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Bernt Øksendal

Professor - Matematikk
Bilde av Bernt Øksendal
English
E-post bernt.oksendal@cma.uio.no
Telefon +47-22855913
Faks +47-22854349
Rom 1021
Brukernavn
Besøksadresse Niels Henrik Abels hus Moltke Moes vei 35 0851 OSLO
Postadresse Postboks 1053 Blindern 0316 OSLO
Emneord: Matematikk, Stokastisk analyse/Finans - forsikring og risiko, Centre of Mathematics for Applications - CMA

Publikasjoner

  • Agram, Nacira & Øksendal, Bernt (2013). Infinite horizon optimal control of forward-backward stochastic differential equations with delay. Prepint Series - Pure Mathematics.  ISSN 0806-2439.
  • Haadem, Sven; Øksendal, Bernt & Proske, Frank Norbert (2013). Maximum principles for jump diffusion processes with infinite horizon. Automatica.  ISSN 0005-1098.
  • Øksendal, Bernt & Sulem, Agnès (2013). A stochastic control approach to robust duality in utility maximization. Prepint Series - Pure Mathematics.  ISSN 0806-2439.
  • Aase, Knut; Bjuland, Terje & Øksendal, Bernt (2012). Partially informed noise traders. Mathematics and Financial Economics.  ISSN 1862-9679.  6(2), s 93- 104 . doi: 10.1007/s11579-012-0075-4
  • Aase, Knut; Bjuland, Terje & Øksendal, Bernt (2012). Strategic insider trading equilibrium: A filter theory approach. Afrika Matematika.  ISSN 1012-9405.  23, s 145- 162 . doi: 10.1007/s13370-011-0026-x
  • Agram, Nacira; Haadem, Sven; Øksendal, Bernt & Proske, Frank Norbert (2012). A MAXIMUM PRINCIPLE FOR INFINITE HORIZON DELAY EQUATIONS. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  4
  • Haadem, Sven; Øksendal, Bernt & Proske, Frank Norbert (2012). Maximum principles for jump diffusion processes with infinite horizon. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  April(3)
  • Meyer-Brandis, Thilo; Hu, Yaozhong; Øksendal, Bernt & Biagini, Francesca (2012). Insider trading equilibrium in a market with memory. Mathematics and Financial Economics.  ISSN 1862-9679.  6, s 229- 247
  • Meyer-Brandis, Thilo; Øksendal, Bernt & Zhou, Xunyu (2012). A mean-field stochastic maximum principle via Malliavin calculus. Stochastics: An International Journal of Probablitiy and Stochastic Processes.  ISSN 1744-2508.  84, s 643- 666
  • Øksendal, Bernt & Sulem, Agnès (2012). Forward-Backward Stochastic Differential Games and Stochastic Control under Model Uncertainty. Journal of Optimization Theory and Applications.  ISSN 0022-3239. . doi: 10.1007/s10957-012-0166-7
  • Øksendal, Bernt & Sulem, Agnes (2012). Singular stochastic control and optimal stopping with partial information of itô-lévy processes. SIAM Journal of Control and Optimization.  ISSN 0363-0129.  50(4), s 2254- 2287 . doi: 10.1137/100793931
  • Øksendal, Bernt; Sulem, Agnès & Zhang, Tusheng (2012). Optimal partial information control of SPDEs with delay and time-advanced backward SPDEs, In Tusheng Zhang & Xunyu Zhou (ed.),  Stochastic Analysis and Applications to Finance.  World Scientific.  ISBN 978-981-4383-57-8.  Artikkel.
