Results 61 to 70 of about 76,132 (306)

Cauchy problems and invariant measures for one stochastic functional-differential equation

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2019
We deal with Cauchy problem for one stochastic functional-differential equation. We study the existence, uniqueness and continuous dependence on initial function of so-called mild solution to this problem.
A. N. Stanzhytskyi, A. O. Tsukanova
doaj   +1 more source

Calpain small subunit homodimerization is robust and calcium‐independent

FEBS Letters, EarlyView.
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy, Trina Dykstra‐MacPherson, Mathias A. Bell, Peter L. Davies, Ruby May A. Sullan   +4 more
wiley   +1 more source

Forcing with Invariant Measures

Logica Universalis
Abstract This paper introduces a model-theoretic generalization of the notion of forcing with random reals, in which forcing gives rise to random generic structures . Specifically, we consider forcing with $$
Nathanael L. Ackerman, Cameron E. Freer, Mohammad Golshani, Mostafa Mirabi, Rehana Patel   +4 more
openaire   +1 more source

A note on the support of right invariant measures

International 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

A computer scientist’s perspective on approximation of IFS invariant sets and measures with the random iteration algorithm [PDF]

International Journal of Electronics and Telecommunications
We study invariant sets and measures generated by iterated function systems defined on countable discrete spaces that are uniform grids of a finite dimension.
Tomasz Martyn
doaj   +1 more source

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

Electronic 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

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Attractor Properties of Non-Reversible Dynamics w.r.t. Invariant Gibbs Measures on the Lattice

, 2016
We consider stochastic dynamics of lattice systems with finite local state space, possibly at low temperature, and possibly non-reversible. We assume the additional regularity properties on the dynamics: a) There is at least one stationary measure which ...
Külske, Christof, Jahnel, Benedikt
core   +1 more source

Non-Archimedean valued quasi-invariant descending at infinity measures

International Journal of Mathematics and Mathematical Sciences, 2005
Measures with values in non-Archimedean fields, which are quasi-invariant and descending at infinity on topological vector spaces over non-Archimedean fields, are studied in this paper. Moreover, their characteristic functionals are considered.
S. V. Lüdkovsky
doaj   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source