Dr. Gunduz Caginalp

 
Professor of Mathematics, University of Pittsburgh

        caginalp [use at symbol] pitt [use period] edu     (412) 624-8339

 

Our Research In the News...

            Science

            NY Times

                     SIAM News

Newsletter: Quantitative Behavioral Finance 

 

 

Previous Positions

 

 

Graduate Courses Taught

Mathematical modeling, numerical analysis of partial differential equations, ordinary differential equations 1 and 2, partial differential equations 1 and 2, linear and nonlinear elliptic differential equations (advanced), nonlinear problems, physics of solidification, linear functional analysis 1 and 2, functional analysis with applications to nonlinear problems, advanced topics in differential equations, variational methods in nonlinear problems, mathematical physics:  statistical mechanics and quantum theory, renormalization and scaling theory, renormalization group in differential equations, mathematics of finance I (methods and optimization), III (derivatives and options) and IV (classical and behavioral finance), dynamics of financial markets.

 

 

Recent Graduate Students

A. Duran (2006) Assistant Professor, Math Dept, University of Michigan, Ann Arbor starting September 2006.

H. Merdan (2004) Visiting Assistant Professor, Illinois Institute of Technology 2004-2005), Currently at TOBB (Economics and Technology University)

Y. B. Altundas (2002) IMA Postdoc (2002-2004), Senior Research Scientist (2004-current) at Schlumberger Research Labs.
 

 

 

Research Highlights
 

Differential Equations and Optimization in Financial Markets
 Statistical Methods in Financial Markets

Experimental Asset Markets and Modeling


 Renormalization Group and Multiscaling Techniques in Differential Equations
Interface Problems and Phase Field Computations  
 

 

Publication List  

As an HTML document

 

 


Selected Papers

 

 

Papers Related to Experimental Economics (with 2002 Nobel Laureate Vernon Smith and David Porter)

Do Speculative Stocks Lower Prices and Increase Volatility of Value Stocks? (2002)

Financial Bubbles: Excess Cash, Momentum, and Incomplete Information (2001)

Momentum and Overreaction in Experimental Asset Markets (2000)

Overreaction, Momentum, Liquidity, and Price Bubbles in Laboratory and Field Asset Markets (with D. Porter and V. Smith 2000)

Initial Cash/Asset Ratio and Stock Prices: An Experimental Study (1998)
 

 

Mathematical Economics and Finance

Parameter Optimization for Differential Eqautions in Asset Price Forecasting (with A. Duran 2008)

Overreaction Diamonds: Precursors and Aftershocks for Significant Price Changes (with A. Duran 2007)

Asset Price Dynamics with Heterogeneous Groups (with H. Merdan 2007)

The Dynamics of Trader Motivation in Asset Bubbles (with V. Ilieva 2005)

Derivation of Asset Price Equations Through Statistical Inference (with V. Ilieva, D. Porter, and V. Smith 2003)

Asset Flow and Momentum: Deterministic and Stochastic Equations (with D. Balenovich 1999)

The Predictive Power of Price Patterns (with Henry Laurent 1998)

Trend Based Asset Flow in Technical Analysis (with D. Balenovich 1996)

Statistical Inference and Modeling of Momentum in Stock Prices (with G. Constantine 1995)

A Theoretical Foundation for Technical Analysis (with D. Balenovich 1995)

Market Oscillations Induced by the Competition Between Value-Based and Trend-Based Investment Strategies (with D. Balenovich 1994)



Editorials For Journal of Behavioral Finance

Editorial "The Foundations of Experimental Economics and Applications to Behavioral Finance: The Contributions of Nobel Laureate Vernon Smith" (with K. McCabe, D. Porter 2003)

 

Editorial "Does the Market Have a Mind of Its Own, and Does It Get Carried Away with Excess Cash?" (2002)

 

Editorial "The Real Year 2000 Problem: Investor Psychology" (2001)

 

Large Scale Computations Using the Phase Field Equations

Velocity Selection in 3D Dendrites: Phase Field Computations and Microgravity Experiments (with Y. B. Altundas 2005)

Computations of Dendrites in 3-D and Comparison with Microgravity Experiments (with Y.B. Altundas 2003)

Phase Field Computations of Single-Needle Crystals, Crystal Growth and Motion by Mean Curvature (with E. A. Socolovsky 1994)

Efficient Computation of a Sharp Interface by Spreading via Phase Field Methods (with E. A. Socolovsky 1989)
 

 

 

Phase Field Alloys
 An Analysis of Phase Field Alloys and Transition Regions (with W. Xie 1998)

A Derivation and Analysis of Phase Field Models of Thermal Alloys (with J. Jones 1995)

Phase Field and Sharp Interface Alloy Models (with W. Xie 1993)

 


 Phase Field Model and Sharp Interface Limits

Numerical Tests of a Phase Field Model with Second Order Accuracy(with X. Chen and C. Eck 2008)

A Rapidly Converging Phase Field Model (with X. Chen and C. Eck 2006)

Rapidly Converging Phase Field Models via Second Order Asymptotic (with C. Eck 2005)

Convergence of Phase Field Model to Its Sharp Interface Limits (with X. Chen 1998)

Stefan and Hele-Shaw Type Models as Asymptotic Limits of the Phase Field Equations (1989)

 

Older Phase Field Papers


A Derivation of a Phase Field Model with Fluid Properties (with J. Jones 1991)

A Conserved Phase Field System; Implications for Kinetic Undercooling (1988)

Dynamics of Layered Interfaces arising from Phase Boundaries (with P. C. Fife 1988)

Phase Field Methods for Inter-facial Boundaries (with P. C. Fife 1986)

The Role of Microscopic Anisotropy in the Macroscopic Behavior of a Phase Boundary (1986)

An analysis of a Phase Field Model of a Free Boundary [submitted 1983, published 1986; Earlier version was Carnegie-Mellon Math Department Research Report 82-5 (1982)]

 

 

 

Renormalization and Multiscaling Applied to Decay, Blow-up and Extinction

SIAM Tutorial:Renormalization and Scaling in Applied Mathematics (2004)

Renormalization Group Methods for Nonlinear Parabolic Equations (with H. Merdan 2003)

Decay of Solutions to Nonlinear Parabolic Equations: Renormalization and Rigorous Results (with H. Merdan 2003)

A Renormalization Group Approach to Blow-up and Extinction Exponents (2001)

Renormalization and Scaling Methods for Nonlinear Parabolic Systems (1997)

A Renormalization Group Calculation of Anomalous Exponents for Nonlinear Diffusion (1996)

 

Renormalization and Multiscaling Applied to Interfaces 

Renormalization and Scaling Methods for Quasi-Static Interface Problems (with H. Merdan 2005)

The Transition Between Quasi-Static and Fully Dynamic for Interfaces (with H. Merdan 2004)

Renormalization Group Calculation of Late Stage Interface Dynamics (2001)

Dynamical Renormalization Group Calculation of a Two-Phase Sharp Interface Model (1999)



 Link to Journal of Behavioral Finance (formerly Journal of Psychology and Financial Markets)

http://www.journalofbehavioralfinance.org


Link for papers posted on Social Sciences Research Network

http://ssrn.com/author=328612
 

Other Research Links

International Foundation for Experimental Economics

Interdisciplinary Center for Economic Science at George Mason University

Last updated February 25, 2009