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The work of Professor Andrzej Lasota on asymptotic stability and recent progress [PDF]

open access: yesOpuscula Mathematica, 2008
The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A.
Wojciech Bartoszek
doaj  

Invariant measures and random attractors of stochastic delay differential equations in Hilbert space

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
This paper is devoted to a general stochastic delay differential equation with infinite-dimensional diffusions in a Hilbert space. We not only investigate the existence of invariant measures with either Wiener process or Lévy jump process, but also ...
Shangzhi Li, Shangjiang Guo
doaj   +1 more source

INVARIANT MEASURES CONCENTRATED ON COUNTABLE STRUCTURES

open access: yesForum of Mathematics, Sigma, 2016
Let $L$ be a countable language. We say that a countable infinite $L$
NATHANAEL ACKERMAN   +2 more
doaj   +1 more source

A few problems connected with invariant measures of Markov maps - verification of some claims and opinions that circulate in the literature

open access: yesAdvances in Nonlinear Analysis, 2020
It is well known that C2-transformation φ of the unit interval into itself with a Markov partition (2.1) π = {Ik : k ∈ K} admits φ-invariant density g (g ≥ 0, ∥g∥ = 1) if: (2.2) ∣(φn)′∣ ≥ C1 > 1 for some n (expanding condition); (2.3) ∣φ″(x)/(φ′(y))2 ...
Bugiel Peter   +2 more
doaj   +1 more source

3D Symmetry Measure Invariant to Subject Pose During Image Acquisition

open access: yesBreast Cancer: Basic and Clinical Research, 2011
In this study we evaluate the influence of subject pose during image acquisition on quantitative analysis of breast morphology. Three (3D) and two-dimensional (2D) images of the torso of 12 female subjects in two different poses; (1) hands-on-hip (HH ...
Manas Kawale   +8 more
doaj   +2 more sources

A note on the support of right invariant measures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
A regular measure μ on a locally compact topological semigroup is called right invariant if μ(Kx)=μ(K) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to
N. A. Tserpes
doaj   +1 more source

Surplus-Invariant Risk Measures [PDF]

open access: yesMathematics of Operations Research, 2020
This paper presents a systematic study of the notion of surplus invariance, which plays a natural and important role in the theory of risk measures and capital requirements. So far, this notion has been investigated in the setting of some special spaces of random variables.
Gao, Niushan, Munari, Cosimo
openaire   +5 more sources

Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

open access: yesFEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi   +5 more
wiley   +1 more source

Kolmogorov Equation for a Stochastic Reaction–Diffusion Equation with Multiplicative Noise

open access: yesMathematics
Reaction–diffusion equations can model complex systems where randomness plays a role, capturing the interaction between diffusion processes and random fluctuations.
Kaiyuqi Guan, Yu Shi
doaj   +1 more source

Reciprocal control of viral infection and phosphoinositide dynamics

open access: yesFEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

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