Issue 1

- Numerical invariants for commuting isometric pairs by Wei He, Yueshi Qin, and Rongwei Yang
- Assouad dimension, Nagata dimension, and uniformly close metric tangents by Enrico Le Donne, and Tapio Rajala
- On Carleman estimates with two large parameters by and Jerome Le rousseau
- On the commability and quasi-isometry classification of focal groups by and Yves Cornulier
- Self-mappings of the quaternionic unit ball: multiplier properties, the Schwarz-Pick inequality, and the Nevanlinna-Pick interpolation problem by Irene Sabadini, Daniel Alpay, Vladimir Bolotnikov, and Fabrizio Colombo
- Global-in-time behavior of Lotka-Volterra system with diffusion by Takashi Suzuki, and Yoshio Yamada
- Traces and residues by and Amnon Neeman
- Hereditary convexity for harmonic homeomorphisms by and Ngin-tee Koh
- An algebraic Sato-Tate group and Sato-Tate conjecture by Grzegorz Banaszak, and Kiran Kedlaya
- Invariance of almost-orthogonal systems between weighted spaces: the non-compact support case by and James Wilson
- Characterization of product-type actions with the Rokhlin properties by and Qingyun Wang
- Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity by Anne Bronzi, Helena Judith Nussenzveig Lopes, and Milton da Costa Lopes Filho

- Compressible Euler equation with damping on Torus in arbitrary dimensions by and Nan Lu
- On elimination of variables in the study of singularities in positive characteristic by Angelica Benito, and Orlando Eugenio Villamayor Uriburu
- Homogeneous kernels and self similar sets by Vasilis Chousionis, and Mariusz Urbanski
- A spatially localized $L \\log L$ estimate on the vorticity in the 3D NSE by Zoran Grujic, and Zachary Bradshaw
- Finite-time blow-up for the heat flow of pseudoharmonic maps by Ting-hui Chang, and Shu-Cheng Chang
- Similarity of matrices over local rings of length two by Amritanshu Prasad, Pooja Singla, and Steven Spallone
- A coordinate free characterization of certain quasidiagonal operators by and March Boedihardjo
- Adjunction for the Grauert-Riemenschneider canonical sheaf and extension of L2-cohomology classes by Jean Ruppenthal, Hakan Samuelsson Kalm, and Elizabeth Wulcan
- Nuclear dimension and sums of commutators by and Leonel Robert
- Spherical tuples of Hilbert space operators by Dmitry Yakubovich, and Sameer Chavan
- Gevrey hypoellipticity for sums of squares of vector fields in $ \R^2 $ with quasi-homogeneous polynomial vanishing by David Tartakoff, and Antonio Bove
- Expansion of co-compact convex spacelike hypersurfaces in Minkowski space by their curvature by Ben Andrews, Xuzhong Chen, Hanlong Fang, and James McCoy

- On the problem of characterizing multipliers for the Drury-Arveson space by Jingbo Xia, and Quanlei Fang
- Uniform regularity estimates in parabolic homogenization by Zhongwei Shen, and Jun Geng
- Dual Affine invariant points by Elisabeth Werner, Mathieu Meyer, and Carsten Schuett
- Proper holomorphic mappings into $\\ell$-concave quadric domains in projective space by and Peter Ebenfelt
- Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$ by Peter Polacik, and Yihong Du
- Completely bounded isomorphisms of operator algebras and similarity to complete isometries by and Raphael Clouatre
- Operator Theory on Symmetrized Bidisc by and Jaydeb Sarkar
- Metastability for parabolic equations with drift: part 1 by Hitoshi Ishii, and Panagiotis E. Souganidis
- The weak Cartan property for the p-fine topology on metric spaces by Anders Bjorn, Jana Bjorn, and Visa Latvala
- Combinatorial negative curvature and triangulations of 3-manifolds by and Damian Osajda
- Weighted norm inequalities for fractional maximal operators - a Bellman function approach by Rodrigo Banuelos, and Adam Osekowski

