**Preprints**NI05047 J Kirby *Exponential and Weierstrass Equations*NI05048 B Zilber *Non-commutative geometry and new stable structures*NI05049 D Macpherson and K Tent *Stable pseudofinite groups*NI05050 D Hasklell E Hrushovski and D Macpherson *Definable sets in algebraically closed valued fields: elimination of imaginaries*NI05051 S Barbina and D Macpherson *Reconstruction of homogeneous relational structures*NI05052 M Dafermos and A Rendall *Inextendibility of expanding cosmological models with symmetry*NI05053 G Galloway and R Schoen *A generalization of Hawking's black hole topology theorem to higher dimensions*NI05054 M Dafermos and G Holzegel *On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes*NI05055 A Merhi and M Zervos *A model for reversible investment capacity expansion*NI05056 TB Liverpool and FC MacKintosh *Inertial effects in the response of viscous and viscoelastic fluids*NI05057 JHP Dawes *Localised convection cells in the presence of a vertical magnetic field*NI05058 T Oliynyk, V Suneeta and E Woolgar *A gradient flow for worldsheet nonlinear sigma models*NI05059 C Bona, L Lehner and C Palenzuela-Luque *Geometrically motivated hyperbolic coordinate conditions for numerical relativity: Analysis issues and implementations*NI05060 L Lehner, SL Liebling and O Reula *AMR stability and higher accuracy*NI05061 PE Ehrlich and SB Kim *The index form of a warped product*NI05062 PT Chrusciel and D Maerten *Killing vectors in asymptotically flat space-times: II asymptotically translational killing vectors and the rigid positive energy theorem in higher dimensions*NI05063 M Bojowald and A Skirzewski *Effective equations of motion for quantum systems*NI05064 M Bojowald, HH Hernandez and HM Tecotl *Perturbative degrees of freedom in loop quantum gravity: anisotrophies*NI05065 M Bojowald and R Swiderski *Spherically symmetric quantum geometry: Hamiltonian constraint*NI05066 P Chrusciel, HS Reall and P Tod *On non-existence of static vacuum black holes with degenerate components of the event horizon*NI05067 PT Chrusciel and P Tod *The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior*NI05068 P Bizon, T Chmaj and A Rostworowski *On vacuum gravitational collapse in nine dimensions*NI05069 KMS Bajaj, N Mukolobwiez and J Oh *Rayleigh-Benard convection in the presence of a radial ramp of the Rayleigh number*NI05070 C Kenig, D Pollack and G Staffilani *The Cauchy problem for Schrodinger flows into Kahler manifolds*NI05071 R Meinel *On the black hole limit of rotating fluid bodies in equilibrium*NI05072 P Allen, L Andersson and J Isenberg *Timelike minimal submanifolds of general co-dimension in Minkowski spacetime*NI05073 JFC Kingman *Progress and problems in the theory of regenerative phenomena*NI05074 JM Heinzle and C Uggla *Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations*NI05075 F Antoneli, APS Dias and PC Matthews *Invariants equivariants and characters in symmetric bifurcation theory*NI05076 P Tsai, ZA Daya and SW Morris *Charge transport scalings in turbulent electroconvection*NI05077 VB Deyirmenjian, ZA Daya and SW Morris *Codimension-two points in annular electroconvection as a function of aspect ratio*NI05078 R Beig and M Wernig-Pichler *On the motion of a compact elastic body*NI05079 R Bartnik and J Isenberg *Spherically symmetric dynamical horizons*NI05080 R Bartnik and P Tod *A note on static metrics*NI05081 PT Chrusciel, R Meinel and SJ Szybka *The Ernst equation and ergosurfaces*NI05082 JJ Tyson, KC Chen and B Novak *Sniffers buzzers toggles and blinkers: dynamics of regulatory and signaling pathways in the cell*NI05083 JJ Tyson, KC Chen and B Novak *Network dynamics and cell physiology*NI05084 W Pesch, L Kramer and N Eber *The role of initial conditions in the decay of spatially periodic patterns in a nematic liquid crystal*NI05085 J Burke and E Knobloch *Localized states in the generalized Swift-Hohenberg equation*NI05086 V Moncrief *An integral equation for spacetime curvature in general relativity*NI05087 V Moncrief *Analytic reductions of self-force calculations in curved spacetimes*NI05088 PT Chrusciel and E Delay *On existence of non-singular vacuum stationary space-times with a negative cosmological constant*NI05089 PT Chrusciel, HS Reall and P Tod *On Israel-Wilson-Perjes black holes*NI06001 JFC Kingman *Poisson processes revisited*NI06002 M Dunajski and S West *Anti-self-dual conformal