Archil Gulisashvili received his Ph.D. degree and Doctor of Science degree from the Tbilisi State University in Tbilisi, Georgia. Currently he is a Professor of Mathematics at Ohio University. Prior to joining Ohio University, he has held visiting positions at Boston University, Cornell University, and Howard University. His research interests include financial mathematics, Schrödinger semigroups, Feynman-Kac propagators, and Fourier analysis.

• Preface.- Aknowledgements.- 1.Volatility Processes.- 2.Stock Price Models with Stochastic Volatility.- 3.Realized Volatility and Mixing Distributions.- 4.Integral Transforms of Distribution Densities.- 5.Asymptotic Analysis of Mixing Distributions.- 6.Asymptotic Analysis of Stock Price Distributions.- 7.Regularly Varying Functions and Pareto Type Distributions.- 8.Asymptotic Analysis of Option Pricing Functions.- 9.Asymptotic Analysis of Implied Volatility.- 10.More Formulas for Implied Volatility.- 11.Implied Volatility in Models Without Moment Explosions.- Bibliography.- Index​.

Archil Gulisashvili received his Ph.D. degree and Doctor of Science degree from the Tbilisi State University in Tbilisi, Georgia. Currently he is a Professor of Mathematics at Ohio University. Prior to joining Ohio University, he has held visiting positions at Boston University, Cornell University, and Howard University. His research interests include financial mathematics, Schrödinger semigroups, Feynman-Kac propagators, and Fourier analysis.

• Preface.- Aknowledgements.- 1.Volatility Processes.- 2.Stock Price Models with Stochastic Volatility.- 3.Realized Volatility and Mixing Distributions.- 4.Integral Transforms of Distribution Densities.- 5.Asymptotic Analysis of Mixing Distributions.- 6.Asymptotic Analysis of Stock Price Distributions.- 7.Regularly Varying Functions and Pareto Type Distributions.- 8.Asymptotic Analysis of Option Pricing Functions.- 9.Asymptotic Analysis of Implied Volatility.- 10.More Formulas for Implied Volatility.- 11.Implied Volatility in Models Without Moment Explosions.- Bibliography.- Index​.

Archil Gulisashvili received his Ph.D. degree and Doctor of Science degree from the Tbilisi State University in Tbilisi, Georgia. Currently he is a Professor of Mathematics at Ohio University. Prior to joining Ohio University, he has held visiting positions at Boston University, Cornell University, and Howard University. His research interests include financial mathematics, Schrödinger semigroups, Feynman-Kac propagators, and Fourier analysis.

• Preface.- Aknowledgements.- 1.Volatility Processes.- 2.Stock Price Models with Stochastic Volatility.- 3.Realized Volatility and Mixing Distributions.- 4.Integral Transforms of Distribution Densities.- 5.Asymptotic Analysis of Mixing Distributions.- 6.Asymptotic Analysis of Stock Price Distributions.- 7.Regularly Varying Functions and Pareto Type Distributions.- 8.Asymptotic Analysis of Option Pricing Functions.- 9.Asymptotic Analysis of Implied Volatility.- 10.More Formulas for Implied Volatility.- 11.Implied Volatility in Models Without Moment Explosions.- Bibliography.- Index​.