Siste publikasjoner

• Omland, Tron (2019). Dynamical systems and operator algebras associated to Artin's representation of braid groups. Journal of operator theory.  ISSN 0379-4024.
• Agram, Nacira; Øksendal, Bernt & Yakhlef, Samia (2019). New approach to optimal control of stochastic Volterra integral equations. Stochastics: An International Journal of Probability and Stochastic Processes.  ISSN 1744-2508.
• Erhardt, André Henrik (2019). Early afterdepolarisations induced by an enhancement in the calcium current. Processes.  ISSN 2227-9717.  7(1), s 1- 16 . doi: 10.3390/pr7010020
• Vollestad, Petter; Ayati, Anis Awal; Angheluta, Luiza; Lacasce, Joseph Henry & Jensen, Atle (2019). Experimental investigation of airflow above waves in a horizontal pipe. International Journal of Multiphase Flow.  ISSN 0301-9322.  110, s 37- 49 . doi: 10.1016/j.ijmultiphaseflow.2018.08.008
• Shaw, Kristin & Kummer, Mario (2019). The separating semigroup of a real curve. Annales de la Faculté des Sciences de Toulouse.  ISSN 0240-2963.
• Agram, Nacira & Øksendal, Bernt (2019). Model uncertainty stochastic mean-field control. Stochastic Analysis and Applications.  ISSN 0736-2994. . doi: 10.1080/07362994.2018.1499036
• Floater, Michael S. & Sande, Espen (2019). Optimal spline spaces for L2 n-width problems with boundary conditions. Constructive approximation.  ISSN 0176-4276.  s 1- 18 . doi: 10.1007/s00365-018-9427-5 Fulltekst i vitenarkiv.
• Benth, Fred Espen & Suss, Andre (2018). Continuous-Time Autoregressive Moving-Average Processes in Hilbert Space, In Elena Celledoni; Giulia Di Nunno; Kurusch Ebrahimi-Fard & Hans Munthe-Kaas (ed.),  Computation and Combinatorics in Dynamics, Stochastics and Control.  Springer.  ISBN 978-3-030-01592-3.  kapittel 11.  s 297 - 320
• Kiran, Pallavi; Bhatia, Sumati; Lauster, Daniel; Aleksić, Stevan; Fleck, Carsten; Peric, Natalija; Maison, Wolfgang; Liese, Susanne; Keller, Bettina G.; Herrmann, Andreas & Haag, Rainer (2018). Exploring rigid and flexible core trivalent sialosides for influenza virus inhibition. Chemistry - A European Journal.  ISSN 0947-6539.  24(72), s 19373- 19385 . doi: 10.1002/chem.201804826
• Neshveyev, Sergey & Yamashita, Makoto (2018). Categorically Morita Equivalent Compact Quantum Groups. Documenta Mathematica.  ISSN 1431-0643.  23, s 2165- 2216 . doi: 10.25537/dm.2018v23.2165-2216
• Baños, David; Di Nunno, Giulia; Haferkorn, Hannes Hagen & Proske, Frank Norbert (2018). Stochastic functional differential equations and sensitivity to their initial path, In Elena Celledoni; Giulia Di Nunno; Kurusch Ebrahimi-Fard & Hans Munthe-Kaas (ed.),  Computation and Combinatorics in Dynamics, Stochastics and Control.  Springer.  ISBN 978-3-030-01592-3.  2.  s 37 - 70
• Laudal, Olav Arnfinn (2018). Noncommutative deformations of thick points. The Journal of Singularities.  ISSN 1949-2006.  18, s 427- 439 . doi: 10.5427/jsing.2018.18v
