Robert Dalang
EPFL SB MATH PROB
MA B2 493 (Bâtiment MA)
Station 8
1015 Lausanne
+41 21 693 25 51
+41 21 693 11 80
Office: MA B2 493
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Elected committee for the Pension fund PUBLICA
Awards
Fellow of the Institute of Mathematical Statistics
Robert Dalang was nominated for his “pioneering contributions to the study of SPDEs driven by a Gaussian noise which is white in time with a spatially homogeneous covariance.â€
2019
Sample Path Regularity of Non-autonomous Uniformly Parabolic Spdes
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. 2025. DOI : 10.1007/s40072-025-00366-z.Hitting with Probability One for Stochastic Heat Equations with Additive Noise
Journal Of Theoretical Probability. 2024. DOI : 10.1007/s10959-024-01342-4.Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs
Bernoulli. 2023. DOI : 10.3150/22-BEJ1521.Localization errors of the stochastic heat equation
Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-7742.Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet
Dissertationes Mathematicae. 2021. DOI : 10.4064/dm811-9-2021.Polarity Of Almost All Points For Systems Of Nonlinear Stochastic Heat Equations In The Critical Dimension
Annals Of Probability. 2021. DOI : 10.1214/21-AOP1516.Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations
Stochastic Processes And Their Applications. 2021. DOI : 10.1016/j.spa.2020.07.015.Multiple points of Gaussian random fields
Electronic Journal Of Probability. 2021. DOI : 10.1214/21-EJP589.On the density of the supremum of the solution to the linear stochastic heat equation
Stochastics And Partial Differential Equations-Analysis And Computations. 2020. DOI : 10.1007/s40072-019-00151-9.Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension k >= 1
Electronic Journal Of Probability. 2020. DOI : 10.1214/20-EJP438.Path properties of the solution to the stochastic heat equation with Levy noise
Stochastics And Partial Differential Equations-Analysis And Computations. 2019. DOI : 10.1007/s40072-018-0124-y.Richard V. Kadison (1925-2018) Obituary
Expositiones Mathematicae. 2019. DOI : 10.1016/j.exmath.2019.05.002.Random field solutions to linear SPDEs driven by symmetric pure jump Levy space-time white noises
Electronic Journal Of Probability. 2019. DOI : 10.1214/19-EJP317.Global Solutions To Stochastic Reaction-Diffusion Equations With Super-Linear Drift And Multiplicative Noise
Annals Of Probability. 2019. DOI : 10.1214/18-AOP1270.The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8695.Srishti Dhar Chatterji (1935-2017): In Memoriam
Expositiones Mathematicae. 2018. DOI : 10.1016/j.exmath.2018.09.005.Stochastic partial differential equations driven by Lévy white noises : generalized random processes, random field solutions and regularity
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8223.Optimal solution and asymptotic properties of a stochastic control problem arising in sailboat trajectory optimization
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8149.A Quickest Detection Problem With An Observation Cost
Annals Of Applied Probability. 2015. DOI : 10.1214/14-Aap1028.Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions
Annals Of Probability. 2015. DOI : 10.1214/14-Aop954.Multiple Points Of The Brownian Sheet In Critical Dimensions
Annals Of Probability. 2015. DOI : 10.1214/14-Aop912.Moment bounds and asymptotics for the stochastic wave equation
Stochastic Processes And Their Applications. 2015. DOI : 10.1016/j.spa.2014.11.009.Stochastic optimization of sailing trajectories in an upwind regatta
Journal Of The Operational Research Society. 2015. DOI : 10.1057/jors.2014.40.Optimal expulsion and optimal confinement of a Brownian particle with a switching cost
Stochastic Processes And Their Applications. 2014. DOI : 10.1016/j.spa.2014.07.016.Modeling an America's Cup Regatta as a Sequential Stochastic Game
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5929.Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5712.Hitting probabilities for non-linear systems of stochastic waves
2012Stochastic Control and Free Boundary Problems for Sailboat Trajectory Optimization
Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5381.Critical Brownian Sheet Does Not Have Double Points
Annals Of Probability. 2012. DOI : 10.1214/11-AOP665.Predicting The Ultimate Supremum Of A Stable Levy Process With No Negative Jumps
Annals Of Probability. 2011. DOI : 10.1214/10-AOP598.Stochastic integrals for spde's: A comparison
Expositiones Mathematicae. 2011. DOI : 10.1016/j.exmath.2010.09.005.Stochastic Optimization of Sailing Trajectories in an America's Cup Race
Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4884.Criteria for hitting probabilities with applications to systems of stochastic wave equations
Bernoulli. 2010. DOI : 10.3150/09-BEJ247.Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
Probability Theory and Related Fields. 2009. DOI : 10.1007/s00440-008-0150-1.The stochastic wave equation
A Minicourse on Stochastic Partial Differential Equations; Springer Verlag, 2009. p. 39 - 71.Intermittency properties in a hyperbolic Anderson problem
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 2009. DOI : 10.1214/08-AIHP199.Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension 3
American Mathematical Society, 2009.Proceedings of the Fifth Seminar on Stochastic Analysis, Random Fields and Applications
2008The law of the supremum of a stable Lévy process with no negative jumps
Annals of Applied Probability. 2008. DOI : 10.1214/07-AOP376.A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other P.D.E.'s
Transactions of the American Mathematical Society. 2008. DOI : 10.1090/S0002-9947-08-04351-1.The non-linear stochastic wave equation in high dimensions
Electronic Journal of Probability. 2008. DOI : 10.1214/EJP.v13-500.Introduction à la théorie des probabilités
Lausanne: Presses Polytechniques et Universitaires Romandes, 2008.The non-linear stochastic wave equation in high dimensions : existence, Hölder-continuity and Itô-Taylor expansion
Lausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4265.Hitting probabilities for systems of non-linear stochastic heat equations with additive noise
ALEA Latin American Journal of Probability and Mathematical Statistics. 2007.An optimal prediction problem in financial modelling
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3967.Une démonstration élémentaire du théorème central limite
Elemente der Mathematik. 2006. DOI : 10.4171/EM/34.Hitting properties of parabolic S.P.D.E.'s with reflection
Annals of Applied Probability. 2006. DOI : 10.1214/009117905000000792.Second-order hyperbolic S.P.D.E.'s driven by homogeneous Gaussian noise on a hyperplane
Transactions of the American Mathematical Society. 2006. DOI : 10.1090/S0002-9947-05-03740-2.Regularity of the sample paths of a class of second-order SPDE's
Journal of Functional Analysis. 2005. DOI : 10.1016/j.jfa.2004.11.015.Second-order hyperbolic S.P.D.E.'s driven by boundary noises
Seminar on Stochastic Analysis, Random Fields and Applications IV; Birkhäuser, 2004. p. 83 - 93.Proceedings of the Fourth Seminar on Stochastic Analysis, Random Fields and Applications
2004Linear algebra. Textbook, exercises and applications. (Algèbre linéaire. Aide-mémoire, exercices et applications.)
Presses Polytechniques et Universitaires Romandes, 2004.Recurrent lines in two-parameter isotropic stable Lévy sheets
Stochastic Processes and Their Applications. 2004. DOI : 10.1016/j.spa.2004.05.008.A mathematical model for 'Who wants to be a millionaire?'
Mathematical Scientist (The). 2004.The right time to sell a stock whose price is driven by Markovian noise
Annals of Applied Probability. 2004. DOI : 10.1214/105051604000000747.Potential theory for hyperbolic SPDEs
Annals of Applied Probability. 2004. DOI : 10.1214/009117904000000685.Second-order linear hyperbolic SPDEs driven by isotropic Gaussian noise on a sphere
Annals of Applied Probability. 2004. DOI : 10.1214/aop/1079021472.Non-independence of excursions of the Brownian sheet and of additive Brownian motion
Transactions of the American Mathematical Society. 2003. DOI : 10.1090/S0002-9947-02-03138-0.Level sets and excursions of the Brownian sheet
2003. C.I.M.E. Summer School, Martina Franca, Italy, July 1-8, 2001. p. 167 - 208. DOI : 10.1007/978-3-540-36259-3_5.Some non-linear S.P.D.E.'s that are second order in time
Electronic Journal of Probability. 2003. DOI : 10.1214/EJP.v8-123.Topics in spatial stochastic processes
Berlin: Springer Verlag, 2003.Time-reversal in hyperbolic S.P.D.E. 's
Annals of Applied Probability. 2002. DOI : 10.1214/aop/1020107766.Performance of quantitative versus passive investing: a comparison in global markets
The Journal of Performance Measurement. 2002.Proceedings of the Third Seminar on Stochastic Analysis, Random Fields and Applications
2002Eccentric behaviors of the Brownian sheet along lines
Annals of Applied Probability. 2002. DOI : 10.1214/aop/1020107769.Corrections to: Extending the martingale measure stochastic integral with applications to spatially homogeneous S.P.D.E. 's
Electronic Journal of Probability. 2001.Linear algebra. Textbook, exercises and applications. (Algèbre linéaire. Aide-mémoire, exercices et applications.)
