**Preprints**-
NI04019

**JFC Kingman,**The Poisson-Dirichlet distribution and the frequency of large prime devisors (revised)

NI04024**JW Barrett, C Schwab, E S\"uli**Existence of global weak solutions for some polymeric flow models

NI04025**DD Holm, SN Stechmann**Hasimoto transformation and vortex soliton motion driven by fluid helicity

NI04026**M Watkins**Explicit lower bounds on the modular degree of an elliptic curve

NI04027**M Ben-Or, M Horodecki, Leung, D**The universal composable security of quantum key distribution

NI04028**J Drake, M Swisdak, Shay, M**Production of energetic electrons during magnetic reconnection

NI04029**F Cattaneo, NH Brummell, Cline, KS**What is a flux tube? On the magnetic topology of buoyant flux structures

NI04030**AD Gilbert**Advected fields in maps: II. dynamo action in the stretch-fold-shear map

NI04031**AD Gilbert**Advected fields in maps: III. passive scalar decay in baker's maps

NI04032**VA Titarev, EF Toro**MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements

NI04033**EF Toro, VA Titarev**MUSTA schemes for systems of conservation laws

NI04034**E Romenski, AD Resnyansky, Toro, EF**Conservative hyperbolic model for compressible two-phase flow with different phase pressures and temperatures

NI05001**CE Castro, EF Toro**A Riemann solver and upwind methods for a two-phase flow model in non-conservative form

NI05002**K Friedl, G Ivanyos, Santha, M**On the complexity of Sperner's Lemma

NI05003**EF Toro**Riemann solvers with evolved initial conditions

NI05004**EF Toro, VA Titarev**Derivative Riemann solvers for systems of conservation laws and ADER methods

NI05005**JW Barrett, X Feng, Prohl, A**Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation

NI05006**A Onshuus, A Pillay**Definable groups and compact $\it p$-adic Lie groups

NI05007**JFC Kingman**Progress and problems in the theory of regenerative phenomena

NI05008**D Marker**A remark on Zilber's pseudoexponentiation

NI05009**G Dibeh**Target zone dynamics where the fundamental follows a SDE with periodic forcing

NI05010**H Zhang, D Sokoloff, Rogachevskii, I**The radial distribution of magnetic helicity in the solar convective zone: observations and dynamo theory

NI05011**M Monoyios**Esscher transforms and martingale measures in incomplete diffusion models

NI05012**M Monoyios**Characterization of optimal dual measures via distortion

NI05013**R Cont**Model uncertainty and its impact on the pricing of derivative instruments

NI05014**R Cont, P Tankov**Retrieving L\'evy processes from option prices: regularization of an ill-posed inverse problem

NI05015**R Cont**Volatility clustering in financial markets: empirical facts and agent-based models

NI05016**O Fr\'econ**Around unipotence in groups of finite Morley rank

NI05017**A Courvoisier, AD Gilbert, Ponty, Y**Dynamo action in flows with cat's eyes

NI05018**OV Zribi, H Kyung, Golestanian, R**Multivalent ion driven condensation of DNA-actin polyelectrolyte mixtures

NI05019**R Golestanian, TB Liverpool, Ajdari, A**Propulsion of a molecular machine by asymmetric distribution of reaction-products

NI05020**F-V Kuhlmann**Elimination of ramification I: the generalized stability theorem

NI05021**F-V Kuhlmann**Additive polynomials and their role in the model theory of valued fields

NI05022**T Bielecki, M Jeanblanc, Rutkowski, M**Pricing and trading credit default swaps under deterministic intensity

NI05023**T Bielecki, M Jeanblanc, Rutkowski, M**Hedging of credit derivatives in models with totally unexpected default

NI05024**M Aschenbrenner, R Moosa, Scanlon, T**Strongly minimal groups in the theory of compact complex spaces

NI05025**A Berkman, A Borovik, Burdges, J**A generic identification theorem for $L^*$-groups of finite Morley rank

NI05026**A Borovik, J Burdges, Cherlin, G**Involutions in groups of finite Morley rank of degenerate type

NI05027**E Jaligot**Generix never gives up

NI05028**J Pila, AJ Wilkie**The rational points of a definable set

NI05029**MJ Edmundo, GO Jones, Peatfield, NJ**Sheaf cohomology in o-minimal structures

NI05030**Z Robinson**A note on global $\it p$$^t$$^h$ powers of rigid analytic functions

NI05031**N Chen, S Kou**Credit spreads, optimal capital structure, and implied volatility with endogenous default and jump risk

NI05032**F-V Kuhlmann**Maps on ultrametric spaces, Hensel's Lemma, and differential equations over valued fields

NI05033**P Friz, J Gatheral**Valuation of volatility derivatives as an inverse problem

NI05034**A Baudisch, A Martin-Pizarro, Ziegler, M**On fields and colors

NI05035**A Martin-Pizarro, FO Wagner**Supersimplicity and quadratic extensions

NI05036**J-M Lion, P Speissegger**The theorem of the complement for sub-Pfaffian sets

NI05037**E Hrushovski, F Wagner**Counting and Dimensions

NI05038**Y Peterzil, S Starchenko**Complex analytic geometry and analytic-geometric categories

NI05039**Y Peterzil, S Starchenko**Computing o-minimal topological invariants using differential topology

NI05040**R Moosa, P Speissegger, Starchenko, S**Compactness of cycle spaces and definability in o-minimal expansions of \bf R$_a$$_n$

NI05041**AS Cherny**Pricing, optimality, and equilibrium based on coherent risk measures

NI05042**AS Cherny**Weighted V@R and its properties

NI05043**AS Cherny**The Kolmogorov students' competitions on probability theory

NI05044**AL Bronstein, LP Hughston, Pistorius, MR**Discretionary stopping of one-dimentional It\^o diffusions with a staircase payoff function

NI05045**TC Johnson, M Zervos**A discretionary stopping problem with applications to the optimal timing of investment decisions

NI05046**M Gavrilovich,**Model theory of universal covering spaces of complex algebraic varieties

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