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On Fractional Brownian Motion with Application to SMP

On Fractional Brownian Motion with Application to SMP Mathematics

On Fractional Brownian Motion with Application to SMP

0 - Default Title
Description
This book extends Pontryagin's stochastic maximum principle to systems driven by fractional Brownian motion . It explores two main topics. The first deals with a risk-neutral optimal control problem, where the convex perturbation method is used to derive optimality conditions. The second topic focuses on risk-sensitive control, formulated via backward stochastic differential equation . Here, the goal is to minimize a convex disutility function of cost. The study links risk-neutral and risk-sensitive formulations, establishes the equivalence between exponential utility and quadratic BSDEs, and transforms the problem into a standard risk-neutral form to derive a stochastic maximum principle.
Product details
Binding:
Paperback
Number of Pages:
100
Release Date:
2025-11-18
Publication Date:
2025-11-18
Publisher:
GlobeEdit
Languages:
Original: English
ISBN10:
6209035949
ISBN13:
9786209035944
GPSR Manufacturer Reference:
Weight:
167 g
Height:
150 cm
Width:
220 cm
Thickness:
6 cm
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