Results 31 to 40 of about 24,371 (146)

Martingale-valued measures, Ornstein-Uhlenbeck processes with jumps and operator self-decomposability in Hilbert space [PDF]

open access: yes, 2006
We investigate a class of Hilbert space valued martingale-valued measures whose covariance structure is determined by a trace class positive operator valued measure. The paradigm example is the martingale part of a Levy process.
Applebaum, D.
core   +1 more source

Ornstein-Uhlenbeck-Cauchy Process

open access: yes, 1999
We combine earlier investigations of linear systems with L\'{e}vy fluctuations [Physica {\bf 113A}, 203, (1982)] with recent discussions of L\'{e}vy flights in external force fields [Phys.Rev. {\bf E 59},2736, (1999)].
Cambanis   +19 more
core   +1 more source

p-variation of Ornstein–Uhlenbeck type processes

open access: yesLietuvos Matematikos Rinkinys, 2007
The p-variation of sample paths of Ornstein–Uhlenbeck type processes is investigated. It is shown that the p-variation index of such a process is the same as the p-variation index of the driving Lévy process, provided this process is of unbounded total ...
Martynas Manstavičius
doaj   +1 more source

Optimal consumption problem in the Vasicek model [PDF]

open access: yesOpuscula Mathematica, 2015
We consider the problem of an optimal consumption strategy on the infinite time horizon based on the hyperbolic absolute risk aversion utility when the interest rate is an Ornstein-Uhlenbeck process.
Jakub Trybuła
doaj   +1 more source

Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles

open access: yesFrontiers in Physics, 2021
Active matter systems are driven out of equilibrium by conversion of energy into directed motion locally on the level of the individual constituents.
Lennart Dabelow, Ralf Eichhorn
doaj   +1 more source

Persistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps

open access: yesJournal of Biological Dynamics, 2022
This paper is concerned with a modified Leslie–Gower and Holling-type II two-predator one-prey model with Lévy jumps. First, we use an Ornstein–Uhlenbeck process to describe the environmental stochasticity and prove that there is a unique positive ...
Yongxin Gao, Fan Yang
doaj   +1 more source

Initial Distance‐Dependent Mean Force Drives Synaptic Vesicle Motion Toward Fusion Sites in Stimulated Hippocampal Neurons

open access: yesAdvanced Science, EarlyView.
Synaptic vesicle (SV) motion and exocytosis dynamics in the presynaptic terminals of live neurons are intimately linked to synaptic transmission during neuronal activity. In this work, it is revealed that, during electrical stimulation, SVs located farther from their fusion sites exhibit greater straightness and experience larger mean forces directed ...
Gyunam Park   +7 more
wiley   +1 more source

Morphological variation in atlas and axis of Neotropical spiny rats (Rodentia, Echimyidae)

open access: yesThe Anatomical Record, EarlyView.
Abstract The unique morphologies of the first two cervical vertebrae, the atlas and axis, represent a significant innovation in mammalian evolution. These structures support the weight of the head and enable intricate movements of the head and neck.
Thomas Furtado da Silva Netto   +3 more
wiley   +1 more source

The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke   +3 more
wiley   +1 more source

Analysis of a stochastic fear effect predator-prey system with Crowley-Martin functional response and the Ornstein-Uhlenbeck process

open access: yesAIMS Mathematics
This paper studied a stochastic fear effect predator-prey model with Crowley-Martin functional response and the Ornstein-Uhlenbeck process. First, the biological implication of introducing the Ornstein-Uhlenbeck process was illustrated. Subsequently, the
Jingwen Cui, Hao Liu, Xiaohui Ai
doaj   +1 more source

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