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Selected Publications

Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum, Uniqueness of two-convex closed ancient solutions to the mean curvature flow, arXiv.

Sigurd Angenent, Qian You, Ancient Solutions to Curve Shortening with Finite Total Curvature, arXiv.

Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum, Unique asymptotics of ancient convex mean curvature flow solutions, arXiv, to appear in the Journal of Differential Geometry.

Sigurd Angenent, Jim Isenberg, Dan Knopf, Degenerate neck pinches in Ricci flow J. Reine Angew. Math. 709 (2015), 81 – 117.  (older version:

D Altschuler, SJ Altschuler, SB Angenent, LF Wu, The zoo of solitons for curve shortening in Rn. Nonlinearity 5 (May 2013) PDF

Sigurd Angenent, James Isenberg and Dan Knopf. Formal matched asymptotics for degenerate Ricci flow neck pinches. Nonlinearity 24 (2011), 2265-2280.

Sigurd Angenent, Formal Asymptotic Expansions for Symmetric Ancient Ovals in Mean Curvature Flow. Conference in honor of Hiroshi Matano's 60th birthday. PDF

Houk A, Jilkine S, Mejean CO, Boltyanskiy R, Dufresne ER, Angenent S, Altschuler SJ, Wu LF, Weiner OD. Membrane tension maintains cell polarity by confining signals to the leading edge during neutrophil migration.Cell, 148: 175-188 (2012).  Video Abstract.

Jilkine A., Angenent S.B., Wu L.F.& Altschuler S.J., A Density-Dependent Switch Drives Stochastic Clustering and Polarization of Signaling Molecules. PLoS Computational Biology, 2011 Nov;7(11):e1002271.

Sigurd Angenent, M.Cristina Caputo, Dan Knopf, Minimally Invasive Surgery for Ricci Flow Singularities, PDF. Journal für die reine und angewandte Mathematik, (2012), 39—87.

Steven J. Altschuler, Sigurd B. Angenent, Yanqin Wang & Lani F. Wu, On the spontaneous emergence of cell polarity, Nature 454, 886–889 (14 August 2008)

Sigurd Angenent,  Joost HulshofHiroshi MatanoThe radius of vanishing bubbles in equivariant harmonic map flow from D2 to S2,   SIAM J. Mathematical Analysis, vol.41(3), pp. 1121-1137 (2009) PDF.

Ayelet Dominitz, Sigurd Angenent , Allen Tannenbaum. On the computation of optimal transport maps using gradient flows and multiresolution analysis. Recent advances in learning and control, 65--78, Lecture Notes in Control and Inform. Sci., 371, Springer, London, 2008.

Sigurd Angenent,  Self-intersecting Geodesics and Entropy of the Geodesic Flow, Acta Math. Sinica. vol.24 (2008), no. 12, 1949--1952. PDF

Sigurd Angenent,  Dan Knopf, Precise asymptotics in the Ricci flow neck pinch. Communications in Analysis and Geometry, 2007, vol.15, pages 773–844. PDF

Sigurd Angenent, Jan Bouwe van den Berg, Rob van der Vorst, Contact and noncontact type Hamiltonian systems generated by second order Lagrangians, Ergodic Theory and Dynamical Systems, vol.27 (2007), no. 1, 23--49. PDF

Sigurd Angenent, Allen Tannenbaum, Anthony Yezzi Jr, Ofer Zeitouni. Curve shortening and interacting particle systems. Statistics and analysis of shapes, 303--311, Model. Simul. Sci. Eng. Technol., Birkhauser Boston, Boston, MA, 2006.

