An Intuitive Introduction to Fractional and Rough Volatilities

An Introduction to Rough Paths

Abstract: This article aims to be an introduction to the theory of rough paths, in which integrals of differential forms against irregular paths and differential equations controlled by irregular paths are defined. This theory makes use of an extension of the notion of iterated integrals of the paths, whose algebraic properties appear to be fundamental. This theory is well-suited for stochastic...

An Intuitive Introduction to Operator Semi-Groups

This article aims to give an intuitive introduction to operator semi-groups and their generators from a probabilistic perspective. By ‘intuitive’ it is meant that the article relies mainly on heuristics and analogies to make its points. For example the definition of the generator is motivated from an analogy to the Cauchy functional equation g(t + s) = g(t)g(s) for real-valued functions. No pro...

Introduction: An Intuitive Approach to Surface and Interface Science

Let us imagine – just for a moment – a world without surfaces and interfaces. This world would be totally uniform, monotonous, and boring. There were not all these many distinct things that actually make our world so diverse and beautiful: celestial bodies, rocks, lakes, plants, animals, and all manmade structures such as buildings, cars, tools, computers, and so on. How do we marvel at the bea...

An Introduction to Sociolinguistics

ترجمه و تحقیق کتاب an introduction to the history of mysticism

پایان نامه ی ارائه شده ترجمه ی کتاب «an introduction to the history of mysticism» نوشته ی مارگارت اسمیت که وی پژوهشگر، خاورشناس و محقق برجسته ی تصوف و عرفان می باشد. موضوع اساسی و مهم این کتاب عرفان در ادیان مختلف است. نویسنده در ابتدا این کلمه را ریشه یابی کرده و سپس تعریفی از آن ارائه داده و آن را در ادیان مختلف مورد بحث قرار داده است و در هر فصل کتاب به معرفی عرفای آن دین یا عصر خاصی پرداخته...