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On the first four years of activity (1/10/2008 - 30/09/2012), the Initial Training Network project fulfilled its main objective, that of recruiting the planned number of PhD students. Also, according to the schedule of the project, there were organized seventeen network events: a school followed by a workshop in Jena, Manchester, Brest, Marrakech, Milano, Iasi and two training workshops in Jena, one in Brest, one in Marrakech and one in Iasi.
All the Early Stage Researchers recruited by the ITN Network undergo a local research and training programme as well as a network-wide training programme.
1. The local research and training consists of:
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attending specialized courses as well non-specialized courses (e.g. foreign languages);
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weekly seminars concerning actual research problems; the seminars organized in the form of discussions with the participating researchers and talks given by the ESR;
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study of specialized literature under supervision of the responsible scientist.
2. The network wide training courses:
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participation to the School and the Workshop in Jena (March, 2009);
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participation to the School and the Workshop in Manchester (August, 2009);
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participation to the School and the Workshop in Roscoff(March, 2010);
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participation to the Workshop in Jena (June, 2010);
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participation to the School and the Workshop in Marrakech (December, 2010);
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participation to the Workshop in Jena (March, 2011);
- participation to the School and the Workshop in Milano (June,July 2011);
- participation to the School in Brest (March 2012);
- participation to the Workshop in Marrakech (April 2012);
- participation to the School and the Workshop in Iasi (June, July 2012);
- participation to the Workshop in Iasi (September 2012).
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Andrii ANDRUSIV |
ESR, Jena |
Ruin Probabilities for the Cramer-Lundberg Model with Stochastic Premiums |
| Matteo BEDINI |
ESR, Brest |
An Information-Based Approach to Credit-Risk Modelling |
| Elena ISSOGLIO |
ESR, Jena |
Multidimensional Stochastic Bridges: A Study via SDEs |
| Monique JEANBLANC |
VS |
Credit Risk Modeling |
| Shuai JING |
ESR, Brest |
Introduction to G-expectation, G-Brownian Motion and G-Backward SDEs |
| Qian LIN |
ESR, Brest |
Stochastic Differential Equations Driven by a G-Brownian Motion |
| Yuri KABANOV |
VS |
Introduction to the Theory of Financial Markets with Transaction Costs (series of lectures) |
| Holger METZLER |
ESR, Milano |
The Ito-Nisio Theorem |
| Youssef OUKNINE |
ITN member, Marrakech |
Fubini Stochastic Theorem for Lévy Sheet
abd Applications |
| Adrian ZALINESCU |
ITN member, Iasi |
Variational Inequalities Driven by Lévy Processes |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Khaled BAHLALI |
ITN member, Brest |
Some BSDEs and Semilinear PDEs with
Discontinuous Coefficients. Applications to the Homogenization of PDEs |
| Seid BAHLALI |
ITN member, Marrakech |
General Necessary and Sufficient
Optimality Conditions for Relaxed and Strict Control Problems |
| Rainer BUCKDAHN |
Scientific Coordinator, Brest |
Mean-Field BSDEs-Properties and Associated Nonlocal PDEs |
| Boulakhras GHERBAL |
ITN member, Marrakech |
Optimality Conditions of Controlled
Backward Doubly Stochastic Differential Equations |
| Monique JEANBLANC |
VS |
A Density Model for Credit Risk: What
Happens after Default? |
| Yuri KABANOV |
VS
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Financial Markets with Friction |
| Brahim MEZERDI |
ITN member, Marrakech |
Existence and Optimality Necessary in Stochastic Control of FBSDEs |
| Marc QUINCAMPOIX |
ITN member, Brest |
On Limiting Values of Stochastic Differential Equations with Small Noise Intensity Tending to Zero |
| Catherine RAINER |
ITN member, Brest |
Existence of an Optimal Control for Stochastic Control Systems with Nonlinear Cost Functional |
| Aurel RASCANU |
Coordinator, Iasi |
Stochastc Variational Inequalities in Noncovex Domains |
| Tusheng ZHANG |
ITN member, Manchester |
Boundary Value Problems of Second Order
Elliptic Operators with Singular Coefficients |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Rainer BUCKDAHN |
Scientific Coordinator, Brest |
Backward stochastic differential
equations and related method in stochastic control (series of lectures) |
| Ron DONEY |
ITN member, Manchester |
Fluctuation theory of Levy processes (series of lectures) |
| Anouar Mohamed GASSOUS |
ESR, Iasi |
Stochastic differential equations with oblique reflection |
| Elena ISSOGLIO |
ESR, Jena |
On a stochastic transport equation with fractional noise |
| Bernt ØKSENDAL |
VS |
