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This book is aimed at covering the bases on random variables, random vectors and stochastic processes, necessary to be able to address the study of stochastic models based mainly on random and stochastic differential equ...

Subjects / keywords: DUBINS, LESTER E; DOVER PUBLICATIONS; 512.97 D814i

Changes in species diversity of different taxa along environmental gradients are usually correlated, resulting in a pattern called cross-taxon congruence. This pattern can be due to functional relationships between taxa,...

We establish sharp higher-order Hölder regularity estimates up to the boundary for solutions to equations of the form ∂tu- Lu= f(t, x) in I× Ω where I⊂ R, Ω ⊂ Rn and f is Hölder continuous. The nonlocal operat...

Abstract Microorganisms play key roles in nutrient cycling and soil remediation in saline-alkaline ecosystems. However, how their assembly rules and interaction networks change during natural succession remains unclear. ...

The paper presents the analysis of the spatial and spatio‑temporal tendencies and dependence in matters related to the situation in the labour market of the Kujawsko‑Pomorskie Voivodeship across municipalities in the...

Abstract Lava tubes formed during the 2021 Tajogaite eruption on La Palma (Canary Islands, Spain) provide a rare opportunity to investigate the earliest stages of microbial colonization in a newly created subterranean vo...

Manufacturing variations are becoming an unavoidable issue in modern fabrication processes; therefore, it is crucial to be able to include stochastic uncertainties in the design phase. In this paper, integrated photonic ...

This paper develops a systematic method for calculating approximate prices for a wide range of securities implying the tools of spectral analysis, singular and regular perturbation theory. Price options depend on stochas...

Abstract In this study, a range of novel optical soliton solutions to the nonlinear conformable Schrödinger equation influenced by multiplicative white noise is presented. By employing the unified method, several types ...

We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady state...

A comprehensive structural, petrological, and geophysical study of the 385 ± 2 Ma Devonian El Hornito Pluton (EHP) in the Sierra Grande de San Luis, Argentina, is presented. We establish that the EHP results from the in...

We develop an age-structured hydrodynamic (HD) theory that describes the collective behavior of N≫1 anomalously diffusing particles under stochastic renewal resetting. The theory treats the age of a particle—the time...

Abstract Ice shocks associated with the springtime thermal expansion of ice represent a manifestation of fracture processes in a complex nonlinear medium. In this study, we investigate temporal changes in statistical cha...

Foundation models (FMs) represent a significant evolution in artificial intelligence (AI), impacting diverse fields. Within radiology, this evolution offers greater adaptability, multimodal integration, and improved gene...

In spite of their indispensable role in host nutrition, the anaerobic gut fungal (AGF) component of the herbivorous gut microbiome remains poorly characterized. To examine global patterns and determinants of AGF diversit...

Coastal regions are among the most vulnerable ecosystems due to the combined impacts of natural processes and human activities. Climate change, population growth, and coastal development accelerate shoreline dynamics, in...

Mathematics and computer science play a pivotal role in modern biology. Dynamical models based on differential equations are particularly adapted to describe dynamic behaviors of many biological processes. However, tradi...

In current conditions, budget security is one of the essential components of financial security. The budget is the leading financial plan of the state and reflects most of the economic processes in the country; it also r...

Subjects / keywords: Stochastic processes; Markov processes; Queuing theory; Electronic books

Motor activity of humans displays complex temporal fluctuations which can be characterised by scale-invariant statistics, thus demonstrating that structure and fluctuations of such kinetics remain similar over a broad ra...

In volleyball games, we define a rally as the succession of events observed since the ball is served until one of the two teams on the court scores the point. In this process, athletes evolve in response to physical and ...

Subjects / keywords: R (Computer program language); Stochastic processes

Subjects / keywords: Probabilities; Stochastic processes