  • Øksendal, Bernt & Ta, An Thi Kieu (2012). A maximum principle for stochastic differential games with g-expectations and partial information. Stochastics: An International Journal of Probablitiy and Stochastic Processes.  ISSN 1744-2508.  84(2-3), s 137- 155 . doi: 10.1080/17442508.2010.532875
  • Øksendal, Bernt & Zhang, Tusheng (2012). Backward stochastic differential equations with respect to general filtrations and applications to insider finance. Communications on Stochastic Analysis.  ISSN 0973-9599.  6(4), s 703- 722
  • Aase, Knut Kristian; Bjuland, Terje & Øksendal, Bernt (2011). An anticipative linear filtering equation. Systems & control letters.  ISSN 0167-6911.  60(7), s 468- 471 . doi: 10.1016/j.sysconle.2011.04.001
  • Aase, Knut Kristian; Bjuland, Terje & Øksendal, Bernt (2011). Insider trading with partially informed traders. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  (16)
  • Baghery, Fouzia; Haadem, Sven; Turpin, Isabella & Øksendal, Bernt (2011). Optimal stopping and stochastic control differential games for jump diffusions. Stochastics: An International Journal of Probablitiy and Stochastic Processes.  ISSN 1744-2508. . doi: 10.1080/17442508.2011.652116
  • Di Nunno, Giulia; Pamen, Olivier Menoukeu; Øksendal, Bernt & Proske, Frank Norbert (2011). A general maximum principle for anticipative stochastic control and applications to insider trading, In Giulia Di Nunno & Bernt Øksendal (ed.),  Advanced Mathematical Methods for Finance.  Springer.  ISBN 978-3-642-18411-6.  Chapter.  s 181 - 221
  • Di Nunno, Giulia; Øksendal, Bernt; Menoukeu Pamen, Olivier & Proske, Frank Norbert (2011). Uniqueness of Decompositions of Skorohod-Semimartingales. Infinite Dimensional Analysis Quantum Probability and Related Topics.  ISSN 0219-0257.  14(1), s 15- 24 . doi: 10.1142/S0219025711004274
  • Federico, Salvatore & Øksendal, Bernt (2011). Optimal stopping of stochastic differential equations with delay driven by Lévy noise. Potential Analysis.  ISSN 0926-2601.  34(2), s 181- 198 . doi: 10.1007/s11118-010-9187-8
  • Øksendal, Bernt; Aase, Knut & Bjuland, Terje (2011). Strategic insider trading equilibrium: A filter theory approach. Afrika Matematika.  ISSN 1012-9405. . doi: 10.1007/s13370-011-0026-x
  • Øksendal, Bernt; Sandal, Leif Kristoffer & Ubøe, Jan (2011). Stochastic Stackelberg equilibria with applications to time dependent newsvendor models. Prepint Series - Pure Mathematics.  ISSN 0806-2439.
  • Øksendal, Bernt & Sulem, Agnès (2011). Portfolio optimization under model uncertainty and BSDE games. Quantitative finance (Print).  ISSN 1469-7688.  11(11), s 1665- 1674 . doi: 10.1080/14697688.2011.615219
  • Øksendal, Bernt & Sulem, Agnès (2011). Robust stochastic control and equivalent martingale measures, In Arturo Kohatsu-Higa; Nicolas Privault & Shuenn-Jyi Sheu (ed.),  Stochastic Analysis with Financial Applications Hong Kong 2009.  Springer.  ISBN 978-3-0348-0096-9.  part 1 - Bidrag til Vol.65 i serien "Progress in Probability".  s 179 - 189
  • Øksendal, Bernt; Sulem, Agnes & Zhang, Tusheng (2011). OPTIMAL CONTROL OF STOCHASTIC DELAY EQUATIONS AND TIME-ADVANCED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS. Advances in Applied Probability.  ISSN 0001-8678.  43(2), s 572- 596
  • Øksendal, Bernt; Sulem, Agnès & Zhang, Tusheng (2011). Optimal partial information control of SPDEs with delay and time-advanced backward SPDEs. Prepint Series - Pure Mathematics.  ISSN 0806-2439.
  • Øksendal, Bernt; Sulem, Agnès & Zhang, Tusheng (2011). Singular control of SPDEs and backward SPDEs with reflection. Prepint Series - Pure Mathematics.  ISSN 0806-2439.
