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Stochastic Differential Equations and Ontology

By Genço¿lu, Muharrem Tuncay

Stochastic Differential Equations and Ontology

0 - Default Title
Description
This book challenges the classical view of stochastic processes as merely mathematical models of randomness and instead presents them as fundamental ontological components of nature. While deterministic thinking has long treated randomness as error or epistemic limitation, modern developments in Brownian motion, stochastic differential equations, Lévy processes, fractional Brownian motion, stochastic flows, and random geometry reveal randomness as an intrinsic feature of reality. By reinterpreting the mathematical foundations of these processes, the book develops a stochastic ontology that offers a unified conceptual framework for disciplines including physics, biology, economics, artificial intelligence, neuroscience, quantum technologies, and philosophy. Through the Wiener-Lévy-fBM perspective, continuity, discontinuity, and memory are shown to shape the stochastic structure of time and space, opening new interdisciplinary horizons.
Product details
Binding:
Paperback
Number of Pages:
120
Release Date:
2025-12-30
Publication Date:
2025-12-30
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6209452876
ISBN13:
9786209452871
Weight:
197 g
Height:
150 cm
Width:
220 cm
Thickness:
8 cm
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