Lausanne: Presses Polytechniques et Universitaires Romandes, 2001.Jordan curves in the level sets of additive Brownian motion
Transactions of the American Mathematical Society. 2001. DOI : 10.1090/S0002-9947-01-02811-2.Level sets, bubbles and excursions of a Brownian sheet
Infinite dimensional stochastic analysis (Amsterdam, 1999); R. Neth. Acad. Arts Sci., Amsterdam, 2000. p. 117 - 128.Proceedings of the Second Seminar on Stochastic Analysis, Random Fields and Applications
1999Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
Electronic Journal of Probability. 1999. DOI : 10.1214/EJP.v4-43.The stochastic wave equation in two spatial dimensions
Annals of Applied Probability. 1998. DOI : 10.1214/aop/1022855416.On Markov property of Lévy waves in two dimensions
Stochastic Processes and Their Applications. 1997. DOI : 10.1016/S0304-4149(97)00087-2.Points of increase of the Brownian sheet
Probability Theory and Related Fields. 1997. DOI : 10.1007/s004400050099.Nondifferentiability of curves on the Brownian sheet
Annals of Applied Probability. 1996. DOI : 10.1214/aop/1042644712.Sequential stochastic optimization
New York: Wiley, 1996.Points of increase of functions in the plane
Real Analysis Exchange. 1996.Local structure of level sets of the Brownian sheet
Stochastic analysis: random fields and measure-valued processes (Ramat Gan, 1993/1995); Bar-Ilan Univ., 1996. p. 57 - 64.Optimal switching between two random walks
Annals of Applied Probability. 1995. DOI : 10.1214/aop/1176987812.Optimal switching between two Brownian motions
Stochastic analysis (Ithaca, NY, 1993); American Mathematical Society, 1995. p. 53 - 63.The structure of a Brownian bubble
Probability Theory and Related Fields. 1993. DOI : 10.1007/BF01200206.Geography of the level sets of the Brownian sheet
Probability Theory and Related Fields. 1993. DOI : 10.1007/BF01192131.The sharp Markov property of the Brownian sheet and related processes
Acta Mathematica. 1992. DOI : 10.1007/BF02392978.The sharp Markov property of Lévy sheets
Annals of Applied Probability. 1992. DOI : 10.1214/aop/1176989793.Equivalent martingale measures and no-arbitrage in stochastic securities market models
Stochastics and Stochastics Reports. 1990.Randomization in the two-armed bandit problem
Annals of Applied Probability. 1990. DOI : 10.1214/aop/1176990946.Optimal stopping of two-parameter processes on nonstandard probability spaces
Transactions of the American Mathematical Society. 1989. DOI : 10.2307/2001425.On randomized stopping points and perfect graphs
Journal of Combinatorial Theory, Series B. 1988. DOI : 10.1016/0095-8956(88)90076-7.On infinite perfect graphs and randomized stopping points on the plane
Probability Theory and Related Fields. 1988. DOI : 10.1007/BF00334200.A prediction problem for the Brownian sheet
Journal of Multivariate Analysis. 1988. DOI : 10.1016/0047-259X(88)90071-1.On stopping points in the plane that lie on a unique optional increasing path
Stochastics. 1988. DOI : 10.1080/17442508808833517.Sur l'arrêt optimal de processus à temps multidimensionnel continu
Seminar on probability, XVIII; Springer, 1984. p. 379 - 390.Infoscience
Sample Path Regularity of Non-autonomous Uniformly Parabolic Spdes
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. 2025. DOI : 10.1007/s40072-025-00366-z.Hitting with Probability One for Stochastic Heat Equations with Additive Noise
Journal Of Theoretical Probability. 2024. DOI : 10.1007/s10959-024-01342-4.Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs
Bernoulli. 2023. DOI : 10.3150/22-BEJ1521.Localization errors of the stochastic heat equation
Lausanne, EPFL, 2022. DOI : 10.5075/epfl-thesis-7742.Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet
Dissertationes Mathematicae. 2021. DOI : 10.4064/dm811-9-2021.Polarity Of Almost All Points For Systems Of Nonlinear Stochastic Heat Equations In The Critical Dimension
Annals Of Probability. 2021. DOI : 10.1214/21-AOP1516.Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations
Stochastic Processes And Their Applications. 2021. DOI : 10.1016/j.spa.2020.07.015.Multiple points of Gaussian random fields
