Ito formula for the infinite dimensional fractional Brownian motion [PDF]
Ciprian A. Tudor
openalex
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand [PDF]
Carl Mueller, Zhixin Wu
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Numerical Computation of the Rosenblatt Distribution and Applications
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley +1 more source
DEFINITION, PROPERTIES AND WAVELET ANALYSIS OF MULTISCALE FRACTIONAL BROWNIAN MOTION
Jean‐Marc Bardet, Pierre Bertrand
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Water Molecular Dynamics During Dough Heating by Fast Field Cycling Nuclear Magnetic Resonance
Real time FFC measurements confirms the competition of water between gluten and starch granule, gluten hindering the starch water uptake and limits starch swelling in dough. ABSTRACT Measurements of the water 1H nuclear magnetic resonance (NMR) relaxation rate R1 in hydrated starch (SW), gluten (GW) and dough (DW) were performed at different ...
Corinne Rondeau‐Mouro +1 more
wiley +1 more source
Resting-State Functional MRI Analyses for Brain Activity Characterization: A Narrative Review of Features and Methods. [PDF]
Functional connectivity is a popular resting‐state functional MRI analysis. Nevertheless, there are alternative approaches that can be used to characterize the BOLD signal differently, which allow for indirect characterization of brain activity, focusing on regional connectivity, intensity, and complexity.
Amador-Tejada A +3 more
europepmc +2 more sources
Stochastic calculus for fractional Brownian motion with Hurst exponent H>¼: A rough path method by analytic extension [PDF]
Jérémie Unterberger
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Abstract Purpose Accurate MR signal simulation, including microvascular structures and water diffusion, is crucial for MRI techniques like fMRI BOLD modeling and MR vascular Fingerprinting (MRF), which use susceptibility effects on MR signals for tissue characterization.
Thomas Coudert +9 more
wiley +1 more source
Cell-to-cell communication: from physical calling to remote emotional touching. [PDF]
Banaeian Far S +2 more
europepmc +1 more source
QRS Detection in Noisy Electrocardiogram Based on Multi‐Parameter Constrained Stochastic Resonance
One major challenge of QRS wave detection is the deleterious impact of inevitable noise in electrocardiogram (ECG) signals, which can deteriorate the detection performance of algorithms. Previous research has shown a nonlinear monostable potential‐based algorithm for enhancing the QRS complex in a noisy environment. Its main mechanism is the stochastic
Wenyu Shang, Masaki Sekino
wiley +1 more source

