Results 51 to 60 of about 76,162 (262)
Random Infinite Permutations and the Cyclic Time Random Walk [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 The random stirring process is a natural random walk on the set of permutations of the vertex set of a graph. The cyclic time random walk is a self interacting random walk on a graph.
Omer Angel
doaj +1 more source
The human gut microbiome across the life course
FEBS Letters, EarlyView.Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
Data Streams as Random Permutations: the Distinct Element Problem [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 In this paper, we show that data streams can sometimes usefully be studied as random permutations. This simple observation allows a wealth of classical and recent results from combinatorics to be recycled, with minimal effort, as estimators for various ...
Ahmed Helmi +3 more
doaj +1 more source
Repeatable Random Permutation Set
CoRR, 2022 Random permutation set (RPS), as a recently proposed theory, enables powerful information representation by traversing all possible permutations. However, the repetition of items is not allowed in RPS while it is quite common in real life. To address this issue, we propose repeatable random permutation set ($\rm R^2PS$) which takes the repetition of ...
Wenran Yang, Yong Deng
openaire +2 more sources
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
Random walks and random permutations [PDF]
Journal of Physics A: Mathematical and General, 2001 A connection is made between the random turns model of vicious walkers and random permutations indexed by their increasing subsequences. Consequently the scaled distribution of the maximum displacements in a particular asymmeteric version of the model can be determined to be the same as the scaled distribution of the eigenvalues at the soft edge of the
openaire +3 more sources
Exact testing with random permutations [PDF]
TEST, 2017 When permutation methods are used in practice, often a limited number of random permutations are used to decrease the computational burden. However, most theoretical literature assumes that the whole permutation group is used, and methods based on random permutations tend to be seen as approximate.
Jesse Hemerik, Jelle Goeman
openaire +5 more sources
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
On Increasing Subsequences of Random Permutations
Journal of Combinatorial Theory, Series A, 1996 Let \(L_n\) be the length of a longest increasing subsequence in a random permutation of \(1,2,\dots,n\). Further let \(E[L_n]\) and \(V[L_n]\) be the expected value and the variance of \(L_n\), respectively. It is well known that \((2-o(1))\sqrt n\leq E[L_n]\leq 2\sqrt n\). By some recent results of M. Talagrand, B. Bollobás and J.
openaire +2 more sources
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
wiley +1 more source