• Valen-Sendstad, Kristian; Bergersen, Aslak Wigdahl; Shimogonya, Yuji; Goubergrits, Leonid; Bruening, Jan; Pallares, Jordi; Cito, Salvatore; Piskin, Senol; Pekkan, Kerem; Geers, Arjan J.; Larrabide, Ignacio; Rapaka, Saikiran; Mihalef, Viorel; Fu, Wenyu; Qiao, Aike; Jain, Kartik; Roller, Sabine; Mardal, Kent-Andre; Kamakoti, Ramji; Spirka, Thomas; Ashton, Neil; Revell, Alistair; Aristokleous, Nicolas; Houston, J. Graeme; Tsuji, Masanori; Ishida, Fujimaro; Menon, Prahlad G.; Browne, Leonard D.; Broderick, Stephen; Shojima, Masaaki; Koizumi, Satoshi; Barbour, Michael; Aliseda, Alberto; Morales, Hernan G.; Lefèvre, Thierry; Hodis, Simona; Al-Smadi, Yahia M.; Tran, Justin S.; Marsden, Alison L.; Vaippummadhom, Sreeja; Einstein, G. Albert; Brown, Alistair G.; Debus, Kristian; Niizuma, Kuniyasu; Rashad, Sherif; Sugiyama, Shin-ichiro; Khan, M. Owais; Updegrove, Adam R.; Shadden, Shawn C.; Cornelissen, Bart M.W.; Majoie, Charles B.L.M.; Berg, Philipp; Saalfield, Sylvia; Kono, Kenichi & Steinman, David A. (2018). Real-world variability in the prediction of intracranial aneurysm wall shear stress: The 2015 international aneurysm CFD challenge. Cardiovascular Engineering and Technology.  ISSN 1869-4098.  9(4), s 544- 564 . doi: 10.1007/s13239-018-00374-2
• Ibrahim, Noor Adilah (2018). Statistical analysis of photovoltaic and wind power generation. Journal of Energy Markets.  ISSN 1756-3615.  11(3), s 43- 69 . doi: 10.21314/JEM.2018.178
• Gomes Marques, Reinaldo Antonio; da Silva, W.; Hoffmann, R.; Dutra, J. & Coral, Fredy (2018). Sequential state inference of engineering systems through the particle move-reweighting algorithm. Computational and Applied Mathemathics.  ISSN 2238-3603.  37, s 220- 236 . doi: 10.1007/s40314-017-0506-1
• Bressan, Andrea & Juttler, Bert (2018). Inf-sup stability of isogeometric Taylor-Hood and Sub-Grid methods for the Stokes problem with hierarchical splines. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  38(2), s 955- 975 . doi: 10.1093/imanum/drx031
• Hofmanova, Martina; Leahy, James-Michael & Nilssen, Torstein Kastberg (2018). On the Navier–Stokes equation perturbed by rough transport noise. Journal of evolution equations (Printed ed.).  ISSN 1424-3199.  19(1), s 203- 247 . doi: 10.1007/s00028-018-0473-z
• Neshveyev, Sergey & Yamashita, Makoto (2018). A Few Remarks on the Tube Algebra of a Monoidal Category. Proceedings of the Edinburgh Mathematical Society.  ISSN 0013-0915.  61(3), s 735- 758 . doi: 10.1017/S0013091517000426
• Laca, Marcelo; Larsen, Nadia S. & Neshveyev, Sergey (2018). Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras. Journal of Geometry and Physics.  ISSN 0393-0440.  136, s 268- 283 . doi: 10.1016/j.geomphys.2018.09.018
• Kwasniewski, Bartosz K. & Larsen, Nadia S. (2018). Nica–Toeplitz algebras associated with product systems over right LCM semigroups. Journal of Mathematical Analysis and Applications.  ISSN 0022-247X.  470(1), s 532- 570 . doi: 10.1016/j.jmaa.2018.10.020
• Lamorgese, Leonardo Cameron; Mannino, Carlo; Pacciarelli, Dario & Krasemann, Johanna Törnquist (2018). Train Dispatching, In Ralf Borndörfer; Torsten Klug; Leonardo Lamorgese; Carlo Mannino; Markus Reuther & Thomas Schlechte (ed.),  Handbook of optimization in the railway industry.  Springer.  ISBN 978-3-319-72153-8.  artikkel.  s 265 - 283 Fulltekst i vitenarkiv. Vis sammendrag

