Results 21 to 30 of about 117,134 (268)
Measurement of Stochastic Entropy Production [PDF]
Physical Review Letters, 2006 Using fluorescence spectroscopy we directly measure entropy production of a single two-level system realized experimentally as an optically driven defect center in diamond. We exploit a recent suggestion to define entropy on the level of a single stochastic trajectory (Seifert, Phys. Rev. Lett. {\bf 95}, 040602 (2005)).
Tietz, C. +4 more
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Stochastic flows with interaction and measure-valued processes
International Journal of Mathematics and Mathematical Sciences, 2003 We consider the new class of the Markov measure-valued stochastic processes with constant mass. We give the construction of such processes with the family of the probabilities which describe the motion of single particles.
Andrey A. Dorogovtsev
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Approximation of solutions of the stochastic wave equation by using the Fourier series
Modern Stochastics: Theory and Applications, 2018 A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered.
Vadym Radchenko, Nelia Stefans’ka
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Moment estimates for invariant measures of stochastic Burgers equations
Advances in Difference Equations, 2020 In this paper, we study moment estimates for the invariant measure of the stochastic Burgers equation with multiplicative noise. Based upon an a priori estimate for the stochastic convolution, we derive regularity properties on invariant measure.
Yu Shi, Bin Liu
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Stochastic Comparisons of Some Distances between Random Variables
Mathematics, 2021 The aim of this paper is twofold. First, we show that the expectation of the absolute value of the difference between two copies, not necessarily independent, of a random variable is a measure of its variability in the sense of Bickel and Lehmann (1979).
Patricia Ortega-Jiménez +2 more
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Modern Stochastics: Theory and Applications, 2020 In this paper, a solution is given to reflected backward doubly stochastic differential equations when the barrier is not necessarily right-continuous, and the noise is driven by two independent Brownian motions and an independent Poisson random measure.
Mohamed Marzougue, Yaya Sagna
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Stochastic Properties of Fractional Generalized Cumulative Residual Entropy and Its Extensions
Entropy, 2022 The fractional generalized cumulative residual entropy (FGCRE) has been introduced recently as a novel uncertainty measure which can be compared with the fractional Shannon entropy. Various properties of the FGCRE have been studied in the literature.
Ghadah Alomani, Mohamed Kayid
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On Deviation Measures in Stochastic Integer Programming [PDF]
Electronic Notes in Discrete Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Märkert, Andreas, Schultz, Rüdiger
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Invariant Measure for Stochastic Schrödinger Equations [PDF]
Annales Henri Poincaré, 2021 Quantum trajectories are Markov processes that describe the time-evolution of a quantum system undergoing continuous indirect measurement. Mathematically, they are defined as solutions of the so-called "Stochastic Schrödinger Equations", which are nonlinear stochastic differential equations driven by Poisson and Wiener processes.
Benoist, Tristan +3 more
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Heat equation with general stochastic measure colored in time
Modern Stochastics: Theory and Applications, 2014 A stochastic heat equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure $d\mu (t)$ is investigated in this paper. For the integrator μ, we assume the σ-additivity in probability only. The existence, uniqueness, and Hölder regularity
Vadym Radchenko
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