R. Imekraz, Multidimensional Paley-Zygmund theorems and sharp Lp estimates for some elliptic operators,
To be published in Annales de l'Institut Fourier
https://hal.archives-ouvertes.fr/hal-01572331
J. Angst and G. Poly, On the absolute continuity of random nodal volumes,
Submitted
https://arxiv.org/abs/1811.04795
V. Bally, L. Caramellino,and G. Poly,
Non universality for the variance of the number of real roots of random
trigonometric polynomials,
Probability Theory and Related Fields
https://link.springer.com/article/10.1007/s00440-018-0869-2
J. Angst, F. Dalmao and G. Poly, On the real zeros of random
trigonometric polynomials with dependent coefficients,
Proc. Amer. Math. Soc. 147 (2019), 205-214
http://www.ams.org/journals/proc/2019-147-01/S0002-9939-2018-14216-1/
J. Angst, V.H. Pham and G. Poly, Universality of the nodal length of
bivariate trigonometric polynomials,
Trans. Amer. Math. Soc (2018),
https://doi.org/10.1090/tran/7255
T. Letendre, Variance of the volume of random real algebraic
submanifolds,
Trans. Amer. Math. Soc. (2018),
https://doi.org/10.1090/tran/7478
T. Letendre et M. Puchol, Variance of the volume of random real
algebraic submanifolds II,
Indiana Univ. Math. J., to be published
arXiv:1707.09771
R. Imekraz, Concentration et randomisation universelle de sous-espaces
propres
Analysis & PDE (2018), 11(2), pages 263-350,
https://projecteuclid.org/euclid.apde/1513774507
F. Dalmao, I. Nourdin, G. Peccati, M. Rossi: Phase singularities in complex arithmetic random waves.
Electronic Journal of Probability (in press).
http://arxiv.org/abs/1608.05631
I. Nourdin, G. Peccati, M. Rossi: Nodal statistics of planar random waves.
Communications in Mathematical Physics (in press).
https://doi.org/10.1007/s00220-019-03432-5
D. Marinucci, M. Rossi, I. Wigman: The asymptotic equivalence of the
sample trispectrum and the nodal length for random spherical harmonics.
Annales de l’Institut Henri Poincaré, Probabilités et Statistiques (in press).
https://arxiv.org/pdf/1705.05747.pdf
M. Rossi: The defect of random hyperspherical harmonics.
Journal of Theoretical Probability (in press).
https://link.springer.com/article/10.1007/s10959-018-0849-6
M. Rossi, I. Wigman: Asymptotic distribution of nodal intersections for arithmetic random waves.
Nonlinearity, 31, 4472 (2018).
http://iopscience.iop.org/article/10.1088/1361-6544/aaced4
G. Peccati, M. Rossi: Quantitative limit theorems for local functionals of arithmetic random waves.
Computation and Combinatorics in Dynamics, Stochastics and Control, The
Abel Symposium, Rosendal, Norway, August 2016, 13, 659-689 (2018).
https://www.springer.com/gp/book/9783030015923#
S. Campese, D. Marinucci, M. Rossi: Approximate normality of high-energy hyperspherical eigenfunctions.
Journal of Mathematical Analysis and Applications, 461, 1, 500–522 (2018).
https://www.sciencedirect.com/science/article/pii/S0022247X17310521
J. Angst and G. Poly, On the Pulperia theorem for dependant variables
arXiv:1802.007
EVENTS - CONFERENCE 2019
Within the four years of the project
UNIRANDOM, we plan to organize several workshops and two international
conferences. The first international conference will take place in
Rennes, on the week 9-13 September 2019. It will gather specialists
from various mathematical disciplines such as algebraic geometry,
spectral analysis, probability theory or else mathematical physics that
share a common interest in the study of random nodal domains and their
geometric, analytic or probabilistic properties.
The participants will expose their last results on the subject during
40 minutes talks. We will favour discussions and networking in a
friendly atmosphere to encourage future collaborations.
For more information, please visit the dedicated website at the address
GALLERY
Here are some pictures of simulations of
random nodal domains.
Click on the images to make them bigger