Electronic Journal Of Probability. 2021. DOI : 10.1214/21-EJP589.On the density of the supremum of the solution to the linear stochastic heat equation
Stochastics And Partial Differential Equations-Analysis And Computations. 2020. DOI : 10.1007/s40072-019-00151-9.Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension k >= 1
Electronic Journal Of Probability. 2020. DOI : 10.1214/20-EJP438.Path properties of the solution to the stochastic heat equation with Levy noise
Stochastics And Partial Differential Equations-Analysis And Computations. 2019. DOI : 10.1007/s40072-018-0124-y.Richard V. Kadison (1925-2018) Obituary
Expositiones Mathematicae. 2019. DOI : 10.1016/j.exmath.2019.05.002.Random field solutions to linear SPDEs driven by symmetric pure jump Levy space-time white noises
Electronic Journal Of Probability. 2019. DOI : 10.1214/19-EJP317.Global Solutions To Stochastic Reaction-Diffusion Equations With Super-Linear Drift And Multiplicative Noise
Annals Of Probability. 2019. DOI : 10.1214/18-AOP1270.The stochastic heat equation: hitting probabilities and the probability density function of the supremum via Malliavin calculus
Lausanne, EPFL, 2018. DOI : 10.5075/epfl-thesis-8695.Srishti Dhar Chatterji (1935-2017): In Memoriam
Expositiones Mathematicae. 2018. DOI : 10.1016/j.exmath.2018.09.005.Stochastic partial differential equations driven by Lévy white noises : generalized random processes, random field solutions and regularity
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8223.Optimal solution and asymptotic properties of a stochastic control problem arising in sailboat trajectory optimization
Lausanne, EPFL, 2017. DOI : 10.5075/epfl-thesis-8149.A Quickest Detection Problem With An Observation Cost
Annals Of Applied Probability. 2015. DOI : 10.1214/14-Aap1028.Moments And Growth Indices For The Nonlinear Stochastic Heat Equation With Rough Initial Conditions
Annals Of Probability. 2015. DOI : 10.1214/14-Aop954.Multiple Points Of The Brownian Sheet In Critical Dimensions
Annals Of Probability. 2015. DOI : 10.1214/14-Aop912.Moment bounds and asymptotics for the stochastic wave equation
Stochastic Processes And Their Applications. 2015. DOI : 10.1016/j.spa.2014.11.009.Stochastic optimization of sailing trajectories in an upwind regatta
Journal Of The Operational Research Society. 2015. DOI : 10.1057/jors.2014.40.Optimal expulsion and optimal confinement of a Brownian particle with a switching cost
Stochastic Processes And Their Applications. 2014. DOI : 10.1016/j.spa.2014.07.016.Modeling an America's Cup Regatta as a Sequential Stochastic Game
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5929.Moments, Intermittency, and Growth Indices for Nonlinear Stochastic PDE's with Rough Initial Conditions
Lausanne, EPFL, 2013. DOI : 10.5075/epfl-thesis-5712.Hitting probabilities for non-linear systems of stochastic waves
2012Stochastic Control and Free Boundary Problems for Sailboat Trajectory Optimization
Lausanne, EPFL, 2012. DOI : 10.5075/epfl-thesis-5381.Critical Brownian Sheet Does Not Have Double Points
Annals Of Probability. 2012. DOI : 10.1214/11-AOP665.Predicting The Ultimate Supremum Of A Stable Levy Process With No Negative Jumps
Annals Of Probability. 2011. DOI : 10.1214/10-AOP598.Stochastic integrals for spde's: A comparison
Expositiones Mathematicae. 2011. DOI : 10.1016/j.exmath.2010.09.005.Stochastic Optimization of Sailing Trajectories in an America's Cup Race
Lausanne, EPFL, 2010. DOI : 10.5075/epfl-thesis-4884.Criteria for hitting probabilities with applications to systems of stochastic wave equations
Bernoulli. 2010. DOI : 10.3150/09-BEJ247.Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
Probability Theory and Related Fields. 2009. DOI : 10.1007/s00440-008-0150-1.The stochastic wave equation
A Minicourse on Stochastic Partial Differential Equations; Springer Verlag, 2009. p. 39 - 71.Intermittency properties in a hyperbolic Anderson problem
