Description:Articles in this volume:1-48From Open Quantum Systems to Open Quantum MapsStéphane Nonnenmacher, Johannes Sjöstrand and Maciej Zworski49-68Generalized Pseudo-Kähler StructuresJohann Davidov, Gueo Grantcharov, Oleg Mushkarov and Miroslav Yotov69-93Colored Group Field TheoryRazvan Gurau95-123Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field TheoriesDetlev Buchholz, Gandalf Lechner and Stephen J. Summers125-174The Spectral Action and Cosmic TopologyMatilde Marcolli, Elena Pierpaoli and Kevin Teh175-186Spectral Properties of the Renormalization Group at Infinite TemperatureMei Yin187-228On a Correspondence between SUq(2), Eq(2)SUq(2)Eq(2) and (SU)q(1,1)SUq(11)Kenny De Commer229-280Hilbert Expansion from the Boltzmann Equation to Relativistic FluidsJared Speck and Robert M. Strain281-293Comment on “Random Quantum Circuits are Approximate 2-designs” by A.W. Harrow and R.A. Low (Commun. Math. Phys. 291, 257–302 (2009))Igor Tuche Diniz and Daniel Jonathan295-328Rigidity and Non-local Connectivity of Julia Sets of Some Quadratic PolynomialsGenadi Levin329-368On Vanishing Theorems for Vector Bundle Valued p-Forms and their ApplicationsYuxin Dong and Shihshu Walter Wei369-393Distortion of the Poisson Bracket by the Noncommutative Planck ConstantsArtur E. Ruuge and Freddy Van Oystaeyen395-409Poincaré Polynomial of Moduli Spaces of Framed Sheaves on (Stacky) Hirzebruch SurfacesUgo Bruzzo, Rubik Poghossian and Alessandro Tanzini411-432Equivalences Between GIT Quotients of Landau-Ginzburg B-ModelsEd Segal433-457Non-Abelian Multiple Vortices in Supersymmetric Field TheoryChang-Shou Lin and Yisong Yang459-498Local Causal Structures, Hadamard States and the Principle of Local Covariance in Quantum Field TheoryClaudio Dappiaggi, Nicola Pinamonti and Martin Porrmann499-511Twistor Theory on a Finite GraphPaul Baird and Mohammad Wehbe513-581Global Existence and Full Regularity of the Boltzmann Equation Without Angular CutoffR. Alexandre, Y. Morimoto, S. Ukai, C. -J. Xu and T. Yang583-584Erratum to: Equilibrium States for Interval Maps: Potentials with sup f- inf f < htop (f)−infhtop(f)Henk Bruin and Mike Todd585-635Boundary Value Problems for the Stationary Axisymmetric Einstein Equations: A Disk Rotating Around a Black HoleJonatan Lenells637-647Construction of N-Body Initial Data Sets in General RelativityPiotr T. Chruściel, Justin Corvino and James Isenberg649-664The Aggregation Equation with Power-Law Kernels: Ill-Posedness, Mass Concentration and Similarity SolutionsHongjie Dong665-688Ergodicity of Some Open Systems with Particle-Disk InteractionsTatiana Yarmola689-709Comparison Between the Cramer-Rao and the Mini-max Approaches in Quantum Channel EstimationMasahito Hayashi711-722Phase Transitions with Four-Spin InteractionsJoel L. Lebowitz and David Ruelle723-763Local Statistics of Realizable Vertex ModelsZhongyang Li765-796Categorical Formulation of Finite-Dimensional Quantum AlgebrasJamie Vicary797-874Elliptic Hypergeometry of Supersymmetric DualitiesV. P. Spiridonov and G. S. Vartanov875-878Erratum to: Integral Formulas for the Asymmetric Simple Exclusion ProcessCraig A. Tracy and Harold Widom