Robert Dalang promovierte an der Ecole Polytechnique Federale de Lausanne (EPFL) im Jahr 1987. Danach wirkte er fur drei Jahre als Assistenzprofessor an der University of California at Berkeley und anschliessend an der Tufts University. Im Jahr 1995 wurde er auf eine Wahrscheinlichkeitsprofessur an der EPFL berufen. Seine Forschungsinteressen liegen im Bereich der stochastischen Prozesse, insbesondere bei stochastischen partiellen Differentialgleichungen sowie der stochastischen Optimierung und Kontrolle.

We characterize those vector-valued stochastic processes (with a finite index set and defined on an arbitrarystochasic base) which can become a martingale under an equivalent change of measure.This question is important in a widely studied problem which arises in the theory of finite period securities markets with one riskless bond and a finite number of risky stocks. In this setting, our characterization gives a criterion for recognizing when a securities market model allows for no arbitrage opportunities (free lunches). Intuitively, this can be interpreted as saying if one cannot win betting on a process, then it must be a martingale under an equivalent measure, and provides a converse to the classical notion that one cannot win betting on a martingale.

Given a stopping point in the plane, is there an optional increasing path that passes through the stopping point with probability one? The commutation Hypothesis F4 of Cairoli and Walsh was known to be a sufficient condition in continuous time, and we prove that the conditional qualitative independence Hypothesis CQI of Krengel and Sucheston is in fact necessary and sufficient. Rather surprisingly, certain stopping points may lie on a unique optional increasing path, even when the two-parameter nitration is the natural filtration ot a Rrownian sheet. In the construction of these examples, we prove a result of independent interest, namely that the solutions to certain random differentia! equations are optional increasing paths

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