quantities generalize to target manifolds without symmetries the
Tristan, Riviere
core +2 more sources
By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
wiley +1 more source
Helicoidal surfaces with constant anisotropic mean curvature
We study surfaces with constant anisotropic mean curvature which are invariant under a helicoidal motion. For functionals with axially symmetric Wulff shapes, we generalize the recently developed twizzler representation of Perdomo to the anisotropic case
Bennett Palmer +4 more
core +1 more source
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley +1 more source
The intensity and the features of sensory stimuli are encoded in the activity of neurons in the cortex. In the visual and piriform cortices, the stimulus intensity rescales the activity of the population without changing its selectivity for the stimulus ...
L. Bernáez Timón +4 more
doaj +1 more source
Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
We show that an $R^d$-topological dynamical system equipped with an invariant ergodic measure has discrete spectrum if and only it is $\mu$-mean equicontinuous (proven for $Z^d$ before).
García-Ramos, Felipe, Marcus, Brian
core +1 more source