Marc Niethammer, Allen Tannenbaum, and Sigurd Angenent, Dynamic Active Contours for Visual Tracking, IEEE Transactions on Automatic Control, April 2006, vol 51 issue 4 pages 562—579. PDF. abstract

Sigurd Angenent, Curve Shortening and the topology of closed geodesics on surfaces, Annals of Mathematics, 162, (2005) no.3 p.1185-1239 PDF

Sigurd Angenent,  Joost Hulshof, Singularities at t=∞ in Equivariant Harmonic Map Flow. in “Geometric Evolution Equations,” Shu-Cheng Chang, Ben Chow, Sun-Chin Chu, Chang-Shou Lin, editors. Contemporary Mathematics 367, American Mathematical Society, January 2005 PDF

Sigurd Angenent,  Dan Knopf, An example of neckpinching for Ricci flow on Sn+1. Mathematical Research Letters 11 (2004), no. 4, 493--518. PDF

Sigurd Angenent,  Don G.Aronson, The focusing problem for the Eikonal Equation. Journal of Evolution Equations 3 (2003), no. 1, 137–151. PDF

S.B. Angenent, D.G. Aronson, S.I. Betelu, J.S. Lowengrub, Focusing of an elongated hole in porous medium flow. Physica D 151 (2001), 228--252.

Sigurd Angenent,  Don G.Aronson, Non axial self-similar hole filling solutions to the porous medium equation, Journal of the AMS 14 (2001) pp.737-782. PDF

Sigurd Angenent,  Don G.Aronson, Santiago Betelú, Renormalization study of two-dimensional convergent solutions of the porous medium equation, Physica D 138 (2000), pp.344--359. PDF

Sigurd Angenent, Rob van der Vorst, , A priori estimates and renormalized Morse indices of solutions of an elliptic system, Ann. Inst. H. Poincaré Anal. Non Linéaire, PS PDF

Sigurd Angenent, Marek Fila, Interior gradient blow-up in a semilinear parabolic equation, Journal of Differential and Integral Equations 9 (1996), no. 5, 865--877. PDF

Sigurd Angenent, Constructions with analytic semigroups and abstract exponential decay results for eigenfunctions, (proceedings of the conference in honor of H.Amann's 60th birthday Birkhauser Verlag) PDF

Sigurd Angenent, A variational interpretation of Melnikov's function and exponentially small separatrix splitting, (Proceedings of a conference on Symplectic Geometry held in Warwick, UK, 1990, drawings are missing, sorry.) PDF , PS

Sigurd Angenent, A remark on the topological entropy and invariant circles of an area preserving twistmap, (Proceedings of an IMA workshop on Monotone twist maps and their applications, 5 pages) PDF

Sigurd Angenent, Inflection points, extatic points and Curve Shortening, (Proceedings of the NATO workshop on Hamiltonian systems with 3 or more degrees of freedom, S'Agarro, 1995; 11 pages.) PDF

Sigurd Angenent, Shrinking Doughnuts, (Proceedings of the Conference on Elliptic and Parabolic Equations, held at Gregynog, Wales, August 1989; 18 pages.) PDF. The drawings are missing, except for these: Fig3a.eps, Fig3b.eps, Fig3c.eps.

Sigurd Angenent, Eric Pichon, and Allen Tannenbaum, Mathematical Methods of Medical Imaging, Bulletin of the AMS, (2006). PDF

PDF slides of a talk I gave for a non engineering audience in Groningen, 2005 and some animations related to the Minimizing Flows for the Monge-Kantorovich Problem of the following paper:

Steve Haker, Sigurd Angenent, Allen Tannenbaum, Minimizing Flows for the Monge-Kantorovich Problem, (June 2002; SIAM Journal of Math Analysis) gzipped postscript.

Steve Haker, Sigurd Angenent, Allen Tannenbaum, Ron Kikinis, On Area Preserving Mappings of Minimal Distortion, gzipped postscript.

Steve Haker, Sigurd Angenent, Allen Tannenbaum, Ron Kikinis, Angle-Preserving Flattening Maps and the 3D Visualization of Colon CT Images, (A similar paper appeared as " Nondistorting Flattening Maps and the 3-D Visualization of Colon CT Images, IEEE Transactions on Medical Imaging, 19, pp.665-670, 2000.") PDF

Steve Haker, Sigurd Angenent, Allen Tannenbaum, Ron Kikinis, Laplace-Beltrami Operator and Brain surface flattening, IEEE Transactions on Medical Imaging,18, pp.700-711, 1999. PDF