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Cvitanić has co-authored some fundamental papers on financial markets with portfolio constraints, transaction costs, and other market imperfections. He is the author of over fifty articles in academic finance, economics and mathematics journals,, a co-author, with Fernando Zapatero, of the textbook Introduction to the Economics and Mathematics of Financial Markets, and, with Jianfeng Zhang, of the monograph Contract Theory in Continuous-time Models. He is a co-editor of Finance and Stochastics, Mathematical Finance and Mathematics and Financial Economics.