structures with null Killing vectors from projective structures*NI06003 M Dunajski *Einstein-Maxwell-Dilaton metrics from three-dimensional Einstein-Weyl structures*NI06004 M Dickmann and F Miraglia *Marshall's and Milnor's conjectures for preordered von Neumann regular rings*NI06005 LB Szabados *On a class of 2-surface observables in general relativity*NI06006 L Andersson and J Metzger *Curvature estimates for stable marginally trapped surfaces*NI06007 M Henkel and J Unterberger *Supersymmetric extensions of Schrodinger-invariance*NI06008 O Belegradek and B Zilber *Definable relations in the real field with a distinguished subgroup of the unit circle*NI06009 K Kulesza *On inverting the VMPC one-way function*NI06010 F Baumann, S Stoimenov and M Henkel *Local scale-invariances in the bosonic contact and pair-contact processes*NI06011 CJ Fewster and MJ Pfenning *Quantum energy inequalities and local covariance I: Globally hyperbolic spacetimes*NI06012 J Krajicek *Substitutions into propositional tautologies*NI06013 RKP Zia and B Schmittmann *A possible classification of nonequilibrium steady states*NI06014 M Barma *Driven diffusive systems with disorder*NI06015 W Hodges *Logics of imperfect information: why sets of assignments?*NI06016 M Henkel, T Enss and M Pleimling *On the identification of quasiprimary scaling operators in local scale-invariance*NI06017 V Dalmau and A Krokhin *Majority constraints have bounded pathwidth duality*NI06018 VA Titarev, E Romenski and EF Toro *Exact Riemann problem solutions and upwind fluxes for nonlinear elasticity*NI06019 D Andersson and S Vorobyov *Fast algorithms for monotonic discounted linear programs with two variables per inequality*NI06020 R Bernetti, VA Titarev and EF Toro *Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry*NI06021 Y Choquet-Bruhat and H Friedrich *Motion of isolated bodies*NI06022 J Krajicek, A Skelley and N Thapen *NP search problems in low fragments of bounded arithmetic*NI06023 F Boerner, A Bulatov and H Chen *The complexity of constraint satisfaction games and QCSP*NI06024 G Kun and J Nesetril *Forbidden lifts (NP and CSP for combinatorists)*NI06025 N Alechina and D Shkatov *Logics with an existential modality*NI06026 MR Evans, T Hanney and SN Majumdar *Interaction driven real-space condensation*NI06027 K Sugden, MR Evans and WCK Poon *A stochastic model for hyphal growth*NI06028 W Harwood, F Moller and A Setzer *Weak bisimulation approximants*NI06029 LF Dinu *Multidimensional wave-wave regular interactions and genuine nonlinearity: some remarks*NI06030 H Friedrich *Static vacuum solutions from convergent null data expansions at space-like infinity*NI06031 JFC Kingman *Spectra of positive matrices and the Markov group conjecture*NI06032 J Louko and A Satz *How often does the Unruh-DeWitt detector click?*

Regularisation by a spatial profileNI06034 B Helffer *Four lectures in semiclassical analysis for non self-adjoint problems with applications to hydrodynamic instability*NI06035 GM Schutz and RJ Harris *Hydrodynamics of the zero-range process in the condensation regime*NI06037 S Lindell *A normal form for first-order logic over doubly-linked data structures*NI06038 A Rakos, E Levine and D Mukamel *Dynamical scaling for probe particles in a driven fluid*NI06039 A Bar, Y Kafri and D Mukamel *Loop dynamics in DNA denaturation*NI06040 S Cook and J Krajicek *Consequences of the Provability of NP subset P/poly*NI06041 D Kreimer *Dyson Schwinger equations: From Hopf algebras to number theory*NI06042 J Louko and A Satz *Excited by a quantum field: Does shape matter?*NI06045 Y Choquet-Bruhat, J Isenberg and D Pollack *The constraint equations for the Einstein-scalar field system on compact manifolds*NI06046 R Beig and PT Chrusciel *The asymptotics of stationary electro-vacuum metrics in odd space-time dimensions*NI06047 M Dafermos and AD Rendall *Strong cosmic censorship for T2 -symmetric cosmological spacetimes with collisionless matter*NI06048 M Dunajski and S West *Anti-self-dual conformal structures in neutral signature*NI06049 M Brozos-Vázquez and P Gilkey *Complex Osserman algebraic curvature tensors and Clifford families*NI06052 P Hell and J Nesetril *On the density of Trigraph Homomorphisms*NI06054 S Dantchev, B Martin and S Szeider *Parameterized proof complexity: A complexity gap for parameterized tree-like resolution*

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