  Train rescheduling problems have received significant attention in the operations research community during the past 20–30 years. These are complex problems with many aspects and constraints to consider. This chapter defines the problem and summarizes the variety of model types and solution approaches developed over the years, in order to address and solve the train dispatching problem from the infrastructure manager perspective. Despite all the research efforts, it is, however, only very recently that the railway industry has made significant attempts to explore the large potential in using optimization-based decision-support to facilitate railway traffic disturbance management. This chapter reviews state-of-practice and provides a discussion about the observed slow progress in the application of optimization-based methods in practice. A few successful implementations have been identified, but their performance as well as the lessons learned from the development and implementation of those system are unfortunately only partly available to the research community, or potential industry users

• Biagini, Francesca; Meyer-Brandis, Thilo; Øksendal, Bernt & Paczka, Krzysztof Jaroslaw (2018). Optimal control with delayed information flow of systems driven by G-Brownian motion. Probability, Uncertainty and Quantitative Risk.  ISSN 2367-0126.
• Agrell, Christian; Eldevik, Simen; Hafver, Andreas; Pedersen, Frank Børre; Stensrud, Erik & Huseby, Arne (2018). Pitfalls of machine learning for tail events in high risk environments, In Stein Haugen; Anne Barros; Coen van Gulijk; Trond Kongsvik & Jan Erik Vinnem (ed.),  Safety and Reliability – Safe Societies in a Changing World. Proceedings of ESREL 2018, June 17-21, 2018, Trondheim, Norway.  CRC Press.  ISBN 9781351174657.  285.  s 3043 - 3051 Vis sammendrag

  Most of today’s Machine Learning (ML) methods and implementations are based on correlations, in the sense of a statistical relationship between a set of inputs and the output(s) under inves- tigation. The relationship might be obscure to the human mind, but through the use of ML, mathematics and statistics makes it seemingly apparent. However, to base safety critical decisions on such methods suffer from the same pitfalls as decisions based on any other correlation metric that disregards causality. Causality is key to ensure that applied mitigation tactics will actually affect the outcome in the desired way. This paper reviews the current situation and challenges of applying ML in high risk environments. It further outlines how phenomenological knowledge, together with an uncertainty-based risk perspective can be incorporated to alleviate the missing causality considerations in current practice.

• Bedos, Erik Christopher; Kaliszewski, Steve; Quigg, John & Spielberg, Jack (2018). On finitely aligned left cancellative categories, Zappa-Szép products and Exel-Pardo algebras. Theory and Applications of Categories.  ISSN 1201-561X.  33(42), s 1346- 1406
• Helmer, Martin & Nødland, Bernt Ivar Utstøl (2018). Polar degrees and closest points in codimension two. Journal of Algebra and its Applications.  ISSN 0219-4988. . doi: 10.1142/S0219498819500956 Vis sammendrag

  Suppose that X_ A⊂P^n−1 is a toric variety of codimension two defined by an (n−2)×n integer matrix A, and let B be a Gale dual of A. In this paper, we compute the Euclidean distance degree and polar degrees of XA (along with other associated invariants) combinatorially working from the matrix B. Our approach allows for the consideration of examples that would be impractical using algebraic or geometric methods. It also yields considerably simpler computational formulas for these invariants, allowing much larger examples to be computed much more quickly than the analogous combinatorial methods using the matrix A in the codimension two case.

• Sørensen, Øystein; Hellton, Kristoffer Herland; Frigessi Di Rattalma, Arnoldo & Thoresen, Magne (2018). Covariate Selection in High-Dimensional Generalized Linear Models With Measurement Error. Journal of Computational And Graphical Statistics.  ISSN 1061-8600.  27(4), s 739- 749 . doi: 10.1080/10618600.2018.1425626 Vis sammendrag

  In many problems involving generalized linear models, the covariates are subject to measurement error. When the number of covariates p exceeds the sample size n, regularized methods like the lasso or Dantzig selector are required. Several recent papers have studied methods which correct for measurement error in the lasso or Dantzig selector for linear models in the p > n setting. We study a correction for generalized linear models, based on Rosenbaum and Tsybakov’s matrix uncertainty selector. By not requiring an estimate of the measurement error covariance matrix, this generalized matrix uncertainty selector has a great practical advantage in problems involving high-dimensional data. We further derive an alternative method based on the lasso, and develop efficient algorithms for both methods. In our simulation studies of logistic and Poisson regression with measurement error, the proposed methods outperform the standard lasso and Dantzig selector with respect to covariate selection, by reducing the number of false positives considerably. We also consider classification of patients on the basis of gene expression data with noisy measurements. Supplementary materials for this article are available online.

