Results 61 to 70 of about 481,670 (272)
KPZ equation, its renormalization and invariant measures [PDF]
, 2014 The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is ill-posed because the nonlinearity is marginally defined with respect to the roughness of the forcing noise.
Funaki, Tadahisa, Quastel, Jeremy
core
Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
wiley +1 more source
Journal of Physics CommunicationsUnder mild assumptions, the SRB measure $\mu $ associated to an Axiom A attractor $A$ has the following properties: (i) the empirical measure starting at a typical point near $A$ converges weakly to $\mu $ ; (ii) the pushforward of any Lebesgue ...
Julian Newman, Peter Ashwin
doaj +1 more source
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
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
Invariant measures for stochastic functional differential equations
, 2017 We establish new general sufficient conditions for the existence of an invariant measure for stochastic functional differential equations and for exponential or subexponential convergence to the equilibrium.
Butkovsky, Oleg, Scheutzow, Michael
core +1 more source
FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +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 TelecommunicationsWe 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
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source