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 2009. DOI : 10.1214/08-AIHP199.Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension 3
American Mathematical Society, 2009.Proceedings of the Fifth Seminar on Stochastic Analysis, Random Fields and Applications
2008The law of the supremum of a stable Lévy process with no negative jumps
Annals of Applied Probability. 2008. DOI : 10.1214/07-AOP376.A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other P.D.E.'s
Transactions of the American Mathematical Society. 2008. DOI : 10.1090/S0002-9947-08-04351-1.The non-linear stochastic wave equation in high dimensions
Electronic Journal of Probability. 2008. DOI : 10.1214/EJP.v13-500.Introduction à la théorie des probabilités
Lausanne: Presses Polytechniques et Universitaires Romandes, 2008.The non-linear stochastic wave equation in high dimensions : existence, Hölder-continuity and Itô-Taylor expansion
Lausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4265.Hitting probabilities for systems of non-linear stochastic heat equations with additive noise
ALEA Latin American Journal of Probability and Mathematical Statistics. 2007.An optimal prediction problem in financial modelling
Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3967.Une démonstration élémentaire du théorème central limite
Elemente der Mathematik. 2006. DOI : 10.4171/EM/34.Hitting properties of parabolic S.P.D.E.'s with reflection
Annals of Applied Probability. 2006. DOI : 10.1214/009117905000000792.Second-order hyperbolic S.P.D.E.'s driven by homogeneous Gaussian noise on a hyperplane
Transactions of the American Mathematical Society. 2006. DOI : 10.1090/S0002-9947-05-03740-2.Regularity of the sample paths of a class of second-order SPDE's
Journal of Functional Analysis. 2005. DOI : 10.1016/j.jfa.2004.11.015.Second-order hyperbolic S.P.D.E.'s driven by boundary noises
Seminar on Stochastic Analysis, Random Fields and Applications IV; Birkhäuser, 2004. p. 83 - 93.Proceedings of the Fourth Seminar on Stochastic Analysis, Random Fields and Applications
2004Linear algebra. Textbook, exercises and applications. (Algèbre linéaire. Aide-mémoire, exercices et applications.)
Presses Polytechniques et Universitaires Romandes, 2004.Recurrent lines in two-parameter isotropic stable Lévy sheets
Stochastic Processes and Their Applications. 2004. DOI : 10.1016/j.spa.2004.05.008.A mathematical model for 'Who wants to be a millionaire?'
Mathematical Scientist (The). 2004.The right time to sell a stock whose price is driven by Markovian noise
Annals of Applied Probability. 2004. DOI : 10.1214/105051604000000747.Potential theory for hyperbolic SPDEs
Annals of Applied Probability. 2004. DOI : 10.1214/009117904000000685.Second-order linear hyperbolic SPDEs driven by isotropic Gaussian noise on a sphere
Annals of Applied Probability. 2004. DOI : 10.1214/aop/1079021472.Non-independence of excursions of the Brownian sheet and of additive Brownian motion
Transactions of the American Mathematical Society. 2003. DOI : 10.1090/S0002-9947-02-03138-0.Level sets and excursions of the Brownian sheet
2003. C.I.M.E. Summer School, Martina Franca, Italy, July 1-8, 2001. p. 167 - 208. DOI : 10.1007/978-3-540-36259-3_5.Some non-linear S.P.D.E.'s that are second order in time
Electronic Journal of Probability. 2003. DOI : 10.1214/EJP.v8-123.Topics in spatial stochastic processes
Berlin: Springer Verlag, 2003.Time-reversal in hyperbolic S.P.D.E. 's
Annals of Applied Probability. 2002. DOI : 10.1214/aop/1020107766.Performance of quantitative versus passive investing: a comparison in global markets
The Journal of Performance Measurement. 2002.Proceedings of the Third Seminar on Stochastic Analysis, Random Fields and Applications
2002Eccentric behaviors of the Brownian sheet along lines
Annals of Applied Probability. 2002. DOI : 10.1214/aop/1020107769.Corrections to: Extending the martingale measure stochastic integral with applications to spatially homogeneous S.P.D.E. 's
Electronic Journal of Probability. 2001.Linear algebra. Textbook, exercises and applications. (Algèbre linéaire. Aide-mémoire, exercices et applications.)
