Sommaire du Fascicule no. 1

Interpolation des opérateurs de Radon–Nikodym et des espaces L Λ p , h Λ p
Transverse nonlinear instability of Euler–Korteweg solitons
Non-Archimedean analytic geometry as relative algebraic geometry
Liberation theory for noncommutative homogeneous spaces
[Théorie de liberation pour les espaces homogènes non commutatifs]
Energy decay for a locally undamped wave equation
Regular foliations on weak Fano manifolds

Sommaire du Fascicule no. 2

Preface
A dual Moser–Onofri inequality and its extensions to higher dimensional spheres
Laplacian matrices and spanning trees of tree graphs
An Exercise(?) in Fourier Analysis on the Heisenberg Group
Convergence to equilibrium for a directed (1+d)-dimensional polymer
Duality and Stability for Functional Inequalities
Interpolation inequalities on the sphere: linear vs. nonlinear flows
[Inégalités d’interpolation sur la sphère : flots non-linéaires vs. flots linéaires]
Hypercontractivity for local states of the quantized electromagnetic field.
Markov loops, coverings and fields
On the hypergroup property
Harmonic Measures on the Sphere via Curvature-Dimension
Quantum expanders and growth of group representations
Random walks in Dirichlet environment: an overview
Diffusion-orthogonal polynomial systems of maximal weighted degree
Functional SPDE with Multiplicative Noise and Dini Drift

Sommaire du Fascicule no. 3

Espace des twisteurs d’une variété quaternionique Kähler généralisée
About the analogy between optimal transport and minimal entropy
Equivariant triple intersections
Resurgence and highest level’s connection-to-Stokes formulæ for some linear meromorphic differential systems
Envelopes of positive metrics with prescribed singularities

Sommaire du Fascicule no. 4

Preface
Lecture notes on the DiPerna–Lions theory in abstract measure spaces
Data assimilation for geophysical fluids
Unbounded rough drivers
Geometric diffusions of 1-currents
Stochastic PDEs, Regularity structures, and interacting particle systems
Stochastic partial differential equations: a rough paths view on weak solutions via Feynman–Kac
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates
[Unicité et rigidité pour des équations elliptiques non linéaires, inégalités d’interpolation et estimations spectrales]
Infinite energy solutions of the two-dimensional Navier–Stokes equations
Large scale ocean models beyond the traditional approximation
Particle Filters for nonlinear data assimilation in high-dimensional systems

Sommaire du Fascicule no. 5

Sur le problème d’équivalence de Cartan
Automorphism group of the commutator subgroup of the braid group
Canonical q-deformations in arithmetic geometry
On the first order asymptotics of partial Bergman kernels
A note on Riley polynomials of 2-bridge knots
Algorithmic aspects of branched coverings