Malliavin calculus for Levy processes and applications (series of lectures) |
| Marcus RIEDLE |
ITN member, Manchester |
Stochastic processes in Banach spaces (series of lectures) |
| Juan YANG |
ESR, Manchester |
White noise driven SPDEs with two reflected walls |
| Tusheng ZHANG |
ITN member, Manchester |
Stochastic evolution equations and stochasticpartial differential equations ( series of lectures) |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Viorel BARBU |
ITN member, Iasi |
The ergodicity of a phase field system perturbed by noise |
| Rainer BUCKDAHN |
Scientific Coordinator, Brest |
Nonlinear stochastic differential games
involving a major player and a large number of minor players |
| Ovidiu CARJA |
ITN member, Iasi |
Regularity of the state constrained minimal time function |
| Hans-Jurgen ENGELBERT |
ITN member, Brest |
On normal martingales and the structure equation: a new approach |
| Teodor HAVARNEANU |
ITN member, Iasi |
On the convergence of an approximation scheme for the viscosity solution of the Bellman equation arising in a stochastic optimal control problem |
| Lucian MATICIUC |
ITN member, Iasi |
BSVIs under locally bounded growth |
| Bernt ØKSENDAL |
VS |
Optimal control of PDEs and forward-backward SDEs, with applications to risk minimization |
| Marc QUINCAMPOIX |
ITN member, Brest |
Stochastic optimal control and linear programming approach |
| Martina ZAHLE |
ITN member, Jena |
Heat kernels, potential spaces and applications to SPDE |
| Adrian ZALINESCU |
ITN member, Iasi |
Viscosity solutions for systems of parabolic variational inequalities |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Juan LI & Rainer BUCKDAHN |
VS and Scientific Coordinator, Brest |
2 Persons Zero-Sum Stochastic Differential Games |
| Marco FUHRMAN & Fausto GOZZI |
ITN members, Milan |
Hamilton Jacobi Bellman equations in infinite dimensions |
| Elena ISSOGLIO |
ESR, Jena-Manchester |
The pathwise solution of an SPDEs with fractal noise |
| Hanbing LIU |
ESR, Iasi |
Maximum principle of State-Constraint optimal control governed by Navier-Stokes equations in 2D |
| Holger METZLER |
ESR, Milan |
Backward stochastic differential equations with infinite time horizon |
| Victor POSTOLACHE |
ESR, Iasi |
Filippov Type estimates for fully non linear differential inclusions |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Matteo BEDINI |
ESR, Brest-Jena |
Brownian bridge on Stochastic Interval |
| Ovidiu CARJA |
ITN member, Iasi |
On strong invariance for semi linear differential inclusions |
| Mhamed EDDAHBI |
ITN member, Marrakech |
Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density |
| Hans-Juergen ENGELBERT |
ITN member, Jena |
On stochastic exponentials |
| El Hassan ESSAKY |
ITN member, Marrakech |
Existence and uniqueness of solution for multidimensional BSDE with local conditions on the coefficient |
| Mohammed Anouar GASSOUS |
ESR, Iasi |
Some areas of applications of SDE (BSDE) with oblique reflection |
| Theodor HAVARNEANU |
ITN member, Iasi |
A Trotter Scheme for Navier Stokes equations |
| Shuai JING |
ESR, Brest |
Semilinear SPDEs driven by an fBM of Hurst parameter H in (0.1/2) |
| Qian LIN |
ESR, Brest |
Representation of G-martingales as stochastic integrals with respect to G-Brownian motion |
| Federica MASIERO |
ITN member, Milan |
A stochastic optimal control problem for the Heat equation on the Halfline with Dirichlet Boundary-noise and Boundary-control |
| Tianyang NIE |
ESR, Iasi |
The viability of stochastic differential equation driven by fractional Brownian motion |
| Youssef OUKNINE |
ITN member, Marrakech |
The bounded variation of the flow of stochastic differential equation |
| Marc QUINCAMPOIX |
ITN member, Brest |
Boundary value problems for second order stochastic differential equations with small parameters |
| Aurel RASCANU |
ITN member, Iasi |
Stochastic variational inequalities with oblique subgradents |
| Markus RIEDLE |
ITN member, Manchester |
Stochastic integration for Levy processes in Banach spaces |
| Paolo DI TELLA |
ESR, Milan |
Linear Stochastic Schrödinger and Master Equations |
| Martina ZAHLE |
ITN member, Jena |
Semigroups and stochastic partial (pseudo) differential equations on measure spaces |
| Tusheng ZHANG |
ITN member, Manchester |
Semilinear Elliptic PDEs with singular coefficients |
| Ying HU |
ITN member, Brest |
Quadratic and Superquadratic BSDEs and Related PDEs |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Monique JEANBLANC |
VS |
Enlargement of Filtrations- An Introduction (270 minutes) |
| Andrii ANDRUSIV |
ESR, Brest |
Two Examples Related to Minimal entropy Martingale Measures |
| Matteo BEDINI |
ESR, Brest-Jena |
Modelling Information for Credit Risk |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Elena ISSOGLIO |
ESR, Jena-Manchester |
On a stochastic transport equation with fractale noise |
| Andrii ANDRUSIV |
ESR, Jena |
On Minimal Entropy Martingale Measures |
| Aurel RASCANU |
Coordinator, Iasi |
Stochastic Variational Inequalities (series of lectures) |
| Christine GRUN |
ESR, Brest |
Stochastic Differential Games with Incomplete Information |
| Victor POSTOLACHE |
ESR, Iasi |