• Kaliszewski, S; Larsen, Nadia S. & Quigg, John (2018). Subgroup Correspondences. Proceedings of the Edinburgh Mathematical Society.  ISSN 0013-0915.  61(4), s 1127- 1154 . doi: 10.1017/S0013091518000317
• Mannino, Carlo; Nakkerud, Andreas; Sartor, Giorgio & Schittekat, Patrick (2018). Hotspot Resolution with Sliding Window Capacity Constraints using the Path&Cycle Algorithm. SESAR Innovation Days.  ISSN 0770-1268. Fulltekst i vitenarkiv. Vis sammendrag

  We extend the new, efficient Path&Cycle formulation for the Hotspot Problem with two methods for dealing with windowed capacity constraints. We also discuss how to combine constraints to allow two-level capacity restricions for peak and average load respectively. Finally, we present computational results for the sliding window capacity constraint.

• Frauendiener, Jörg (2018). Conformal Infinity – Development and Applications, In David E. Rowe; Scott A. Walter & Tilman Sauer (ed.),  Beyond Einstein.  Springer Science+Business Media B.V..  ISBN 978-1-4939-7706-2.  Kapittel 16.  s 451 - 473
• Normann, Dag & Sanders, Sam (2018). On the mathematical and foundational significance of the uncountable. Journal of Mathematical Logic.  ISSN 0219-0613.  18(2) . doi: 10.1142/S0219061319500016
• Bauer, Martin; Meyer-Brandis, Thilo & Proske, Frank Norbert (2018). Strong solutions of mean-field stochastic differential equations with irregular drift. Electronic Journal of Probability.  ISSN 1083-6489.  23(132), s 1- 35 . doi: 10.1214/18-EJP259
• Kügler, Philipp; Erhardt, André Henrik & Bulelzai, Mak (2018). Early afterdepolarizations in cardiac action potentials as mixed mode oscillations due to a folded node singularity. PLoS ONE.  ISSN 1932-6203.  13(12), s 1- 22 . doi: 10.1371/journal.pone.0209498
• Hubin, Aliaksandr; Storvik, Geir Olve & Frommlet, Florian (2018). A Novel Algorithmic Approach to Bayesian Logic Regression. Bayesian Analysis.  ISSN 1936-0975. . doi: 10.1214/18-BA1141 Vis sammendrag

  Logic regression was developed more than a decade ago as a tool to construct predictors from Boolean combinations of binary covariates. It has been mainly used to model epistatic effects in genetic association studies, which is very appealing due to the intuitive interpretation of logic expressions to describe the interaction between genetic variations. Nevertheless logic regression has (partly due to computational challenges) remained less well known than other approaches to epistatic association mapping. Here we will adapt an advanced evolutionary algorithm called GMJMCMC (Genetically modified Mode Jumping Markov Chain Monte Carlo) to perform Bayesian model selection in the space of logic regression models. After describing the algorithmic details of GMJMCMC we perform a comprehensive simulation study that illustrates its performance given logic regression terms of various complexity. Specifically GMJMCMC is shown to be able to identify three-way and even four-way interactions with relatively large power, a level of complexity which has not been achieved by previous implementations of logic regression. We apply GMJMCMC to reanalyze QTL (quantitative trait locus) mapping data for Recombinant Inbred Lines in Arabidopsis thaliana and from a backcross population in Drosophila where we identify several interesting epistatic effects. The method is implemented in an R package which is available on github.