Lausanne: Presses Polytechniques et Universitaires Romandes, 2001.Jordan curves in the level sets of additive Brownian motion
Transactions of the American Mathematical Society. 2001. DOI : 10.1090/S0002-9947-01-02811-2.Level sets, bubbles and excursions of a Brownian sheet
Infinite dimensional stochastic analysis (Amsterdam, 1999); R. Neth. Acad. Arts Sci., Amsterdam, 2000. p. 117 - 128.Proceedings of the Second Seminar on Stochastic Analysis, Random Fields and Applications
1999Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
Electronic Journal of Probability. 1999. DOI : 10.1214/EJP.v4-43.The stochastic wave equation in two spatial dimensions
Annals of Applied Probability. 1998. DOI : 10.1214/aop/1022855416.On Markov property of Lévy waves in two dimensions
Stochastic Processes and Their Applications. 1997. DOI : 10.1016/S0304-4149(97)00087-2.Points of increase of the Brownian sheet
Probability Theory and Related Fields. 1997. DOI : 10.1007/s004400050099.Nondifferentiability of curves on the Brownian sheet
Annals of Applied Probability. 1996. DOI : 10.1214/aop/1042644712.Sequential stochastic optimization
New York: Wiley, 1996.Points of increase of functions in the plane
Real Analysis Exchange. 1996.Local structure of level sets of the Brownian sheet
Stochastic analysis: random fields and measure-valued processes (Ramat Gan, 1993/1995); Bar-Ilan Univ., 1996. p. 57 - 64.Optimal switching between two random walks
Annals of Applied Probability. 1995. DOI : 10.1214/aop/1176987812.Optimal switching between two Brownian motions
Stochastic analysis (Ithaca, NY, 1993); American Mathematical Society, 1995. p. 53 - 63.The structure of a Brownian bubble
Probability Theory and Related Fields. 1993. DOI : 10.1007/BF01200206.Geography of the level sets of the Brownian sheet
Probability Theory and Related Fields. 1993. DOI : 10.1007/BF01192131.The sharp Markov property of the Brownian sheet and related processes
Acta Mathematica. 1992. DOI : 10.1007/BF02392978.The sharp Markov property of Lévy sheets
Annals of Applied Probability. 1992. DOI : 10.1214/aop/1176989793.Equivalent martingale measures and no-arbitrage in stochastic securities market models
Stochastics and Stochastics Reports. 1990.Randomization in the two-armed bandit problem
Annals of Applied Probability. 1990. DOI : 10.1214/aop/1176990946.Optimal stopping of two-parameter processes on nonstandard probability spaces
Transactions of the American Mathematical Society. 1989. DOI : 10.2307/2001425.On randomized stopping points and perfect graphs
Journal of Combinatorial Theory, Series B. 1988. DOI : 10.1016/0095-8956(88)90076-7.On infinite perfect graphs and randomized stopping points on the plane
Probability Theory and Related Fields. 1988. DOI : 10.1007/BF00334200.A prediction problem for the Brownian sheet
Journal of Multivariate Analysis. 1988. DOI : 10.1016/0047-259X(88)90071-1.On stopping points in the plane that lie on a unique optional increasing path
Stochastics. 1988. DOI : 10.1080/17442508808833517.Sur l'arrêt optimal de processus à temps multidimensionnel continu
Seminar on probability, XVIII; Springer, 1984. p. 379 - 390.Teaching & PhD
Past Phd As Director
Adriana Climescu-Haulica, Olivier Lévêque, Yannick Zufferey, Eulalia Nualart Dexeus, Violetta Bernyk, Daniel Conus, Frédéric Dumas, Laura Vinckenbosch, Jean-Benoît Rossel, Le Chen, Thomas Humeau, Carlo Ciccarella, Fei Pu, David Jean-Michel Candil
Courses
Analysis III (for SV, MT)
MATH-203(a)
The course studies the fundamental concepts of vector analysis and Fourier-Laplace analysis with a view to their use in other courses and for solving multidisciplinary problems in science and engineering.
Analysis IV (for SV, MT)
MATH-207(a)
This course is an introduction to the theory of Fourier series, Fourier transforms (including for tempered distributions) and Laplace transforms, and to their use in the resolution of ordinary differential equations and partial differential equations.
Theory of stochastic calculus
MATH-431
Introduction to the mathematical theory of stochastic calculus: construction of the Ito stochastic integral, proof of the Ito formula, introduction to stochastic differential equations, Girsanov's theorem and the Feynman-Kac formula, the martingale representation theorem.