  • Corcuera, José Manuel; Di Nunno, Giulia; Farkas, Gergely & Øksendal, Bernt (2010). Kyle-Back's model with Lévy noise. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  26
  • Øksendal, Bernt & Sulem, Agnès (2010). An anticipative stochastic calculus approach to pricing in markets driven by Lévy processes. Communications on Stochastic Analysis.  ISSN 0973-9599.  4(2), s 179- 199
  • Øksendal, Bernt & Sulem, Agnès (2010). Singular stochastic control and optimal stopping with partial information of Itô-Lévy processes. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  (9)
  • Øksendal, Bernt & Zhang, Tusheng (2010). Optimal control with partial information for stochastic Volterra equations. International Journal of Stochastic Analysis.  ISSN 2090-3332.  2010 . doi: 10.1155/2010/329185
  • Di Nunno, Giulia & Øksendal, Bernt (2009). Optimal portfolio, partial information and Malliavin calculus. Stochastics: An International Journal of Probablitiy and Stochastic Processes.  ISSN 1744-2508.  81(3-4), s 303- 322 . doi: 10.1080/17442500902917979
  • Di Nunno, Giulia; Øksendal, Bernt; Pamen, Olivier Menoukeu & Proske, Frank Norbert (2009). A general maximum principle for anticipative stochastic control and applications to insider trading. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  (21)
  • Di Nunno, Giulia; Øksendal, Bernt; Pamen, Olivier Menoukeu & Proske, Frank Norbert (2009). Uniqueness of Decompositions of Skorohod-Semimartingales. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  (10)
  • Di Nunno, Giulia; Øksendal, Bernt; Pamen, Olivier Menoukeu & Proske, Frank Norbert (2009). Uniqueness of Decompositions of Skorohod-Semimartingales. Prepint Series - Pure Mathematics.  ISSN 0806-2439.  (10)
  • Øksendal, Bernt & Sulem, Agnès (2009). MAXIMUM PRINCIPLES FOR OPTIMAL CONTROL OF FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS WITH JUMPS. SIAM Journal of Control and Optimization.  ISSN 0363-0129.  48(5), s 2945- 2976
  • Øksendal, Bernt & Sulem, Agnès (2009). Maximum principles for optimal control of forward-backward stochastic differential equations with jumps. SIAM Journal of Control and Optimization.  ISSN 0363-0129.  48(5), s 2945- 2976 . doi: 10.1137/080739781
  • Øksendal, Bernt & Sulem, Agnès (2009). RISK INDIFFERENCE PRICING IN JUMP DIFFUSION MARKETS. Mathematical Finance.  ISSN 0960-1627.  19(4), s 619- 637
  • Ta, An Thi Kieu & Øksendal, Bernt (2008). Maximum Principle for Stochastic Differential Games with Partial Information. Journal of Optimization Theory and Applications.  ISSN 0022-3239.  139(3), s 463- 483 . doi: 10.1007/s10957-008-9398-y
  • An, TTK; Øksendal, Bernt & Proske, Frank (2008). A Maximum Principle Approach to Risk Indifference Pricing with Partial Information . Journal of Applied Mathematics and Stochastic Analysis.  ISSN 1048-9533.  2008(3), s 1- 15
  • Biagini, F & Øksendal, Bernt (2008). Forward integrals and an Ito formula for fractional Brownian motion. Infinite Dimensional Analysis Quantum Probability and Related Topics.  ISSN 0219-0257.  11, s 157- 177
  • Biagini, Francesca & Øksendal, Bernt (2008). Forward integrals and an Ito formula for fractional Brownian motion. Infinite Dimensional Analysis Quantum Probability and Related Topics.  ISSN 0219-0257.  11(2), s 157- 177
  • Di Nunno, Giulia; Kohatsu-Higa, Arturo; Meyer-Brandis, Thilo; Øksendal, Bernt; Proske, Frank Norbert & Sulem, Agnès (2008). Anticipative stochastic control for Lévy processes with application to insider trading, In Alain Bensoussan; Zhang Qiang & Philippe G Ciarlet (ed.),  MATHEMATICAL MODELLING AND NUMERICAL METHODS IN FINANCE.  Elsevier.  ISBN 978-0-444-51879-8.  15.
