PREPRINTS


A renormalized rough path over fractional Brownian motion. http://arxiv.org/abs/1006.5604


en collaboration avec Jacques Magnen: From constructive field theory to fractional stochastic calculus. (I) The Levy area of
fractional Brownian motion with Hurst index between 1/8 and 1/4.
http://arxiv.org/abs/1006.1255


en collaboration avec Loic Foissy: Ordered forests, permutations and iterated integrals. http://arxiv.org/abs/1004.5208

A Levy area by Fourier normal ordering for multidimensional fractional Brownian motion with small Hurst index.
   
http://arxiv.org/abs/0906.1416

Moment estimates for solutions of linear stochastic differential equations driven by analytic fractional Brownian motion.
   
http://arxiv.org/abs/0905.0782

A central limit theorem for the rescaled L\'evy area of two-dimensional fractional
Brownian motion with Hurst index H<1/4.
  
http://arxiv.org/abs/0808.3458




ARTICLES




22.  Jérémie Unterberger,  H\"older-continuous rough paths by Fourier normal ordering. Communications in Mathematical Physics 298             (1), 1-36 (2010).  http://arxiv.org/abs/0903.2716

21.  Jérémie Unterberger,
  A rough path over multidimensional fractional Brownian motion with arbitrary Hurst index by Fourier normal ordering.
Stochastic Processes and their Applications 120 (8), 1444-1472 (2010).   
http://arxiv.org/abs/0901.4771

20. Jérémie Unterberger,
  A classification of periodic time-dependent generalized harmonic oscillators using
a Hamiltonian action of the Schr\"odinger-Virasoro group.
To appear in Confluentes Mathematicae.
    http://arxiv.org/abs/0806.1185

19. Samy Tindel et Jérémie Unterberger,
     The rough path associated to the multidimensional analytic fBm with any
Hurst parameter.
To appear in Collectanea Mathematica.

18. Claude Roger et Jérémie Unterberger,
    A Hamiltonian action of the Schr\"odinger-Virasoro algebra on a space of
periodic time-dependent Schr\"odinger operators in (1+1)-dimensions.
To appear in Journal of
Nonlinear Mathematical Physics.

17. Andreas Neuenkirch, Samy Tindel, Jérémie Unterberger, Discretizing the fractional Levy area. Stochastic
       Processes and their Applications 120 (2), 223-254 (2010).

16. Albrecht Boettcher, Sacha Grudsky, Egor A. Maksimenko, Jérémie Unterberger,
    The first order asymptotics of the extreme eigenvectors of certain Hermitian
Toeplitz matrices. Integral Equations and Operator Theory 63, 165-180 (2009).


15. Jérémie Unterberger,  Stochastic calculus for fractional Brownian motion with Hurst exponent H larger
than 1/4: a rough path method by analytic extension. 
Annals of Probability 37 (2), 565-614 (2009).

14. Jérémie Unterberger,
    On vertex algebra representations of the Schr\"odinger-Virasoro Lie algebra. Nuclear Physics B823 (3), 320-371 (2009).

13. Albrecht Boettcher, Sacha Grudsky, Jérémie Unterberger,
    Asymptotic pseudomodes of Toeplitz matrices. Operators and Matrices, 2 (4),
525--531 (2008).

12. Jérémie Unterberger,
    The Schrödinger-Virasoro Lie algebra: a mathematical structure between conformal field theory and non-equilibrium dynamics, Journal of Physics, Conference  Series 40,
156 (2006).

11. Claude Roger, Jérémie Unterberger,
    The Schrödinger-Virasoro Lie group and algebra: from geometry to representation
    theory, 
Ann. Henri Poincaré 7 (2006), 1477--1529.

10. Malte Henkel, René Schott, Stoimen Stoimenov, Jérémie Unterberger, math-ph/0601028,
    The Poincar
é algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states.

9. Malte Henkel, Jérémie Unterberger,
    Supersymmetric extensions of Schrödinger-invariance,
Nucl. Phys. B746,
155--201 (2006).

8. Malte Henkel, Rene Schott, Stoimen Stoimenov, Jeremie Unterberger.
    On the dynamical symmetric algebra of ageing: Lie  structure, representations and
       Appell systems,
Quantum Probab. White Noise Anal. 20 (2007), 233-240.

7. Malte Henkel, Alan Picone, Michel Pleimling et Jérémie Unterberger, cond-mat/0307649
      Local scale invariance and its applications to strongly anisotropic critical phenomena (2003).

6. Malte Henkel et Jérémie Unterberger,
      Schrödinger invariance and space-time symmetries, Nucl. Phys. B660, 407 (2003).


5. Nils B. Andersen et Jérémie Unterberger,
    An application of shift operators to ordered symmetric spaces,
publi
é dans: Ann. Inst. Fourier 52 (2002).

4. Jérémie Unterberger,
    Hypergeometric functions of second kind and spherical functions on an ordered symmetric space,
publi
é dans: J. Funct. Anal. 188 (2002).

3. Fulvio Ricci et Jérémie Unterberger,
    Solvability of invariant sublaplacians on spheres and group contractions,
publi
é dans: Rend. Mat. Acc. Lincei 9-12 (2001).

2. Nils B. Andersen et Jérémie Unterberger,
    Harmonic analysis on $SU(n,n)/SL(n,\C)\times\R_+^*$,
publié dans: J. Lie Theory 10 (2000).


1. Jérémie Unterberger,
    Analyse harmonique sur un espace sym
étrique ordonné et
    sur son dual compact
(1999). Th
èse de doctorat de l'université Paris VI.