• Kanduc, Matej; Eixeres, Laila; Liese, Susanne & Netz, Roland R. (2018). Generalized line tension of water nanodroplets. Physical review. E.  ISSN 2470-0045.  98(3) . doi: 10.1103/PhysRevE.98.032804
• Maclagan, Diane & Rincon, Felipe (2018). Tropical ideals. Compositio Mathematica.  ISSN 0010-437X.  154(3), s 640- 670 . doi: 10.1112/S0010437X17008004
• Biagini, Francesca; Mazzon, Andrea & Meyer-Brandis, Thilo (2018). Liquidity induced asset bubbles via flows of ELMMs. SIAM Journal on Financial Mathematics.  ISSN 1945-497X.  9(2), s 800- 834 . doi: 10.1137/16M1107097
• Fornæss, John Erik & Wold, Erlend Fornæss (2018). A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary. Pacific Journal of Mathematics.  ISSN 0030-8730.  297(1), s 79- 86 . doi: 10.2140/pjm.2018.297.79 Fulltekst i vitenarkiv.
• Banos, David; Cordoni, Francesco; Di Nunno, Giulia; Di Persio, Luca & Røse, Elin Engen (2018). Stochastic systems with memory and jumps. Journal of Differential Equations.  ISSN 0022-0396.  266(9), s 5772- 5820 . doi: https://doi.org/10.1016/j.jde.2018.10.052
• Størmer, Erling (2018). Mapping cones and separable states. Positivity (Dordrecht).  ISSN 1385-1292.  22(2), s 493- 499 . doi: /10.1007/s11117-017-0523-8
• Jahren, Bjørn & Kwasik, Slawomir (2018). Whitehead torsion of inertial h-cobordisms. Topology and its Applications.  ISSN 0166-8641.  249, s 150- 159 . doi: 10.1016/j.topol.2018.09.013 Fulltekst i vitenarkiv.
• Verschaeve, Joris C. G.; Pedersen, Geir Kleivstul & Tropea, Cameron (2018). Non-modal stability analysis of the boundary layer under solitary waves. Journal of Fluid Mechanics.  ISSN 0022-1120.  836, s 740- 772 . doi: 10.1017/jfm.2017.825
• Hiltebrand, Andreas; Mishra, Siddhartha & Parés, Carlos (2018). Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Mathematical Modelling and Numerical Analysis.  ISSN 0764-583X.  52(3), s 995- 1022 . doi: 10.1051/m2an/2017056
• Lindstrøm, Erika Kristina; Ringstad, Geir; Sorteberg, Angelika; Sorteberg, Wilhelm; Mardal, Kent-Andre & Eide, Per Kristian (2018). Magnitude and direction of aqueductal cerebrospinal fluid flow: large variations in patients with intracranial aneurysms with or without a previous subarachnoid hemorrhage. Acta Neurochirurgica.  ISSN 0001-6268.  s 1- 10 . doi: 10.1007/s00701-018-3730-6 Vis sammendrag

  Background Net cerebrospinal fluid (CSF) flow within the cerebral aqueduct is usually considered to be antegrade, i.e., from the third to the fourth ventricle with volumes ranging between 500 and 600 ml over 24 h. Knowledge of individual CSF flow dynamics, however, is hitherto scarcely investigated. In order to explore individual CSF flow rate and direction, we assessed net aqueductal CSF flow in individuals with intracranial aneurysms with or without a previous subarachnoid hemorrhage (SAH). Methods A prospective observational study was performed utilizing phase-contrast magnetic resonance imaging (PCMRI) to determine the magnitude and direction of aqueductal CSF flow with an in-depth, pixel-by-pixel approach. Estimation of net flow was used to calculate CSF flow volumes over 24 h. PC-MRI provides positive values when flow is retrograde. Results The study included eight patients with intracranial aneurysms. Four were examined within days after their SAH; three were studied in the chronic stage after SAH while one patient had an unruptured intracranial aneurysm. There was a vast variation in magnitude and direction of aqueductal CSF flow between individuals. Net aqueductal CSF flow was retrograde, i.e., directed towards the third ventricle in 5/8 individuals. For the entire patient cohort, the estimated net aqueductal CSF volumetric flow rate (independent of direction) was median 898 ml/24 h (ranges 69 ml/24 h to 12.9 l/ 24 h). One of the two individuals who had a very high estimated net aqueductal CSF volumetric flow rate, 8.7 l/24 h retrograde, later needed a permanent CSF shunt. Conclusions The magnitude and direction of net aqueductal CSF flow vary extensively in patients with intracranial aneurysms. Following SAH, PC-MRI may offer the possibility to perform individualized assessments of the CSF circulation.

