A heuristic introduction to the applications of Wiener-Hopf factorisation in random processes

56 mins 26 secs,  822.31 MB,  MPEG-4 Video  640x360,  30.0 fps,  44100 Hz,  1.94 Mbits/sec
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Description: Stage, H
Tuesday 8th October 2019 - 14:00 to 15:00
 
Created: 2019-10-09 10:07
Collection: Complex analysis: techniques, applications and computations
Publisher: Isaac Newton Institute
Copyright: Stage, H
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Nature abounds with examples of stochastic processes, from scattering in porous media to fluctuations in neuronal signalling. Moving into a more abstract realm, we encounter Lévy processes in probabilistic theory and finance. We will discuss the breadth of examples which can be studied under the lens of stochastic processes, with a focus on random walks. Further, we will illustrate the scope and application of Wiener-Hopf factorisation to these problems by the calculation of a first passage time quantity in a simplified model.
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