Results 41 to 50 of about 2,259,132 (287)
Cooling down stochastic differential equations: almost sure convergence [PDF]
, 2022 We consider almost sure convergence of the SDE $dX_t=\alpha_t d t + \beta_t d W_t$ under the existence of a $C^2$-Lyapunov function $F:\mathbb R^d \to \mathbb R$. More explicitly, we show that on the event that the process stays local we have almost sure
Kassing, S., Dereich, S.
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On the almost sure convergence of weighted sums of random elements in D[0,1]
International Journal of Mathematics and Mathematical Sciences, 1981 Let {wn} be a sequence of positive constants and Wn=w1+…+wn where Wn→∞ and wn/Wn→∞. Let {Wn} be a sequence of independent random elements in D[0,1]. The almost sure convergence of Wn−1∑k=1nwkXk is established under certain integral conditions and growth ...
R. L. Taylor, C. A. Calhoun
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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An almost sure conditional convergence result and an application to a generalized Polya urn [PDF]
, 2009 We prove an almost sure conditional convergence result toward a Gaussian kernel and we apply it to a two-colors randomly reinforced ...
Crimaldi, I, Crimaldi, Irene
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The microbiome in human skin aging
FEBS Letters, EarlyView.Age‐related skin changes encompass the well‐known visible phenotypic alterations, together with microbiome dysbiosis and a series of molecular aging hallmarks. These hallmarks characterize not only a fully stablished aged phenotype but also the skin aging process itself.
Manuel Huerta Arana +3 more
wiley +1 more source
Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
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On almost sure convergence rates for the kernel estimator of a covariance operator under negative association [PDF]
Journal of Mahani Mathematical ResearchIt is suppose that $\{X_n,~n\geq 1\}$ is a strictly stationary sequence of negatively associated random variables with continuous distribution function F.
Hadi Jabbari
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Molecular Oncology, EarlyView.Arginine methylation can be viewed as a persistence‐prone post‐translational modification regulated by a network of PRMTs. Competitive and compensatory interactions among PRMTs can redistribute methylation across substrate pools shaped by sequence, structural, spatial, and environmental layers, reinforcing RNA‐processing, chromatin, and signaling ...
So Hyun Kwon, Ji Min Lee
wiley +1 more source
Abstract and Applied Analysis, 2014 The convergence of the split-step backward Euler (SSBE) method applied to stochastic differential equation with variable delay is proven in Lp-sense.
Qian Guo, Xueyin Tao
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On H -Valued Continuous Robbins - Monro Processes. [PDF]
The Egyptian Statistical Journal, 1998 In this work, we consider a continuous Robbins - Monro process in a Hilbert space, a nonlinear mapping ƒ is treated instead of the usual linearity assumption.
Hoda Ali, Hala Elnagar
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