Assembly Characteristics and Influencing Factors of the Soil Microbial Community in the Typical Forest of Funiu Mountain by Kunrun He, Yiran Lai, Shurui Hu, Meiyi Song, Ye Su, Chunyang Li, Xinle Wu, Chunyue Zhang, Yuanhang Hua, Jinyong Huang, Shujuan Guo, Yadong Xu

“…The results from the null models (the proportion occupied by dispersal limitation is 62.2%, 82.2%, and 64.4% in LG, QA, and QAPA), modified stochasticity ratio (LG: 0.708, QA: 0.664, and QAPA: 0.801), and neutral community models (LG: R² = 0.665, QA: R² = 0.630, and QAPA: R² = 0.665) suggested that stochastic processes predominantly govern the assembly of soil bacterial communities. …”
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Preliminary evidence for chaotic signatures in host-microbe interactions by Yehonatan Sella, Nichole A. Broderick, Kaitlin M. Stouffer, Deborah L. McEwan, Frederick M. Ausubel, Arturo Casadevall, Aviv Bergman

“…Chaotic systems are inherently unpredictable, although it is possible to generate short-term probabilistic models, as is done in applications of stochastic processes and machine learning to weather forecasting. …”
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Variation and assembly mechanisms of Rhinolophus ferrumequinum skin and cave environmental fungal communities during hibernation periods by Haixia Leng, Aoqiang Li, Zhongle Li, Joseph R. Hoyt, Wentao Dai, Yanhong Xiao, Jiang Feng, Keping Sun

“…In addition, dispersal limitations during stochastic processes were a key factor in the formation of environmental fungal communities on bat skin and in caves. …”
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Patterns of association of native and exotic boring polychaetes on the southeastern Pacific coast of Chile: the combined importance of negative, positive and random interactions by Paula E. Neill, Nicolás Rozbaczylo, Cristóbal Villaseñor-Parada, Garen Guzmán-Rendón, Sandra Sampértegui, Cristián E. Hernández

“…Nevertheless, the large number of random interactions observed indicates that species coexistence can be accounted for by stochastic processes, as proposed by neutral theory. Coexistence may be a frequent result of interactions between native and exotic species, although less apparent than competitive exclusion. …”
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Ecological and evolutionary processes involved in shaping microbial habitat generalists and specialists in urban park ecosystems by Shuzhen Li, Xue Yan, Mamun Abdullah Al, Kexin Ren, Christopher Rensing, Anyi Hu, Andrey N. Tsyganov, Yuri Mazei, Alexey Smirnov, Natalia Mazei, Jun Yang

“…Under ecological perspective, community assembly of microbial communities was mainly driven by stochastic processes; however, deterministic processes were higher for habitat specialists than generalists. …”
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Spatial scale affects the relative role of stochasticity versus determinism in soil bacterial communities in wheat fields across the North China Plain by Yu Shi, Yuntao Li, Xingjia Xiang, Ruibo Sun, Teng Yang, Dan He, Kaoping Zhang, Yingying Ni, Yong-Guan Zhu, Jonathan M. Adams, Haiyan Chu

“…Conclusions Our findings revealed that (1) stochastic processes are relatively more important on the North China Plain, while deterministic processes are more important on the Tibetan Plateau; (2) soil pH was the major factor in shaping soil bacterial community structure of the North China Plain; and (3) most variation in soil microbial community composition could not be explained with existing environmental and spatial factors. …”
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Pollen from the Deep-Sea: A Breakthrough in the Mystery of the Ice Ages by María F. Sánchez Goñi, María F. Sánchez Goñi, Stéphanie Desprat, Stéphanie Desprat, William J. Fletcher, César Morales-Molino, César Morales-Molino, Filipa Naughton, Filipa Naughton, Dulce Oliveira, Dulce Oliveira, Dulce Oliveira, Dunia H. Urrego, Coralie Zorzi

“…This hypothesis should be tested by the integration of stochastic processes in Earth models of intermediate complexity.…”
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Environmental Response to Root Secondary Metabolite Accumulation in Paeonia lactiflora: Insights from Rhizosphere Metabolism and Root-Associated Microbial Communities by Xiao Sun, Xinke Zhang, Guoshuai Zhang, Yujing Miao, Tiexin Zeng, Min Zhang, Huihui Zhang, Li Zhang, Linfang Huang

“…The null model and the dispersion niche continuum index (DNCI) suggested that stochastic processes (dispersal limitation) dominated the community assembly of both the RS and BS. …”
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Effects of operational parameters on bacterial communities in Hong Kong and global wastewater treatment plants by Yulin Zhang, Yu Deng, Chunxiao Wang, Shuxian Li, Frankie T. K. Lau, Jizhong Zhou, Tong Zhang

