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Issue no. 1 Table of Contents

Interpolation des opérateurs de Radon–Nikodym et des espaces L Λ p , h Λ p
Mohammad Daher
Transverse nonlinear instability of Euler–Korteweg solitons
Matthew Paddick
Non-Archimedean analytic geometry as relative algebraic geometry
Oren Ben-Bassat; Kobi Kremnizer
Liberation theory for noncommutative homogeneous spaces
Teodor Banica
Energy decay for a locally undamped wave equation
Matthieu Léautaud; Nicolas Lerner
Regular foliations on weak Fano manifolds
Stéphane Druel

Issue no. 2 Table of Contents

Preface
K. D. Elworthy; I. Gentil; M. Ledoux; F. Malrieu; B. Zegarlinski
A dual Moser–Onofri inequality and its extensions to higher dimensional spheres
Martial Agueh; Shirin Boroushaki; Nassif Ghoussoub
Laplacian matrices and spanning trees of tree graphs
Philippe Biane; Guillaume Chapuy
An Exercise(?) in Fourier Analysis on the Heisenberg Group
Daniel Bump; Persi Diaconis; Angela Hicks; Laurent Miclo; Harold Widom
Convergence to equilibrium for a directed (1+d)-dimensional polymer
Pietro Caputo; Julien Sohier
Duality and Stability for Functional Inequalities
Eric A. Carlen
Interpolation inequalities on the sphere: linear vs. nonlinear flows
Jean Dolbeault; Maria J. Esteban; Michael Loss
Hypercontractivity for local states of the quantized electromagnetic field.
Leonard Gross
Markov loops, coverings and fields
Yves Le Jan
On the hypergroup property
Laurent Miclo
Harmonic Measures on the Sphere via Curvature-Dimension
Emanuel Milman
Quantum expanders and growth of group representations
Gilles Pisier
Random walks in Dirichlet environment: an overview
Christophe Sabot; Laurent Tournier
Diffusion-orthogonal polynomial systems of maximal weighted degree
Lev Soukhanov
Functional SPDE with Multiplicative Noise and Dini Drift
Xing Huang; Feng-Yu Wang

Issue no. 3 Table of Contents

Espace des twisteurs d’une variété quaternionique Kähler généralisée
Guillaume Deschamps
About the analogy between optimal transport and minimal entropy
Ivan Gentil; Christian Léonard; Luigia Ripani
Equivariant triple intersections
Delphine Moussard
Resurgence and highest level’s connection-to-Stokes formulæ for some linear meromorphic differential systems
Pascal Remy
Envelopes of positive metrics with prescribed singularities
Julius Ross; David Witt Nyström

Issue no. 4 Table of Contents

Preface
Dominique Bakry; Serge Cohen; Martin Hairer; Jean-Michel Roquejoffre
Lecture notes on the DiPerna–Lions theory in abstract measure spaces
Luigi Ambrosio; Dario Trevisan
Data assimilation for geophysical fluids
Didier Auroux
Unbounded rough drivers
Ismael Bailleul; Massimiliano Gubinelli
Geometric diffusions of 1-currents
Yann Brenier
Stochastic PDEs, Regularity structures, and interacting particle systems
Ajay Chandra; Hendrik Weber
Stochastic partial differential equations: a rough paths view on weak solutions via Feynman–Kac
Joscha Diehl; Peter K. Friz; Wilhelm Stannat
Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates
Jean Dolbeault; Michał Kowalczyk
Infinite energy solutions of the two-dimensional Navier–Stokes equations
Thierry Gallay
Large scale ocean models beyond the traditional approximation
Carine Lucas; James C. McWilliams; Antoine Rousseau
Particle Filters for nonlinear data assimilation in high-dimensional systems
Peter Jan van Leeuwen

Issue no. 5 Table of Contents

Sur le problème d’équivalence de Cartan
[On the equivalence problem of Cartan]
Bernard Malgrange
Automorphism group of the commutator subgroup of the braid group
Stepan Yu. Orevkov
Canonical q-deformations in arithmetic geometry
Peter Scholze
On the first order asymptotics of partial Bergman kernels
Dan Coman; George Marinescu
A note on Riley polynomials of 2-bridge knots
Teruaki Kitano; Takayuki Morifuji
Algorithmic aspects of branched coverings
Laurent Bartholdi; Dzmitry Dudko