  • Di Nunno, Giulia; Kohatsu-Higa, Arturo; Meyer-Brandis, Thilo; Øksendal, Bernt; Proske, Frank & Sulem, Agnès (2008). Anticipative stochastic control for Lévy processes with application to insider trading, In  Handbook of numerical analysis 15: Mathematical Modelling and Numerical Methods in Finance..  Elsevier.
  • Hu, Yaozhong & Øksendal, Bernt (2008). Optimal stopping with advanced information flow: Selected examples. Banach Center Publications.  ISSN 0137-6934.  83, s 107- 116
  • Hu, Yaozhong & Øksendal, Bernt (2008). Optimal stopping with advanced information flow: Selected examples. Banach Center Publications.  ISSN 0137-6934.  83, s 107- 116
  • Hu, Yaozhong & Øksendal, Bernt (2008). Partial information linear quadratic control for jump diffusions. SIAM Journal of Control and Optimization.  ISSN 0363-0129.  47, s 1744- 1761 . doi: 10.1137/060667566
  • Mataramvura, Sure & Øksendal, Bernt (2008). Risk minimizing portfolios and HJBI equations for stochastic differential games. Stochastics and Stochastics Reports.  ISSN 1045-1129.  80, s 317- 337 . doi: 10.1080/17442500701655408
  • Mataramvura, Sure & Øksendal, Bernt (2008). Risk minimizing portfolios and HJBI equations for stochastic differential games. Stochastics and Stochastics Reports.  ISSN 1045-1129.  80(4), s 317- 337
  • Øksendal, Bernt (2008). Stochastic partial differential equations driven by multiparameter white noise of Lévy processes. Quarterly of Applied Mathematics.  ISSN 0033-569X.  66, s 521- 537
  • Øksendal, Bernt (2008). Stochastic partial differential equations driven by multi-parameter white noise of Lévy processes. Quarterly of Applied Mathematics.  ISSN 0033-569X.  66(3), s 521- 537
  • Øksendal, Bernt & An, TTK (2008). Maximum Principle for Stochastic Differential Games with Partial Information. Journal of Optimization Theory and Applications.  ISSN 0022-3239.  139(3), s 463- 483
  • Øksendal, Bernt & Hu, Yaozhong (2008). Partial information linear quadratic control for jump diffusions. SIAM Journal of Control and Optimization.  ISSN 0363-0129.  47(4), s 1744- 1761
  • Øksendal, Bernt; Proske, Frank Norbert & Ta, An Thi Kieu (2008). A Maximum Principle Approach to Risk Indifference Pricing with Partial Information. Journal of Applied Mathematics and Stochastic Analysis.  ISSN 1048-9533.  2008(3) . doi: 10.1155/2008/821243
  • Øksendal, Bernt & Sulem, A (2008). Optimal stochastic impulse control with delayed reaction. Applied mathematics and optimization.  ISSN 0095-4616.  58, s 243- 255 . doi: 10.1007/s00245-007-9034-5
  • Øksendal, Bernt & Sulem, Agnès (2008). A game theoretic approach to martingale measures in incomplete markets. Surveys of Applied and Industrial Mathematics.  ISSN 0869-8325.  15, s 18- 24
  • Øksendal, Bernt & Sulem, Agnès (2008). Optimal stochastic impulse control with delayed reaction. Applied mathematics and optimization.  ISSN 0095-4616.  58(2), s 243- 255
  • Baghery, F & Øksendal, Bernt (2007). A maximum principle for stochastic control with partial information. Stochastic Analysis and Applications.  ISSN 0736-2994.  25, s 705- 717 . doi: 10.1080/07362990701283128