- Compact Product of Hankel and Toeplitz Operators on the Hardy space by and Cheng Chu
- Virtually symplectic fibered 4-manifolds by Stefan Friedl, and Inanc Baykur
- Analytic Campanato Spaces and Their Compositions by Jie Xiao, and Cheng Yuan
- Direct and reverse Carleson measures for $\mathscr{H}(b)$ spaces by Alain Blandigneres, Emmanuel Fricain, Frederic Gaunard, Andreas Hartmann, and William Ross
- On Second Order Beltrami Systems 2 by and Aleksis Koski
- On the AJ conjecture for knots by Anh T. Tran, and Thang T.Q. Le
- Remarks on Wilmshurst's theorem by Seung-Yeop Lee, Antonio Lerario, and Erik Lundberg
- Well-Posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity by Angel Castro, and David Lannes
- Traces of functions of bounded deformation by and Jean-Francois Babadjian

- On the energy behavior of locally self-similar blowup for the Euler equation by Anne Bronzi, and Roman Shvydkoy
- Preservation of bounded geometry under sphericalization and flattening by Xining Li, and Nageswari Shanmugalingam
- A new aspect of the Arnold invariant J+ from a global viewpoint by Kenta Hayano, and Noboru Ito
- On the singular scheme of split foliations by Marcos Jardim, Mauricio Correa Jr., and Renato Vidal Martins
- Thin-film limits of functionals on A-free vector fields by Carolin Kreisbeck, and Filip Rindler
- Minimal isometric immersions into S^2 x R and H^2 x R by and Benoit Daniel
- On the extremals of the Polya-Szego inequality by Almut Burchard, and Adele Ferone
- The spectrum of an Adelic Markov operator by and Andreas Knauf
- The mixed $L_p$ geominimal surface areas for multiple convex bodies by Deping Ye, Baocheng Zhu, and Jiazu Zhou
- Localization and compactness in Bergman and Fock spaces by Joshua Isralowitz, Mishko Mitkovski, and Brett D. Wick
- C^\infty regularity of certain thin free boundaries by Daniela DeSilva, and Ovidiu Savin

- A new formulation for the 3-D Euler equations with an application to subsonic flows in a cylinder by and Shangkun Weng
- A characterization at infinity of bounded vorticity, bounded velocity solutions to the 2D Euler equations by and James Kelliher
- Volume fluctuations of random analytic varieties in the unit ball by Xavier Massaneda, and Bharti Pridhnani
- On the role of Riesz potentials in Poisson's equation and Sobolev embeddings by Daniel Spector, and Rahul Garg
- Degenerate complex Hessian equations on compact Kahler manifolds by Chinh Lu, and Dong Van Nguyen
- Uniqueness of topological vortex in a self-dual Maxwell-Chern-Simons-Higgs system by Jann-long Chern, and Sze-Guang Yang
- On the kinetic Fokker-Planck equation in the half-space with absorbing barriers by Hyung ju Hwang, Juhi Jang, and Jaewoo Jung
- Equidistribution for meromorphic maps with dominant topological degree by Tien-Cuong Dinh, Viet anh Nguyen, and Tuyen Trung Truong
- Capacity dimension of the Brjuno set by Azimbay Sadullaev, and K. Rakhimov
- On the Lagrangian description of absolutely continuous curves in the Wasserstein space on the line; well-posedness for the Continuity Equation by Adrian Tudorascu, and Mohamed Amsaad
- Ionescu's theorem for higher-rank graphs by John Quigg, Steve Kaliszewski, and Adam Morgan
- Algebraic groups and compact generation of their derived categories of representations by Jack Hall, and David Rydh
- On Solutions of the 2D Navier-Stokes Equations with Constant Energy and Enstrophy by Bingsheng Zhang, and Jing Tian