“…The co-occurrence analysis identified 40 pairs of relationships that existed among Hong Kong WWTPs to show solid associations between two species and stochastic processes took large proportions for the bacterial community assembly of six WWTPs. …”
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Duration of Rainfall Fades in GeoSurf Satellite Constellations by Emilio Matricciani, Carlo Riva

“…We have studied the stochastic processes A and B concerning fade durations due to rain, by simulating attenuation time series <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> (dB) in the zenith paths of GeoSurf satellite constellations, at sites located in different climatic regions, with the Synthetic Storm Technique. …”
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Uncertainty quantification of photovoltaic power generation by Faranak Golestaneh

“…The reason is that they treat random variables for each lead-time and each location individually and separately while PV generations are stochastic processes with spatially spread and time interdependent infeeds. …”
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New panel unit root and cointegration tests of purchasing power parity by Cerrato, Mario

“…However, these methodologies have been shown to have low power and be inadequate when used with highly persistent stochastic processes (for unit root tests of the real exchange rate). …”
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Characterization of water microbiota and their relationship with resident oysters during an oyster mortality event by Mingkun Liu, Qingyuan Li, Wenwen Xu, Luping Wang, Fucun Wu, Lintao Tan, Li Li, Guofan Zhang

“…However, the role of water microbiota and the significance of deterministic and stochastic processes in aquatic hosts facing mortality threats are largely unknown. …”
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Depth shapes microbiome assembly and network stability in the Mariana Trench by Yi Li, Jinjun Kan, Feilong Liu, Kaiyue Lian, Yantao Liang, Hongbing Shao, Andrew McMinn, Hualong Wang, Min Wang

“…There is no significant difference in the niche breadth occupied by bacteria, archaea, and microeukaryotes, indicating that microorganisms from the surface to the hadal water of the trench are well adapted to this environment. Stochastic processes significantly influenced the distribution of bacteria and microeukaryotes as well as archaea when the phylogenetic distance was considered. …”
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Spatial gradients in the characteristics of soil-carbon fractions are associated with abiotic features but not microbial communities by A. Sengupta, J. Indivero, C. Gunn, M. M. Tfaily, M. M. Tfaily, R. K. Chu, J. Toyoda, V. L. Bailey, N. D. Ward, N. D. Ward, J. C. Stegen

“…The strong influence of stochastic processes was further reflected in there being no statistical relationship between community assembly processes (e.g., the relative influence of stochastic assembly processes) and C chemistry (e.g., heteroatom content). …”
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Signal Fluctuations and the Information Transmission Rates in Binary Communication Channels by Agnieszka Pregowska

“…The <inline-formula><math display="inline"><semantics><mrow><mi>I</mi><mi>S</mi></mrow></semantics></math></inline-formula> are typically modeled as stationary stochastic processes, which I consider here as two-state Markov processes. …”
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Asymptotics, exact results, and analogies in p-adic random matrix theory by Van Peski, Roger

“…This generalizes the explicit formula for the classical Cohen-Lenstra measure on abelian p-groups. (5) We give an exact sampling algorithm for products of corners of Haar GLₙ(Zₚ)-distributed matrices, and show by analyzing it that the singular numbers of such products obey a law of large numbers and their fluctuations converge dynamically to independent Brownian motions. (6) We classify left GLₙ(Qₚ)-invariant stochastic processes on the (discrete) homogeneous space GLₙ(Qₚ)/GLₙ(Zₚ) with independent increments. …”
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L<i>^p</i>-Solution to the Random Linear Delay Differential Equation with a Stochastic Forcing Term by Juan Carlos Cortés, Marc Jornet

“…The coefficients <i>a</i> and <i>b</i> are assumed to be random variables, while the forcing term <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> and the initial condition <inline-formula> <math display="inline"> <semantics> <mrow> <mi>g</mi> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> are stochastic processes on their respective time domains. The equation is regarded in the Lebesgue space <inline-formula> <math display="inline"> <semantics> <msup> <mi mathvariant="normal">L</mi> <mi>p</mi> </msup> </semantics> </math> </inline-formula> of random variables with finite <i>p</i>-th moment. …”
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Flexible estimation of temporal point processes and graphs by Sulem, D

“…</p> <p>On the one hand, temporal point processes are stochastic processes used to model event data, i.e., data that comes as discrete points in time or space where some phenomenon occurs. …”

Roughness properties of paths and signals by Das, P

“…We investigate the finite sample performance of our estimator for measuring the roughness of sample paths of stochastic processes using detailed numerical experiments based on sample paths of fractional Brownian motion and Takagi-Landsberg functions. …”