• Chatterjee, Neelabja & Fjordholm, Ulrik Skre (2018). A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws. IMA Journal of Numerical Analysis.  ISSN 0272-4979. . doi: 10.1093/imanum/dry074
• Jensen, Atle (2018). Solitary wave impact on a vertical wall. European journal of mechanics. B, Fluids.  ISSN 0997-7546.  73, s 69- 74 . doi: 10.1016/j.euromechflu.2018.05.004
• Lyche, Tom; Manni, Carla & Speleers, Hendrik (2018). Foundations of Spline Theory: B-Splines, Spline Approximation, and Hierarchical Refinement, In  Splines and PDEs: From Approximation Theory to Numerical Linear Algebra, Cetraro, Italy 2017.  Springer Nature.  ISBN 978-3-319-94910-9.  1.  s 1 - 76
• Riise, Bjørn; Grue, John; Jensen, Atle & Johannessen, Thomas Berge (2018). High frequency resonant response of a monopile in irregular deep water waves. Journal of Fluid Mechanics.  ISSN 0022-1120.  853, s 564- 586 . doi: 10.1017/jfm.2018.499
• Fjordholm, Ulrik Skre; Lye, Kjetil & Mishra, Siddhartha (2018). Numerical Approximation of Statistical Solutions of Scalar Conservation Laws. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  56(5), s 2989- 3009 . doi: 10.1137/17M1154874
• Fjordholm, Ulrik Skre (2018). Sharp uniqueness conditions for one-dimensional, autonomous ordinary differential equations. Comptes rendus. Mathematique.  ISSN 1631-073X.  356(9), s 916- 921 . doi: 10.1016/j.crma.2018.07.008
• Coclite, Giuseppe Maria; di Ruvo, Lorenzo & Karlsen, Kenneth Hvistendahl (2018). The initial-boundary-value problem for an Ostrovsky-Hunter type equation, In  Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume.  European Mathematical Society Publishing House.  ISBN 978-3-03719-186-6.  N/A.  s 97 - 109
• Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik & Storrøsten, Erlend Briseid (2018). Path-dependent convex conservation laws. Journal of Differential Equations.  ISSN 0022-0396.  265(6), s 2708- 2744 . doi: 10.1016/j.jde.2018.04.045
• Ayati, Anis Awal (2018). Experimental characterization of non-linear interfacial wave interaction in stratified gas-liquid pipe flow. Physics of fluids.  ISSN 1070-6631.  30(6), s 1- 12 . doi: 10.1063/1.5035082
• Mortensen, Mikael (2018). Shenfun: High performance spectral Galerkin computing platform. The Journal of Open Source Software.  ISSN 2475-9066.  3(31), s 1071 . doi: 10.21105/joss.01071
• Rabault, Jean; Kuchta, Miroslav; Jensen, Atle; Reglade, Ulysse & Cerardi, Nicolas (2018). Artificial Neural Networks trained through Deep Reinforcement Learning discover control strategies for active flow control. arXiv.org.  ISSN 2331-8422.
• Rabault, Jean; Kuchta, Miroslav; Jensen, Atle; Reglade, Ulysse & Nicolas, Cerardi (2018). Deep Reinforcement Learning achieves flow control of the 2D Karman Vortex Street. arXiv.org.  ISSN 2331-8422.
• Eilers, Søren; Restorff, Gunnar; Ruiz, Efren & Sørensen, Adam Peder Wie (2018). Geometrie classification of graph C*-algebras over finite graphs. Canadian Journal of Mathematics - Journal Canadien de Mathematiques.  ISSN 0008-414X.  70(2), s 294- 353 . doi: 10.4153/CJM-2017-016-7
• Brandsæter, Andreas & Knutsen, Knut Erik (2018). Towards a framework for assurance of autonomous navigation systems in the maritime industry, In Stein Haugen; Anne Barros; Coen van Gulijk; Trond Kongsvik & Jan Erik Vinnem (ed.),  Safety and Reliability – Safe Societies in a Changing World. Proceedings of ESREL 2018, June 17-21, 2018, Trondheim, Norway.  CRC Press.  ISBN 9781351174657.  56.  s 449 - 457
• Benth, Fred Espen & Suss, Andre (2018). Cointegration in continuous time for factor models. Mathematics and Financial Economics.  ISSN 1862-9679.  13(1), s 87- 114 . doi: 10.1007/s11579-018-0221-8
• Lyche, Tom Johan & Merrien, Jean-Louis (2018). Simplex-splines on the Clough-Tocher element. Computer Aided Geometric Design.  ISSN 0167-8396.  65, s 76- 92 . doi: 10.1016/j.cagd.2018.07.004
• Samuelsen, Sven Ove & Støer, Nathalie Charlotte (2018). Inverse Probability Weighting in Nested Case-Control Studies, In Ørnulf Borgan; Norman E. Breslow; Nilanjan Chatterjee; Mitchell H. Gail; Alastair Scott & Christopher J. Wild (ed.),  Handbook of Statistical Methods for Case-Control Studies.  CRC Press.  ISBN 978-1-4987-6858-0.  19.  s 351 - 371
• Röndigs, Oliver; Spitzweck, Markus & Østvær, Paul Arne (2018). The motivic Hopf map solves the homotopy limit problem for K-theory. Documenta Mathematica.  ISSN 1431-0643.  23, s 1405- 1424 . doi: 10.25537/dm.2018v23.1405-1424
• Heller, Jeremiah; Ravi, Charanya & Østvær, Paul Arne (2018). Rigidity for equivariant pseudo pretheories. Journal of Algebra.  ISSN 0021-8693.  516, s 373- 395 . doi: 10.1016/j.jalgebra.2018.09.027
• Chruscinski, Dariusz; Rivas, Angel & Størmer, Erling (2018). Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps. Physical Review Letters.  ISSN 0031-9007.  121(8) . doi: 10.1103/PhysRevLett.121.080407
• Holden, Helge & Risebro, Nils Henrik (2018). Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media.  ISSN 1556-1801.  13(3), s 409- 421 . doi: 10.3934/nhm.2018018 Fulltekst i vitenarkiv.
• Shaw, Kristin; Brugallé, Erwan; Mikhalkin, Grigory & Risler, Jean-Jacques (2018). Nonexistence of torically maximal hypersurfaces. Algebra i Analiz.  ISSN 0234-0852.
• Jell, Philipp; Rau, Johannes & Shaw, Kristin (2018). Lefschetz (1,1) theorem in tropical geometry. Épijournal de Géométrie Algébrique (EPIGA).  ISSN 2491-6765.
• Pel, Jan; Peters, Han & Wold, Erlend Fornæss (2018). Extensions to the boundary of Riemann maps on varying domains in the complex plane. Indagationes mathematicae.  ISSN 0019-3577.  29(5), s 1193- 1195 . doi: 10.1016/j.indag.2018.05.001
• Jullum, Martin & Hjort, Nils Lid (2018). What price semiparametric Cox regression?. Lifetime Data Analysis.  ISSN 1380-7870.  s 1- 33 . doi: 10.1007/s10985-018-9450-7
• Dong, Tao; Shi, Zhongyuan & Jensen, Atle (2018). Bi-objective optimization of axial profile of pin fin with uniform base heat flux. Applied Thermal Engineering.  ISSN 1359-4311.  128, s 830- 836 . doi: 10.1016/j.applthermaleng.2017.09.037 Vis sammendrag