  • Baghery-Kabbaj, Fouzia & Øksendal, Bernt (2007). A maximum principle for stochastic control with partial information. Stochastic Analysis and Applications.  ISSN 0736-2994.  25(3), s 705- 717
  • Brekke, Kjell Arne; Øksendal, Bernt & Stenseth, Nils Christian (2007). The effect of climate variations on the dynamics of pasture-livestock interactions under cooperative and noncooperative management. Proceedings of the National Academy of Science of the United States of America.  ISSN 0027-8424.  104, s 14730- 14734 . doi: 10.1073/pnas.0706553104
  • Brekke, Kjell Arne; Øksendal, Bernt & Stenseth, Nils Christian (2007). The effect of climate variations on the dynamics of pasture-livestock interactions under cooperative and noncooperative management. Proceedings of the National Academy of Science of the United States of America.  ISSN 0027-8424.  104(37), s 14730- 14734
  • Di Nunno, Giulia & Øksendal, Bernt (2007). A representation theorem and a sensitivity result for functionals of jump diffusions, In Ana Bela Cruzeiro; Habib Ouerdiane & Nobuaki Obata (ed.),  Mathematical Analysis of Random Phenomena.  World Scientific.  ISBN 9789812706034.  Kapittel.  s 177 - 190
  • Di Nunno, Giulia & Øksendal, Bernt (ed.) (2011). Advanced Mathematical Methods for Finance. Springer.  ISBN 978-3-642-18411-6.  536 s.
  • Di Nunno, Giulia & Øksendal, Bernt (ed.) (2011). Advanced Mathematical Methods for Finance. Springer.  ISBN 978-3-642-18411-6.  536 s.
  • Holden, Helge; Øksendal, Bernt; Ubøe, Jan & Zhang, Tusheng (2010). Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach. Springer Science+Business Media B.V..  ISBN 978-0-387-89487-4.  305 s.
  • Holden, Helge; Øksendal, Bernt; Ubøe, Jan & Zhang, Tusheng (2009). Stochastic Partial Differential Equations. Springer.  ISBN 978-0-387-89487-4.  305 s.
  • Di Nunno, Giulia; Øksendal, Bernt & Proske, Frank (2009). Malliavin Calculus for Lévy Processes with Applications to Finance. Springer.  ISBN 9783540785712.  418 s.
  • Di Nunno, Giulia; Øksendal, Bernt & Proske, Frank Norbert (2009). Malliavin Calculus for Lévy Processes and Applications to Finance. Springer.  ISBN 978-3-540-78571-2.  413 s.
  • Biagini, Francesca; Hu, Yaozhong; Øksendal, Bernt & Zhang, Tusheng (2008). Stochastic Calculus for Fractional Brownian Motion and Applications. Springer.  ISBN 978-1-85233-996-8.  329 s.
  • Biagini, Francesca; Hu, Yaozhong; Øksendal, Bernt & Zhang, Tusheng (2008). Stochastic Calculus for Fractional Brownian Motion and Applications. Springer.  ISBN 9781852339968.  332 s.
  • Benth, Fred Espen; Di Nunno, Giulia; Lindstrøm, Tom; Øksendal, Bernt & Zhang, Tusheng (ed.) (2007). Stochastic Analysis and Applications The Abel Symposium 2005 Proceedings of the Second Abel Symposium, Oslo, July 29 - August 4, 2005, held in honor of Kiyosi Itô. Springer.  ISBN 9783540708469.  678 s.
  • Aase, Knut; Bjuland, Terje & Øksendal, Bernt (2011). Insider trading with partially informed traders .
  • Biagini, Francesca; Meyer-Brandis, Thilo; Hu, Yaozhong & Øksendal, Bernt (2011). Insider trading equilibrium in a market with memory.
  • Øksendal, Bernt (2011). Mathematics and Finance: The Black-Scholes Option Pricing Formula and Beyond.
