Stéphane MUNIER


"Directeur de recherche" at CNRS

Associate professor at École polytechnique

Research group: Mathematical Physics

Address CPHT, Ecole Polytechnique, 91128 Palaiseau cedex, France
Phone 01 69 33 42 85
Fax 01 69 33 49 49
Office Buliding 6, office 06.1033

Current interests

Branching processes and applications to high energy physics.

I am currently working mainly on branching random walks (with or without selection), an interdisciplinary subject at the interface between statistical physics and its applications, in particular to the theory of evolution in biology, and mathematics. My interest in the general study of these stochastic processes is actually rooted in problems of particle physics, the latter being my training specialty. My previous research has indeed shown that such processes are involved in the microscopic description of very high energy particle collisions, for which they constitute an effective theory of quantum chromodynamics. In particular, I have shown that the statistics of the extremes in the branching random walks correspond to the total cross sections of electron-atomic nucleus interactions, while some properties of the genealogies are found to be related to the diffractive cross sections.

PhD proposal starting in the Fall 2024

Genealogy of extreme particles in branching processes and links with particle physics observables

Former PhD student

Anh Dung Le (PhD 2018-2022)

Recent Articles

Le AD, Mueller AH, Munier S.
Nuclear scattering configurations of onia in different frames.
Physical Review D. 2021;103(5):054031.
DOI: 10.1103/PhysRevD.103.054031

Brunet É, Le AD, Mueller AH, Munier S.
How to generate the tip of branching random walks evolved to large times.
EPL. 2020;131(4):40002.
DOI: 10.1209/0295-5075/131/40002.

Mueller AH, Munier S.
Particle-number distribution in large fluctuations at the tip of branching random walks.
Physical Review E. 2020;102(2):022104.
DOI: 10.1103/PhysRevE.102.022104.

Most significant publications

Mueller A.H., Munier S.
Phenomenological picture of fluctuations in branching random walks.
Phys.Rev. E90 (2014) no.4, 042143.

Mueller A.H., Munier S.
p perpendicular to-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order.
Nuclear Physics A 2012;893:43-86.

Iancu E., Mueller A.H., Munier S. 
Universal behavior of QCD amplitudes at high energy from general tools of statistical physics 
Phys.Lett. B 2005 ; 606 : 342-350

Brunet E., Derrida B., Mueller A. H., Munier S.
Phenomenological theory giving the full statistics of the position of fluctuating pulled fronts. 
Physical Review E 2006 ; 73(5) : 056126.

Munier S., Peschanski R.
Geometric scaling as traveling waves 
Phys.Rev.Lett. 2003 ; 91 : 232001

Munier S., Stasto A.M., Mueller A.H.
Impact parameter dependent S-matrix for dipole proton scattering from diffractive meson electroproduction 
Nucl.Phys. B 2001 ; 603 : 427

Review papers

Munier S.
Statistical physics in QCD evolution towards high energies.
Sci.China Phys.Mech.Astron. 58 (2015) no.8, 81001.

Munier S.
Quantum chromodynamics at high energy and statistical physics.



Contributions à l'etude de la chromodynamique quantique perturbative appliquee à la diffusion profondement inelastique à petit x b j
PhD defense at Ecole Polytechnique, 2000
Advisor : R. Peschanski (Service de Physique Théorique, CEA-Saclay)

Habilitation thesis

Munier S. 
Quantum chromodynamics at high energy and noisy traveling waves 

Publications from INSPIRE