  Cone shaped pin fin with curved profile and uniform base heat flux was investigated. The result from simultaneous optimization in regard of fin efficiency and total volume is presented. The profile is represented by the Non-Uniform Rational B-Spline (NURBS) for an additional degree of freedom to morph during the optimization process. An overall dominance was obtained from the present work, as compared to the classic concave parabolic profile, the practical constraint in fabrication taken into consideration. The profiles corresponding to the acquired Pareto solution sets tend to comply with the constructal law of design, in which freestream of heat flow is expected.

• Bracci, Filippo; Fornæss, John Erik & Wold, Erlend Fornæss (2018). Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains. Mathematische Zeitschrift.  ISSN 0025-5874.  s 1- 15 . doi: 10.1007/s00209-018-2114-1

Se alle arbeider i Cristin

• Palma, Rui Miguel Coutinho (2018). Crossed products by Hecke Pairs. American Mathematical Society (AMS).  ISBN 9781470428099.  138 s.
• Helland, Inge Svein (2018). Epistemic Processes. A Basis for Statistics and Quantum Theory. Springer Nature.  ISBN 978-3-319-95067-9.  170 s.
• Lyche, Tom; Manni, Carla & Speleers, Hendrik (2018). Splines and PDEs: From Approximation Theory to Numerical Linear Algebra, Cetraro, Italy 2017. Springer Nature.  ISBN 978-3-319-94910-9.  325 s.

