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Sommaire du Fascicule no. 1

Interpolation des opérateurs de Radon–Nikodym et des espaces L Λ p , h Λ p
p. 1-22
Transverse nonlinear instability of Euler–Korteweg solitons
p. 23-48
Non-Archimedean analytic geometry as relative algebraic geometry
p. 49-126
Liberation theory for noncommutative homogeneous spaces
[Théorie de liberation pour les espaces homogènes non commutatifs]
p. 127-156
Energy decay for a locally undamped wave equation
p. 157-205
Regular foliations on weak Fano manifolds
p. 207-217

Sommaire du Fascicule no. 2

Preface
p. i
A dual Moser–Onofri inequality and its extensions to higher dimensional spheres
p. 217-233
Laplacian matrices and spanning trees of tree graphs
p. 235-261
An Exercise(?) in Fourier Analysis on the Heisenberg Group
p. 263-288
Convergence to equilibrium for a directed (1+d)-dimensional polymer
p. 289-318
Duality and Stability for Functional Inequalities
p. 319-350
Interpolation inequalities on the sphere: linear vs. nonlinear flows
[Inégalités d’interpolation sur la sphère : flots non-linéaires vs. flots linéaires]
p. 351-379
Hypercontractivity for local states of the quantized electromagnetic field.
p. 381-399
Markov loops, coverings and fields
p. 401-416
On the hypergroup property
p. 417-435
Harmonic Measures on the Sphere via Curvature-Dimension
p. 437-449
Quantum expanders and growth of group representations
p. 451-462
Random walks in Dirichlet environment: an overview
p. 463-509
Diffusion-orthogonal polynomial systems of maximal weighted degree
p. 511-518
Functional SPDE with Multiplicative Noise and Dini Drift
p. 519-537

Sommaire du Fascicule no. 3

Espace des twisteurs d’une variété quaternionique Kähler généralisée
p. 539-568
About the analogy between optimal transport and minimal entropy
p. 569-600
Equivariant triple intersections
p. 601-643
Resurgence and highest level’s connection-to-Stokes formulæ for some linear meromorphic differential systems
p. 645-685
Envelopes of positive metrics with prescribed singularities
p. 687-727

Sommaire du Fascicule no. 4

Preface
p. i-ii
Lecture notes on the DiPerna–Lions theory in abstract measure spaces
p. 729-766
Data assimilation for geophysical fluids
p. 767-793
Unbounded rough drivers
p. 795-830
Geometric diffusions of 1-currents
p. 831-846
Stochastic PDEs, Regularity structures, and interacting particle systems
p. 847-909
Stochastic partial differential equations: a rough paths view on weak solutions via Feynman–Kac
p. 911-947
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]
p. 949-977
Infinite energy solutions of the two-dimensional Navier–Stokes equations
p. 979-1027
Large scale ocean models beyond the traditional approximation
p. 1029-1049
Particle Filters for nonlinear data assimilation in high-dimensional systems
p. 1051-1085

Sommaire du Fascicule no. 5

Sur le problème d’équivalence de Cartan
p. 1087-1136
Automorphism group of the commutator subgroup of the braid group
p. 1137-1161
Canonical q-deformations in arithmetic geometry
p. 1163-1192
On the first order asymptotics of partial Bergman kernels
p. 1193-1210
A note on Riley polynomials of 2-bridge knots
p. 1211-1217
Algorithmic aspects of branched coverings
p. 1219-1296