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RENORMALIZATION, THERMODYNAMIC FORMALISM AND QUASI-CRYSTALS IN SUBSHIFTS.
The paper was withdrawn from publication due to an error found in some proof. This is a new version and resubmitted for publication. The occurance of phase transition is proved... -
Higher loop corrections to a Schwinger--Dyson equation
12 pages, 2 imbedded TiKZ pictures -
Deformation quantization for Heisenberg supergroup
International audience -
Global aspects of the reducibility of quasiperiodic cocycles in semisimple co...
In this PhD thesis we study quasiperiodic cocycles in semi-simple compact Lie groups. For the greatest part of our study, we will focus ourselves to one-frequency... -
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
International audience -
From dynamical systems to renormalization
We study in this paper logarithmic derivatives associated to derivations on graded complete Lie algebra, as well as the existence of inverses. These logarithmic... -
RENORMALIZATION, FREEZING PHASE TRANSITIONS AND FIBONACCI QUASICRYSTALS.
We examine the renormalization operator determined by the Fibonacci substitution. We exhibit a fixed point and determine its stable leaf (under iteration of the... -
Growth of a population of bacteria in a dynamical hostile environment
31 pages, 1 figure -
Tensorial methods and renormalization in Group Field Theories
In this thesis, we study the structure of Group Field Theories (GFTs) from the point of view of renormalization theory.Such quantum field theories are found in... -
Glassy phase and freezing of log-correlated Gaussian potentials
International audience -
Mathematical modeling of point defects in materials science
International audience -
Renormalization of quantum field theory on curved space-times: a causal appro...
The subject of the thesis is the construction of a perturbative quantum theory of interacting fields on a curved space-time, following a point of view pioneered by... -
A smooth introduction to the wavefront set
29 pages, 7 figures -
Functional properties of Hörmander's space of distributions having a specifie...
38 pages, no figure. Nuclearity and further functional properties are added in this second version.