Se alle arbeider i Cristin

• Lindstrøm, Tom Louis (2019). Hva er dimensjon?.
• Vanem, Erik & Brandsæter, Andreas (2019). Statistical approaches to Anomaly Detection based on Real-Time Sensor Measurements.
• Lindstrøm, Tom Louis (2019). Kjerneelementer, dybdelæring, programmering and all that..
• Köhler, Andreas; Lefeuvre, Pierre-Marie; Nuth, Christopher; Schweitzer, Johannes; Buscaino, Giuseppa; Weidle, Christian; Kohler, J; Berthier, E & Petlicki, m (2018). Monitoring and quantification of frontal ablation at Kronebreen, Svalbard, using records of seismic calving signals. Geophysical Research Abstracts.  ISSN 1029-7006.
• Köhler, Andreas; Buscaino, Giuseppa; Lefeuvre, Pierre-Marie; Maupin, Valerie; Nuth, Christopher; Petlicki, Michal; Schweitzer, Johannes & Weidle, Christian (2018). Studying and quantifying glacier dynamics in Svalbard using cryoseismology.
• Schweitzer, Johannes; Köhler, Andreas & Weidle, Christian (2018). Regional Seismicity observed with two temporary seismic arrays in Kongsfjorden, Svalbard.
• Köhler, Andreas; Buscaino, Giuseppa; Lefeuvre, Pierre-Marie; Maupin, Valerie; Nuth, Christopher; Petlicki, Michal & Schweitzer, Johannes (2018). Seismic monitoring of glaciers and permafrost: What micro-seismicity and ambient noise can tell us about cryospheric processes in Svalbard.
• Kaliszewski, S.; Omland, Tron & Quigg, John (2018). Rigidity theory for C*-dynamical systems and the "Pedersen rigidity problem", II.
• Li, Xin; Omland, Tron & Spielberg, Jack (2018). C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type.
• Nuth, Christopher; Kohler, Jack; Köhler, Andreas; Lefeuvre, Pierre-Marie; Schuler, Thomas; Van Pelt, Ward; Schellenberger, Thomas; Kääb, Andreas; Deschamps-Berger, Cesar; Berthier, Etienne; Lauknes, Tom Rune; Strozzi, Tazio & Petlicki, Michal (2018). The different dynamic personalities of two neighboring tidewater glaciers.
• Øksendal, Bernt (2018). SPDEs with space - mean dynamics.
• Øksendal, Bernt (2018). Introduction to Stochastic Control and applications.
• Øksendal, Bernt (2018). Optimal control of stochastic Volterra equations.
• Øksendal, Bernt (2018). Optimal control of mean-field stochastic differential equations.
• Øksendal, Bernt (2018). Introduction to Stochastic Control with Applications.
• Øksendal, Bernt (2018). An Introduction to Stochastic Control, with Applications to Mathematical Finance.
• Eide, Per Kristian; Sorteberg, Angelika; Sorteberg, Wilhelm; Lindstrøm, Erika Kristina; Mardal, Kent-Andre & Ringstad, Geir (2018). "Bucket" cerebrospinal fluid bulk flow: when the terrain disagrees with the map. Acta Neurochirurgica.  ISSN 0001-6268.  161(2), s 259- 261 . doi: 10.1007/s00701-018-3775-6
• Lindstrøm, Tom Louis (2018). Dybdelæring.
• Natvig, Bent; Hagelund, Helge & Osen, Kirsten K. (2018). Atomvanviddet eskalerer. Dagsavisen - Nye Meninger.  s 31- 32
• Lindstrøm, Tom Louis (2018). Fagfornyelsen.
• Ranestad, Kristian (2018). Apolarity and powersum varieties, old and new results.
• Ranestad, Kristian (2018). Symmetric and skew symmetric degeneracy loci and constructions of hyperkähler manifolds..
• Ranestad, Kristian (2018). Apolarity and powersum varieties, old and new results.
• Rabault, Jean; Nicolas, Cerardi; Reglade, Ulysse; Kuchta, Miroslav & Jensen, Atle (2018). An Artificial Neural Network trained through Deep Reinforcement Learning achieves Active Flow Control of the 2D Karman Vortex Street behind a Cylinder at moderate Reynolds number.
• Piene, Ragni (2018). Reciprocal polar varieties. Vis sammendrag

  The polar varieties of a projective variety are defined via Schubert conditions on the tangent spaces. By introducing “Euclidean normal spaces”, one can define “reciprocal polar varieties” by imposing conditions on the normal spaces. The degrees of the reciprocal polar varieties are sums of degrees of polar varieties, and the degree of the “top” reciprocal polar variety is the so called Euclidean distance degree introduced by Sturmfels et al, which has received recent attention in applied real algebraic geometry.​

• Lindstrøm, Tom Louis (2018). Matematikk og virkelighet. Om å beregne det som ikke kan måles..
• Lindstrøm, Tom Louis (2018). Spillteori.

Se alle arbeider i Cristin