Issue 1

• Cartan subalgebras of operator ideals by Daniel Beltita, Sasmita Patnaik, and Gary Weiss
• A hierarchy of Banach spaces with C(K) Calkin algebras by Pavlos Motakis, Daniele Puglisi, and Despoina Zisimopoulou
• Characterizing the dual mixed volume via additive functionals by Paulo Dulio, Richard Gardner, and Carla Peri
• Vertical flows and a general currential homotopy formula by and Daniel F Cibotaru
• A game-theoretic proof of convexity preserving properties for motion by curvature by Qing Liu, Armin Schikorra, and Xiaodan Zhou
• Saddle solutions to Allen-Cahn equations in doubly periodic media by Francesca Alessio, Changfeng Gui, and Piero Montecchiari
• Convergence of multipole Green functions by Dieu Quang Nguyen, and Pascal Thomas
• Approximation of pseudo-differential flows by and Benjamin Texier
• Henon type equations and concentration on spheres by Filomena Pacella, and Ederson Moreira dos Santos
• Quantum Eberlein compactifications and invariant means by Matthew Daws, and Biswarup Das
• Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of non-positive curvature by Tom Carroll, and Jesse Ratzkin

Issue 2

• A note on the optimal constants in Korn's and geometric rigidity estimates in bounded and unbounded domains by Marta Lewicka, and Stefan Muller
• Global Monge-Ampère equation with asymptotically periodic data by Eduardo Teixeira, and Lei Zhang
• Weighted discrete hypergroups by Mahmood Alaghmandan, and Ebrahim Samei
• Existence of non-topological solutions for a skew-symmetric Chern-Simons system by Chang-shou Lin, and Genggeng Huang
• Existence and asymptotic behavior of solutions to a semilinear hyperbolic-parabolic model of chemotaxis by and Cristiana Di Russo
• On the global regularity for the supercritical SQG equation by Michele Coti Zelati, and Vlad Vicol
• Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics by Xueli Bai, and Michael Winkler
• Rigidity of almost-isometric universal covers by Benjamin Schmidt, Jean-francois Lafont, and Aditi Kar
• Quantitative weighted mixed weak-type inequalities for classical operators by Sheldy Ombrosi, Carlos Perez, and Jorgelina Recchi
• Homology classes of semi-algebraic sets and mass minimization by and Quentin Funk
• Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations by Hai-Liang Li, Tong Yang, and Mingying Zhong
• The two-phase parabolic Signorini problem by Mark Allen, and Wenhui Shi

Issue 3

• A note on the Gauss curvature flow by and Mohammad Najafi Ivaki
• On discrete rarefaction waves in an NLS toy model for weak turbulence by Sebastian Herr, and Jeremy Marzuola
• Ground states of elliptic problems involving non homogeneous operators by Humberto Ramos Quoirin, and Giovany Figueiredo
• On the signed small ball inequality with restricted coefficients by and Dimitrios Karslidis
• Stable capillary hypersurfaces in a half-space or a slab by Abdelhamid Ainouz, and Rabah Souam
• Doubling property of self-affine measures on carpets of Bedford and McMullen by and Sheng Wen
• Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition by Kazuhiro Kurata, and Shuichi Jimbo
• Automorphisms of free products and their application to multivariable dynamics by and Christopher Ramsey
• Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum by Boqiang Lv, Xiaoding Shi, and Xinying Xu
• Weakly differentiable functions on varifolds by and Ulrich Menne

Issue 4

• Vertical Morse-Bott-Smale flows and characteristics forms by and Daniel F Cibotaru
• Nonlinear stability of large perturbation around viscous shock wave for 2-D scalar viscous conservation law by Renkun Shi, and Weike Wang
• Stochastic Navier-Stokes equations for compressible fluids by Martina Hofmanova, and Dominic Breit
• Inertia of Loewner matrices by Rajendra Bhatia, Shmuel Friedland, and Tanvi Jain
• Binary operations in spherical convex geometry by Franz Schuster, and Florian Besau
• Isometrically homogeneous and topologically homogeneous continua by and Janusz Prajs
• Stability of time-dependent Navier-Stokes flow and algebraic energy decay by Toshiaki Hishida, and Maria Elena Schonbek
• Intersection theory and the Alesker product by and Joseph Fu
• Korn-Poincare inequalities for functions with a small jump set by Antonin Chambolle, Sergio Conti, and Gilles Francfort
• Chromatic numbers of hyperbolic surfaces by Hugo Parlier, and Camille Petit
• Atomic blocks for noncommutative martingales by Jose M Conde-Alonso, and Javier Parcet

Issue 5

• Well-posedness and uniform stability for nonlinear Schrodinger equations with dynamic/Wentzell boundary conditions by Marcelo Cavalcanti, Wellington J. Correa, Irena Lasiecka, and Christopher Lefler
• On minimizers of the Hamiltonian system $u''=\nabla W(u)$ and on the existence of heteroclinic, homoclinic and periodic orbits by Panayotis Smyrnelis, and Panagiotis Antonopoulos
• On uniqueness of heat flow of harmonic maps by Changyou Wang, and Tao Huang
• Inhomogeneous self-affine carpets by and Jonathan Fraser
• Hardy space estimates for bilinear square functions and Calderon-Zygmund operators by Jarod Hart, and Guozhen Lu
• $L_p$-improving convolution operators on finite quantum groups by and Simeng Wang
• Weighted BMO and Hankel operators between Bergman spaces by Jordi Pau, Ruhan Zhao, and Kehe Zhu
• Regularity of Loewner curves by Joan Lind, and Huy Tran
• Linear idempotents in Matsuo algebras by and Felix Rehren
• Quaternionic Hankel operators and approximation by slice regular functions by and Giulia Sarfatti
• Equidistribution of zeros of random holomorphic sections by and Turgay Bayraktar
• An analogue of the Levy-Hincin formula for bi-free infinitely divisible distributions by Hao-wei Huang, James Mingo, and Yinzheng Gu

Issue 6

• Stability of superposition of viscous contact wave and rarefaction waves for compressible Navier-Stokes system by Teng Wang, and Feimin Huang
• Euclidean regularization in John's position by Apostolos Giannopoulos, and Giorgos Chasapis
• Semiconcavity of viscosity solutions for a class of degenerate elliptic integro-differential equations in $\mathbb R^n$ by and Chenchen Mou
• Four-dimensional neutral signature self-dual gradient Ricci solitons by Eduardo Garcia-rio, and Miguel Brozos-Vazquez
• Approximability of dynamical systems between trees of spheres by and Matthieu Arfeux
• Improved convergence theorems for bubble clusters. I. The planar case by Marco Cicalese, Gian Paolo Leonardi, and Francesco Maggi
• Subvarieties of the tetrablock and von Neumann's inequality by and Sourav Pal
• Function field analogues of Bang--Zsigmondy's theorem and Feit's theorem by and Dong Quan Ngoc Nguyen
• On volume set of boxes in finite spaces by Do Duy Hieu, and Anh vinh Le
• Phase transitions on the Toeplitz algebras of Baumslag-Solitar semigroups by Iain Raeburn, Lisa Orloff Clark, and Astrid an Huef