Department of Mathematics

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Publications

All data comes from articles registered in PURE.

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Kuijper, T. (2025). Brownian motion and stochastic areas on complex partial flag manifolds with blocks of equal size.
Kruhøffer, M., Jensen, J. L., Laiho, P., Andersen, L. D., Salovaara, R., Arango, D., Birkenkamp-Demtröder, K., Christensen, L. L., Sørensen, F. B., Buhl, L., Mecklin, J.-P., Järvinen, H., Andersen, T. T., Wikman, F., Bech-Knudsen, F., Juhola, M., Nupponen, M., Lauerberg, S., Andersen, C. L. ... Ørntoft, T. F. (2005). Gene expression signatures for colorectal cancer microsatellite status and HNPCC. British Journal of Cancer, 92(12).
Krebs, J. & Hirsch, C. (2022). Functional central limit theorems for persistent Betti numbers on cylindrical networks. Scandinavian Journal of Statistics, 49(1), 427-454. https://doi.org/10.1111/sjos.12524
Kousholt, A., Kiderlen, M. & Hug, D. (2014). Surface tensor estimation from linear sections. Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University. CSGB Research Reports No. 07 http://math.au.dk/publs?publid=1004
Kousholt, A., Kiderlen, M. & Hug, D. (2015). Surface tensor estimation from linear sections. Mathematische Nachrichten, 288(14-15), 1647-1672. https://doi.org/10.1002/mana.201400147
Kousholt, A. & Kiderlen, M. (2016). Reconstruction of convex bodies from surface tensors. Advances in Applied Mathematics, 76, 1-33. https://doi.org/10.1016/j.aam.2016.01.001
Kousholt, A. & Kiderlen, M. (2015). Reconstruction of convex bodies from surface tensors. Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University. CSGB Research Reports No. 10 http://math.au.dk/publs?publid=1046
Kousholt, A. & Kiderlen, M. (2015). Reconstruction of convex bodies from surface tensors. Poster session presented at GPSRS Conference, Bad Herrenalb, Germany.
Kousholt, A., Ziegel, J., Kiderlen, M. & Jensen, E. B. V. (2016). Stereological estimation of mean particle volume tensors in R3 from vertical sections. Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University. CSGB Research Reports No. 09 http://csgb.dk/publications/csgbrr/2016/
Kousholt, A., Ziegel, J. F., Kiderlen, M. & Jensen, E. B. V. (2016). Stereological estimation of mean particle volume tensors in R3 from vertical sections. Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University. CSGB Research Reports Vol. 2016/09 http://math.au.dk/publs?publid=1073
Kousholt, A., Ziegel, J., Kiderlen, M. & Jensen, E. B. V. (2017). Stereological estimation of mean particle volume tensors in R3 from vertical sections. In E. B. V. Jensen & M. Kiderlen (Eds.), Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Vol. 2177, pp. 423-434). Springer.
Kötzer, S., Jensen, E. B. V. & Baddeley, A. (2005). Geometric identities in stereological particle analysis. Thiele Centre, Institut for Matematiske Fag, Aarhus Universitet.
Kortschak, D. & Asmussen, S. (2013). Second order corrections for the limits of normalized ruin times in the presence of heavy tails. Stochastic Systems, 3(2), 591-633. https://doi.org/10.1214/11-SSY054
Koets, A., Santema, W., Oostenriik, D., Keestra, M., Mertens, H., Overdijk, M., Labouriau, R., Franken, P., Frijters, A., Nielsen, M. & Rutten, V. (2010). Susceptibility to paratuberculosis infection in cattle is associated withsingle nucleotide polymorphisms in Toll-like receptor 2 which modulate immune responses against Mycobacterium avium subspecies paratuberculosis. Preventive Veterinary Medicine, 93(4), 305-315. https://doi.org/10.1016/j.prevetmed.2009.11.008
Knudsen, M., Feliu, E., Wiuf, C. H. & Andersen, L. N. (2010). Steady States of Phosphorelays and Two-Component Systems. Poster session presented at The 11th International Conference on Systems Biology, Edinburgh, United Kingdom.
Klose, A. (2006). Single-Sink Fixed-Charge Transportation: Applications and Exact Solution Algorithms. http://www.imf.au.dk/publs?id=627
Klose, A. (2006). Analysis of Some Greedy Algorithms for the Single-Sink Fixed-Charge Transportation Problem. http://www.imf.au.dk/publs?id=633
Klose, A. & Görtz, S. (2007). A branch-and-price algorithm for the capacitated facility location problem. European Journal of Operational Research, 179(3), 1109-1125. https://doi.org/10.1016/j.ejor.2005.03.078
Klose, A. (2006). Algorithms for solving the single-sink fixed-charge transportation problem. Computers & Operations Research, 35(6), 2079-2092. https://doi.org/10.1016/j.cor.2006.10.011
Klose, A. (2007). An LP-based heuristic for the fixed charge transportation problem. In Operations Research in the Service Industry: International Annual Conference of the German Operations Research Society (pp. 103). Universitaet des Saarlandes.
Klose, A. (2008). A note on Fenchel cuts for the single-node flow problem. (pp. 1-14). Department of Mathematical Sciences, Aarhus University. http://www.imf.au.dk/publs?id=676
Klose, A. (2011). Three formulations of the multi-type capacitated facility location problem. Abstract from International Conference on Operations Research, Zürich, Switzerland.
