PUBLICATIONS

Review articles

1. Aspects de la théorie des chemins rugueux. Gazette de la SMF (janvier 2012).

2. Mode d'emploi de la théorie constructive des champs bosoniques (avec une application

           aux chemins rugueux).A user's guide to bosonic constructive field theory, Confl. Math. (2012)     pdf

Preprints

1. with J. Magnen. A mathematical derivation of zero-temperature 2D superconductivity

    from microscopic Bardeen-Cooper-Schrieffer model.     pdf

2. Dynamical invariance for random matrices.     pdf

3. Generalized PDE estimates for KPZ equation through Hamilton-Jacobi formalism.     pdf

4. PDE estimates for multi-dimensional KPZ equation.     pdf

5. Global existence for strong solutions of viscous Burgers equation. (II) The unbounded case:

          a characteristic flow study.      pdf

Articles

29. Global fluctuations for log-gas dynamics. (2) Covariance kernel and support, accepted at: Electronic J. of  Prob.     pdf

28. with D. Karevski, S. Scopa. Exact dynamics of a one-dimensional Bose gas in a periodic

           time-dependent harmonic trap, J. Phys. A.: Math. Theor. (2018).     pdf

27. The scaling limit of the KPZ equation in dimension 3 and higher, J. Stat. Phys. (2018).    pdf

26. Global fluctuations for log-gas dynamics, Stoch. Proc. Appl. (2018)    pdf

25. Global existence for strong solutions of viscous Burgers equation.

     (I) The bounded case,  Control and Cybernetics (2017).             pdf

24. A renormalized  rough path over fractional Brownian motion, Comm. Math. Phys. (2013).     pdf

22 & 23. J. Magnen, J. Unterberger. From constructive field theory to fractional stochastic calculus. Ann. H. Poincaré (2011).  

        (I) An introduction: rough path theory and perturbative heuristics.    pdf

       (II) Constructive proof of convergence for the Lévy area of fractional Brownian motion

              with Hurst index $\alpha\in(1/8,1/4)$.    pdf

21. L. Foissy, J. Unterberger. Ordered forests, permutations and iterated integrals,

      International Mathematics Research Notices (2012).    pdf

20. Moment estimates for solutions of linear stochastic differential equations driven by analytic fractional Brownian      

       motion,  Electronic Communications in Probability (2010).     pdf

19. Hölder-continuous rough paths by Fourier normal ordering, Comm. Math. Phys. (2010).       pdf

18. A rough path over multidimensional fractional Brownian motion with arbitrary Hurst index
      by Fourier normal ordering
, Stoch. Proc. Appl. (2010).
    pdf

17. A classification of periodic time-dependent generalized harmonic oscillators using
      a Hamiltonian action of the Schrödinger-Virasoro group,
Confl. Math. (2010).
     pdf

16. S. Tindel, J. Unterberger. The rough path associated to the multidimensional analytic fBm with any
     Hurst parameter,
Collectanea Mathematica (2011).
     pdf

15. C. Roger, J. Unterberger. A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of
      periodic time-dependent Schrödinger operators in (1+1)-dimensions
,    Journal of Nonlinear Math. Phys. (2010).
     pdf

14. A. Neuenkirch, S. Tindel, J. Unterberger. Discretizing the fractional Levy area, Stoch. Proc. Appl. (2010).     pdf
13. A. Boettcher, S. Grudsky, E. A. Maksimenko, J. Unterberger. The first order asymptotics of the extreme eigenvectors

      of certain Hermitian Toeplitz matrices, Integral Equations and Operator Theory 63  (2009).   

12. Stochastic calculus for fractional Brownian motion with Hurst exponent H larger than 1/4: a rough path method by analytic

   extension.  Annals of Probability (2009).     pdf

11. On vertex algebra representations of the Schrödinger-Virasoro Lie algebra. Nucl. Phys. B (2009).    pdf
10.  A. Boettcher, S. Grudsky, J. Unterberger. Asymptotic pseudomodes of Toeplitz matrices. Operators and Matrices 2 (4),
      525--531 (2008).

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

8. C. Roger, J. Unterberger. The Schrödinger-Virasoro Lie group and algebra: from geometry to representation
          theory,
  Ann. Henri Poincaré (2006).    pdf

7. M. Henkel, J. Unterberger. Supersymmetric extensions of Schrödinger-invariance, Nucl. Phys. B (2006).    pdf
6. Malte Henkel, R. Schott,  S. Stoimenov, J. Unterberger. On the dynamical symmetric algebra of ageing: Lie  structure,  

          representations and Appell systems, Quantum Probab. White Noise Anal. (2007).    pdf

5. M. Henkel, J. Unterberger. Schrödinger invariance and space-time symmetries, Nucl. Phys. B (2003).    pdf
4. N. B. Andersen, J. Unterberger. An application of shift operators to ordered symmetric spaces,  Ann. Inst. Fourier 52 (2002). 

3. Hypergeometric functions of second kind and spherical functions on an ordered symmetric space, J. Funct. Anal. 188 (2002). 

2. F. Ricci, J. Unterberger. Solvability of invariant sublaplacians on spheres and group contractions,

                              Rend. Mat. Acc. Lincei      9-12 (2001).

1. N. B. Andersen, J. Unterberger. Harmonic analysis on $SU(n,n)/SL(n,\C)\times\R_+^*$, J. Lie Theory 10 (2000).

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