Concept
Transcendental number theory
Related publications (9)
Progress in the development of the ITER baseline scenario in TCV
Olivier Sauter, Stefano Coda, Benoît Labit, Alessandro Pau, Alexander Karpushov, Antoine Pierre Emmanuel Alexis Merle, Oleg Krutkin, Cassandre Ekta Contré, Reinart Andreas J. Coosemans, Stefano Marchioni, Yann Camenen, Matteo Vallar, Filippo Bagnato, Simon Van Mulders
Under the auspices of EUROfusion, the ITER baseline (IBL) scenario has been jointly investigated on AUG and TCV in the past years and this paper reports on the developments on TCV. It is found that the performance of TCV IBL is mainly limited by (neoclassi ...
2024Multiplicative chaos of the Brownian loop soup
Antoine Pierre François Jego, Titus Lupu
We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity theta>0, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...
WILEY2023Liouville Measure As A Multiplicative Cascade Via Level Sets Of The Gaussian Free Field
We provide new constructions of the subcritical and critical Gaussian multiplicative chaos (GMC) measures corresponding to the 2D Gaussian free field (GFF). As a special case we recover E. Aidekon's construction of random measures using nested conformally ...
ANNALES INST FOURIER2020Lower bounds for Pythagoras numbers of function fields
We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers. ...
European Mathematical Soc2015Harmonic Maps on Smooth Metric Measure Spaces and on Riemannian Polyhedra
This thesis is a study of harmonic maps in two different settings. The first part is concerned with harmonic maps from smooth metric measure spaces to Riemannian manifolds. The second part is study of harmonic maps from Riemannian polyhedra to non-positive ...
EPFL2013