  • Øksendal, Bernt; Sandal, Leif Kristoffer & Ubøe, Jan (2011). Stochastic Stackelberg equilibria with applications to time dependent newsvendor models .
  • Øksendal, Bernt & Sulem, Agnès (2011). Forward-backward SDE games and stochastic control under model uncertainty.
  • Øksendal, Bernt & Sulem, Agnès (2011). Portfolio optimization under model uncertainty and BSDE games.
  • Øksendal, Bernt; Sulem, Agnès & Zhang, Tusheng (2011). Optimal partial information control of SPDEs with delay and time-advanced backward SPDEs.
  • Øksendal, Bernt; Sulem, Agnès & Zhang, Tusheng (2011). Singular control of SPDEs and backward SPDEs with reflection.
  • Aase, Knut K.; Bjuland, Terje & Øksendal, Bernt (2010). An anticipative linear filtering equation .
  • Aase, Knut K.; Bjuland, Terje & Øksendal, Bernt (2010). Strategic Insider Trading Equilibrium: A Filter Theory Approach .
  • Aase, Knut; Bjuland, Terje & Øksendal, Bernt (2010). An anticipative linear filtering equation.
  • Aase, Knut; Bjuland, Terje & Øksendal, Bernt (2010). Strategic Insider Trading Equilibrium: A Filter Theory Approach.
  • Ta, An Thi Kieu & Øksendal, Bernt (2010). A Maximum Principle for Stochastic Differential Games with g–expectations and partial information.
  • Øksendal, Bernt & Sulem, Agnès (2010). Robust stochastic control and equivalent martingale measures.
  • Øksendal, Bernt & Sulem, Agnès (2010). Singular stochastic control and optimal stopping with partial information of Itô-Lévy processes.
  • Øksendal, Bernt; Sulem, Agnès & Zhang, Tusheng (2010). Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations.
  • Øksendal, Bernt (2009). Optimal control of PDEs and forward-backward SDEs, with applications to risk minimization.
  • Øksendal, Bernt (2009). The Black-Scholes option pricing formula and beyond. Matilde, Dansk Matematisk Forening.  37, s 9- 14
  • An, TTK; Øksendal, Bernt & Proske, Frank (2008). A maximum principle approach to risk indifference pricing with partial information .
  • Di Nunno, Giulia & Øksendal, Bernt (2008). Optimal portoflio, partial information and Malliavin calculus.
  • Di Nunno, Giulia & Øksendal, Bernt (2008). Optimal portoflio, partial information and Malliavin calculus.
  • Meyer-Brandis, Thilo; Øksendal, Bernt & Zhou, Xunyu (2008). A stochastic maximum principle via Malliavin calculus .
  • Okur, Yeliz Yolcu; Øksendal, Bernt & An, TTK (2008). A Malliavin calculus approach to general stochastic differential games with partial information .
  • Øksendal, Bernt & Sulem, Agnès (2008). A game theoretic approach to martingale measures in incomplete markets. Surveys of Applied and Industrial Mathematics.  ISSN 0869-8325.  15, s 18- 24
  • Øksendal, Bernt & Sulem, Agnès (2008). Maximum principles for optimal control of forward-backward stochastic differential equations with jumps .
  • Øksendal, Bernt & Zhang, Tusheng (2008). Optimal control with partial information for stochastic Volterra equations .
  • Øksendal, Bernt & Zhang, Tusheng (2008). Optimal control with partial information for stochastic Volterra equations .
  • Aase, Knut K.; Bjuland, Terje & Øksendal, Bernt (2007). Strategic Insider Trading Equilibrium: A Forward Integration Approach.
  • Aase, Knut K.; Bjuland, Terje & Øksendal, Bernt (2007). Strategic Insider Trading Equilibrium: A Forward Integration Approach.
Publisert 13. nov. 2010 14:34 - Sist endret 26. sep. 2012 12:28

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