Extremal jumps of circuit complexity of unitary evolutions generated by random Hamiltonians by Marcin Kotowski, Michał Oszmaniec, Michał Horodecki

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Stochastic processes govern gut bacterial community assembly in a Schistosoma mansoni-transmitting snail, Biomphalaria straminea. by Zhanhong Yuan, Jinni Hong, Jehangir Khan, Jinghuang Lu, Benjamin Sanogo, Zhongdao Wu, Xi Sun, Datao Lin

“…<h4>Conclusions</h4>This study demonstrates that stochastic processes govern the assembly of the gut microbiota in B. straminea. …”
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Stochastic renormalization group and gradient flow by Andrea Carosso

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Reducing the sign problem with line integrals by Rasmus N. Larsen

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Stochastic process-based drought monitoring and assessment system: A temporal switched weights approach for accurate and precise drought determination. by Muhammad Asif Khan, Sergey Barykin, Dmitry Karpov, Nikita Lukashevich, Akram Ochilov, Rizwan Munir

“…As a result, a novel system for meteorological, agricultural, and hydrological droughts based on the Stochastic Process (Markov chain (MC)) has been proposed to address this issue. …”
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Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group by Johannes V. Roth, Yunxin Ye, Sören Schlichting, Lorenz von Smekal

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Microscopic origin of the spatial and temporal precision in biological systems by Anupam Mondal, Anatoly B. Kolomeisky

“…Although the underlying molecular mechanisms of surprisingly high precision in biology remain not well understood, a novel theoretical picture that relies on the coupling of relevant stochastic processes has recently been proposed and applied to explain different phenomena. …”
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An examination of changes in autumn Eurasian snow cover and its relationship with the winter Arctic Oscillation using 20th Century Reanalysis version 3 by G. J. Marshall

“…Novel aspects are (i) analysis back to 1836, (ii) adjusting the reanalysis SC through comparison with observations, and (iii) analysing the statistical significance of the frequency of periods of significant SC–AO relationships to determine whether these connections can be distinguished from stochastic processes. Across the full span of 20CRv3, there is a small increase in mean September Eurasian SC. …”
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Small molecule metabolites drive plant rhizosphere microbial community assembly patterns by Yanwei Ma, Heqi Wang, Yalong Kang, Tao Wen

“…Variable selection (βNTI &gt;2) drove phylogenetic turnover in ST, while stochastic processes (|βNTI| &lt; 2) dominated in CK. This study provides quantitative insights into the role of rhizosphere metabolites in shaping microbial community assembly and highlights their potential for targeted modulation of rhizosphere microbiomes.…”
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The dynamics of lowland river sections of Danube and Tisza in the Carpathian basin by Imre M. Jánosi, Imre M. Jánosi, István Zsuffa, István Zsuffa, Tibor Bíró, Boglárka O. Lakatos, Boglárka O. Lakatos, András Szöllősi-Nagy, Zsolt Hetesi, Zsolt Hetesi

“…The empirical histograms for half-daily water level changes can be well-fitted by piecewise-exponential functions containing four or three sections, consistent with the understanding that level changes are deterministic rather than stochastic processes, as is well known in hydrology. Such statistical tests can serve as benchmarks for modeling water levels and discharges. …”
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Eukaryotic plankton community and assembly processes in a large-scale water diversion project in China by Liming Zhu, Lihui Feng, Daoxi Zhang, Fang Shi, Xi Zou, Qing Yang, Shan He, Wen Zhu

“…Additionally, the assembly processes of eukaryotic plankton in both DJK and MRP are predominantly influenced by stochastic processes. However, in comparison to DJK, deterministic processes have a more pronounced impact on MRP, accounting for 39.29% and 1.82%, respectively. …”
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Spartina alterniflora invasion significantly alters the assembly and structure of soil bacterial communities in the Yellow River Delta by Pengyuan Sun, Yuxin Wu, Pengcheng Zhu, Jingfeng Wang, Jingfeng Wang, Xiaona Yu, Weihua Guo

“…In comparison, S. alterniflora-associated bacterial communities were enriched with both sulfate-reducing bacteria (SEEP-SRB1) and sulfate-oxidizing bacteria (Sulfurimonas), which maintained a dynamic balance in the local sulfur-cycle, and thereby enhanced S. alterniflora growth. In addition, stochastic processes dominated the assembly of soil bacterial communities associated with all four plant species, but were most important for the S. alterniflora community. …”
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Application of Discrete-time semi-Markov Model to the Stochastic forecasting of Capital assests as stock. by Nafiu, Lukman Abiodun, Patrick, Weke, Alieu Jallow, Mamadou, Carolyne, Ogutu

“…Semi Markov is a stochastic process that generalizes both the Markov chain and the Markov renewal processes. it is well known that the performances of the stock market or factors that move stock prices are technical factors, fundamental factors and market sentiments.…”
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Gene function revealed at the moment of stochastic gene silencing by Shreyan Gupta, James J. Cai

“…Abstract Gene expression is a dynamic and stochastic process characterized by transcriptional bursting followed by periods of silence. …”
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Specificity and tunability of efflux pumps: A new role for the proton gradient? by Matthew Gerry, Duncan Kirby, Boian S Alexandrov, Dvira Segal, Anton Zilman

“…We developed a set of mathematical models describing operation of efflux pumps as a discrete cyclic stochastic process across a network of states characterizing pump conformations and the presence/absence of bound ligands and protons. …”
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