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Regularity and Integration Theory for a Class of Stochastic Processes: Applications to Parabolic Problems - Softcover

 
9783838135953: Regularity and Integration Theory for a Class of Stochastic Processes: Applications to Parabolic Problems
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This book aims to develop a general integration theory for stochastic processes with stationary increments and spectral density. This class of motions particularly allows the simultaneous study of long-range dependence and intermittency effects and includes the most relevant random processes used in modern stochastic analysis. So for instance the Wiener process, the fractional Brownian motion, the fractional Riesz-Bessel motion but also Poisson and Levy processes. The so obtained knowledge on generalised stochastic integration will be used to achieve regularity results and is applied to parabolic Volterra problems with random noise as well as to the problem of anomalous diffusion with stochastic disturbance along the boundary.

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Born and raised in Köthen, Stefan studied Mathematics and Economics in Halle (Saale). The father of two left the academic research after conferral of the doctorate in 2009 and crossed lines towards insurance industry.

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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book aims to develop a general integration theory for stochastic processes with stationary increments and spectral density. This class of motions particularly allows the simultaneous study of long-range dependence and intermittency effects and includes the most relevant random processes used in modern stochastic analysis. So for instance the Wiener process, the fractional Brownian motion, the fractional Riesz-Bessel motion but also Poisson and Levy processes. The so obtained knowledge on generalised stochastic integration will be used to achieve regularity results and is applied to parabolic Volterra problems with random noise as well as to the problem of anomalous diffusion with stochastic disturbance along the boundary. 140 pp. Englisch. Seller Inventory # 9783838135953

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Book Description Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book aims to develop a general integration theory for stochastic processes with stationary increments and spectral density. This class of motions particularly allows the simultaneous study of long-range dependence and intermittency effects and includes the most relevant random processes used in modern stochastic analysis. So for instance the Wiener process, the fractional Brownian motion, the fractional Riesz-Bessel motion but also Poisson and Levy processes. The so obtained knowledge on generalised stochastic integration will be used to achieve regularity results and is applied to parabolic Volterra problems with random noise as well as to the problem of anomalous diffusion with stochastic disturbance along the boundary. Seller Inventory # 9783838135953

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