College of Science and Engineering
Department of Mathematical Sciences
Research Organization of Social Science (BKC) /
Research Center for Finance
Graduate School of Science and Engineering
PhD (07/1992 Purdue University)
■Research activities (Even top three results are displayed. In View details, all results for public presentation are displayed.)
Jump SDEs and the Study of Their Densities Kohatsu-Higa, Arturo, Takeuchi, Atsushi Springer 1-346 07/2019 978-981-329-741-8
Statistical Inference and Malliavin Calculus J.M. Corcuera and A. Kohatsu-Higa. Seminar on Stochastic Analysis, Random Fields and Applications VI 2011
Stochastic Analysis With Financial Applications Hong Kong 2009 A. Kohatsu-Higa and N. Privault and S.Sheu. Springer-Verlag 438 04/2011 978-3-0348-0096-9
Large time asymptotic properties of the stochastic heat equation Arturo Kohatsu-Higa and David Nualart Journal of Theoretical Probability To appear 2020
Second order probabilistic parametrix method for unbiased simulation of stochastic differential equations Patrik Andersson, Arturo Kohatsu-Higa and Tomooki Yuasa Stochastic Processes and their Applications To appear 2020
Integration by parts formula for killed processes: a point of view of
approximation theory Noufel Frikha, Arturo Kohatsu-Higa, Libo Li Electronical Journal of Probability 24/ 95, 1-44 09/2019
Perspectives on Statistical Methods for Time Dependent Processes (Session organizer) ISI-WSC 2019 08/21/2019
Integration by parts formula for stopped processes: An unbiased formula Workshop on Stochastic Analysis and Applications 06/04/2019
Sensitivity analysis: some irregular examples Seminario: Data Lab 04/23/2019
Grants-in-Aid for Scientific Research (KAKENHI)
Link to Grants-in-Aid for Scientific Research -KAKENHI-
■Teaching experience (Even top three results are displayed. In View details, all results for public presentation are displayed.)
2015 年度確率論ヤングサマーセミナー 08/2015-08/2015
Stochastic Differential equations with irregular coefficients 04/2014-06/2014
Simulation of Levy Driven Stochastic
Differential Equations by, Bernoulli special semester course, EPFL,
■Message from researcher
Mathematical aspects of Simulation of Stochastic Systems
My research interests are centered on various applied and theoretical aspects of simulation for stochastic systems which evolve with time.
In particular, stochastic equations of different types. These equations may have various applications in finance, engineering and physics. One of the challenges consists in studying their theoretical properties and obtaining eficcient simulation methods.
Therefore students working with me may do theoretical studies related with these problems or either simulation studies which have a strong mathematically oriented theoretical basis. We sometimes also try to test newly proposed simulation methods and find some theoretical basis to explain their behavior. The goal is to obtain fast and accurate methods that can be used in various practical problems and therefore there is a strive to achieve some generality over particularity.
Usually, students working on simulations will be proficient in C programming or other similar languages such as scilab or octave. On the theoretical side, we request basic knowledge and interest in either probability theory, stochastic process or Monte Carlo methods.
Our students, usually interact with the group of mathematical finance where they can also experience the direct feeling of applications to real problems. Therefore our group is very active, we encourage discussions between students, visitors and professors. We have frequent seminars, many times given by visitors from various countries and backgrounds therefore achieving a high scientific interaction which promotes learning and the spread of information.
We also encourage communication in foreign languages due to the multi-culturality of our group.
Arturo Kohatsu-Higa's webpage