Klose, A. (2017). A branch-and-bound algorithm for the capacitated facility location problem with convex production costs. Abstract from Operations Research 2017, Berlin, Germany.
Kirk, H. G. & Labouriau, R. (2002). Influence of Maturity on Field Resistance against Late Blight. In Proceedings EAPR
Kirk, H. G. & Labouriau, R. (2002). Influence of Maturity on Field Resistance against Late Blight. In Proceedings GILB
Kinnebrock, S. & Podolskij, M. (2008). An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. Institut for Økonomi, Aarhus Universitet. ftp://ftp.econ.au.dk/creates/rp/08/rp08_23.pdf
Kinnebrock, S. & Podolskij, M. (2008). A note on the central limit theorem for bipower variation of general functions. Stochastic Processes and Their Applications, 118(6), 1056-1070. https://doi.org/10.1016/j.spa.2007.07.009
Kieu, K. & Jensen, E. B. V. (1993). Stereological estimation based on isotropic slices through fixed points. Journal of Microscopy, 170(1), 45-51. https://doi.org/10.1111/j.1365-2818.1993.tb03322.x
Kiderlen, M. & Jensen, E. B. V. (2003). Estimation of the directional measure of planar random sets by digitization. Advances in Applied Probability, 35(3), 583-602.
Kiderlen, M. & Pfrang, A. (2005). Algorithms to estimate the rose of directions of a spatial fibre system. Journal of Microscopy, 219(2), 50-60.
Kiderlen, M. (2006). Estimating the Euler Characteristic of a planar set from a digital image. Journal of Visual Communication and Image Representation, 17, 1237-1255.
Kiderlen, M. & Rataj, J. (2007). On infinitesimal increase of volumes of morphological transforms. Mathematika, 53, 103-127.
Kiderlen, M. (2006). Blaschke- and Minkowski-endomorphisms of convex bodies. Trans. Am. Math. Soc., 358(12), 5539-5564.
Kiderlen, M. (2008). Estimation of the mean normal measure from flat sections. Advances in Applied Probability, 40(1), 31-48. https://doi.org/10.1239/aap/1208358885
Kiderlen, M. (2008). Stability results for convex bodies in geometric tomography. Indiana University Mathematics Journal, 57, 1999-2038. https://doi.org/10.1512/iumj.2008.57.3348
Kiderlen, M. & Meschenmoser, D. (2009). Error bounds for surface area estimators based on Crofton's formula. Image Analysis and Stereology, 28, 165-177. http://www.wise-t.com/ias/article.php?id=250&year=2009&issue=11
Kiderlen, M. (2010). Introduction into integral geometry and stereology. Thiele Centre, Institut for Matematiske Fag, Aarhus Universitet.
Kiderlen, M. & Rataj, J. (2011). Dilation volumes of sets of bounded perimeter. Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University.
Kiderlen, M. & Hörig, M. (2013). Matérn's hard core models of types I and II with arbitrary compact grains. Centre for Stochastic Geometry and advanced Bioimaging, Aarhus University. CSGB Research Reports No. 05 http://math.au.dk/publs?publid=980
Kiderlen, M. & Kampf, J. (2013). Large Parallel Volumes of Finite and Compact Sets in d-Dimensional Euclidean Space. Documenta Mathematica, 18, 275-295. http://www.math.uni-bielefeld.de/documenta/vol-18/09.html
Kiderlen, M. (2013). Introduction into integral geometry and stereology. In E. Spodarev (Ed.), Stochastic geometry, spatial statistics and random fields: Asymptotic methods (pp. 21-48). Springer. https://doi.org/10.1007/978-3-642-33305-7_2
Kiderlen, M. & Jensen, E. B. V. (Eds.) (2017). Tensor Valuations and Their Applications in Stochastic Geometry and Imaging. Springer. Lecture Notes in Mathematics Vol. 2177
Kiderlen, M. & Jensen, E. B. V. (2017). Rotation Invariant Valuations. In E. B. V. Jensen & M. Kiderlen (Eds.), Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (Vol. 2177 , pp. 185-212). Springer. https://doi.org/10.1007/978-3-319-51951-7_7
Kiderlen, M. & Dorph-Petersen, K. A. (2017). The Cavalieri estimator with unequal section spacing revisited. Image Analysis and Stereology, 36(2), 135-141. https://doi.org/10.5566/ias.1723
Kiderlen, M. & Dorph-Petersen, K.-A. (2017). The Cavalieri estimator with unequal section spacing revisited. http://csgb.dk/publications/csgbrr/2017/
Kiderlen, M. & Rataj, J. (2017). Dilation volumes of sets of finite perimeter. http://csgb.dk/publications/csgbrr/2017/
Kiderlen, M. & Rataj, J. (2018). Dilation volumes of sets of finite perimeter. Advances in Applied Probability, 50(4), 1095-1118. https://doi.org/10.1017/apr.2018.52
Kiderlen, M. & Pausinger, F. (2021). Discrepancy of stratified samples from partitions of the unit cube. Monatshefte fur Mathematik, 195(2), 267-306. https://doi.org/10.1007/s00605-021-01538-4
Kiderlen, M. & Pausinger, F. (2022). On a partition with a lower expected L2-discrepancy than classical jittered sampling. Journal of Complexity, 70, Article 101616. https://doi.org/10.1016/j.jco.2021.101616
Keller, K. K., Andersen, I. T., Andersen, J. B., Hahn, U., Stengaard-Pedersen, K., Hauge, E. M. & Nyengaard, J. R. (2013). Improving efficiency in stereology: a study applying the proportionator and the autodisector on virtual slides. Journal of Microscopy, 251(1), 68-76. https://doi.org/10.1111/jmi.12044

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Lars Madsen