PUBLICATIONS
Books
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C. Roger, J. Unterberger. The Schrödinger-Virasoro algebra. Mathematical structure and dynamical Schrödinger symmetries.
Review articles
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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
5. Optimal multi-time-scale estimates for diluted autocatalytic chemical networks.
(1) Introduction and sigma*-dominant case.
5. with J. Magnen. A mathematical derivation of zero-temperature 2D superconductivity
from microscopic Bardeen-Cooper-Schrieffer model. pdf
4. Dynamical invariance for random matrices. pdf
3. Generalized PDE estimates for KPZ equation through Hamilton-Jacobi formalism. pdf
2. PDE estimates for multi-dimensional KPZ equation. pdf
1. Global existence for strong solutions of viscous Burgers equation. (II) The unbounded case:
a characteristic flow study. pdf
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Articles
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33. with L. Dinis and D. Lacoste.
Pareto-optimal trade-off for phenotypic switching of populations in a stochastic environment,
J. Stat. Mech. (2022) pdf
32. Exact computation of growth-rate fluctuations in random environment, J. Stat. Phys. (2022) pdf
31. with P. Nghe. Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks,
J. Math. Biol. (2022) pdf
30. with L. Dinis and D. Lacoste. Phase transitions in optimal betting strategies, Europhys. Lett. 131 (2020). pdf
29. Global fluctuations for log-gas dynamics. (2) Covariance kernel and support, Electronic J. of Prob. (2019). 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).