Approximate weak invariance for semilinear differential inclusions in Banach spaces |
| Rainer BUCKDAHN |
Scientific Coordinator, Brest |
Regularity properties of Hamilton-Jacobi-Bellman equations. A BSDE approach (series of lectures) |
| Adrian ZALINESCU |
ITN member, Iasi |
Control problems for SDEs with oblique reflection |
| Soufiane AAZIZI |
ESR, Marrakech |
Portfolio-constrained Backward SDEs with Jump and Related variational inequality |
| Youssef OUKNINE |
ITN member, Marrakech |
Pathwise uniqueness for SDE with jumps and local time |
| M'hamed EDDAHBI |
ITN member, Marrakech |
On a class of BSDE with quadratic growth |
| Mateo BEDINI |
ESR, Jena-Brest |
Information process and enlargement of filtration |
| Mohamed ERRAOUI |
ITN member, Marrakech |
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| Huyen PHAM |
VS |
Stochastic control in finance (series of lectures) |
| Stephane CREPEY |
VS |
BSDE modeling of financial derivatives (series of lectures) |
| Said HAMADENE |
VS |
Optimal switching and BSDEs (series of lectures) |
| Monique PONTIER |
VS |
Pricing rules under asymmetric information (series of lectures) |
| Andrzej ROZKOSZ |
VS |
BSDEs and PDEs in divergence form (series of lectures) |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Viorel BARBU |
ITN member, Iasi |
The dual Hamilton-Jacobi Equation associated with Stochastic Optimal Control |
| Teodor HAVARENEAU |
ITN member, Iasi |
Remarks on Controlability results of Magnetobydiodynamic Equations |
| Eduard Rotenstein |
ITN member, Iasi |
Convex optimization problems and BSDEs driven by maximal monotone operators |
| Brahim MEZERDI |
ITN member, Marrakech |
On some aspects of singular stochastic control |
| Marc QUINCAMPOIX |
ITN member, Brest |
Lipschitz Continuity and Semiconcavity Properties of the Value Function of a Stochastic Control |
| Catherine RAINER |
ITN member, Brest |
Regularity properties of Hamilton-Jacobi-Bellman equations |
| Holger METZLER |
ESR, Milan |
An ergodic stochastic game with n players |
| Mohamed HASSANI |
ITN member, Marrakech |
General existence results for BSDE |
| Tusheng ZHANG |
ITN member, Manchester |
Small Random Perturbation of a kind of FBSCS |
| Hans-Jürgen ENGELBERT |
ITN member, Jena |
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| El Hassan ESSAKY |
ITN member, Marrakech |
BSDE With Two Reflecting Barriers and Stochastic Quadratic Growth: Application to Dynkin Game |
| Khaled BAHLALI |
ITN member, Brest |
Unicite forte pour une EDS a coefficients de croissance surlineaire |
| Name of participant |
Status of the participant, origin |
Name of the talk |
| Aazizi, Soufiane |
ESR, Marrakech |
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| Andrusiv, Andrii |
ESR, Jena |
On Minimal Entropy Martingale Measures |
| Bedini, Matteo |
ESR, Jena-Brest |
Information and Credit Risk |
| Blei, Stefan |
ER, Brest |
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| Buannic, Fanny |
Project manager, Brest |
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| Buckdahn, Rainer |
Scientific Coordinator, Brest |
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| Diomande, Bakarime |
ESR, Iasi |
SDEs with delay |
| Di Tella, Paolo |
ESR, Jena |
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| Eddahbi, Mhamed |
ITN member, Marrakech |
Chaos Expansion of some Functionals of the fBm and Levy Processes and Applications |
| El Asri, Brahim |
ER, Jena |
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| Engelbert, Hans-Jurgen |
ITN member, Jena |
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| Grun, Christine |
ESR, Brest |
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| Hinz, Michael |
ITN member, Jena |
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| Ibragimov, Anton |
ESR, Milano |
Parabolic SDE in Infinite Dimensions over G-expectatins |
| Issoglio, Elena |
ESR, Jena-Brest |
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| Jing, Shuai |
ESR, Brest |
SPDE driven by a Fractional Brownian Motion of Hurst Coeffcient 1/2<H<1. Study through its Doubly Stochastic Interpretation |
| Lin, Qian |
ESR, Brest |
Nash Equilibria for 2-Persons Non-Zero Sum Stochastic Differential Games in a general Setting |
| Maticiuc, Lucian |
ITN member, Iasi |
Multivalued Backward Stochastic Differential Equations driven by Fractional Brownian Motion with Hurst Parameter H > 1/2 |
| Metzler, Holger |
ESR, Milano |
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| Quincampoix, Marc |
ITN member, Brest |
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| Rainer, Catherine |
ITN member, Brest |
Holder Regularity for Viscosity Solutions of fully Nonlinear Hamilton-Jacobi Equations with Super-Quadratic Growth in the Gradient |
| Rascanu, Aurel |
Coordinator, Iasi |
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| Rotenstein, Eduard Paul |
ITN member & Project manager, Iasi |
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| Yang, Juan |
ESR, Iasi |
Existence and Uniqueness of Invariant Measure of SPDE with Reflection |
| Zahle, Martina |
ITN member, Jena |
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