Almut Burchard -- publications

Publications

 

theses and notes:

articles in mathematics journals, including submissions:

  1. "Rate of convergence of random polarizations".
    August 2011 preprint. [arXiv:1108.5500]

  2. "Random polarizations", with Marc Fortier.
    Submitted June 2011. Preprint [arXiv:1104.4103]

  3. "Convergence to equilibrium for a thin film equation on a cylindrical surface", with Marina Chugunova and Benjamin K. Stephens.
    Communications in PDE, to appear (2012) [arXiv:1011.2108]

  4. "On computing the instability index of a non-selfadjoint differential operator associated with coating and rimming flows", with Marina Chugunova.
    SIAM J. on Mathematical Analysis 43: 367-388 (2011). [PDF, arXiv:0905.1834]

  5. "Explicit Yamabe flow of an asymmetric cigar", with Robert McCann and Aaron Smith.
    Methods and Applications of Analysis 15: 65-80 (2008). [PDF]

  6. "Rearrangement inequalities for functionals with monotone integrands", with Hichem Hajaiej.
    Journal of Functional Analysis 233:561-582 (2006). [arXiv:0506.336]

  7. "On the geometry of optimal windows, with special focus on the square", with Jochen Denzler.
    SIAM Journal on Mathematical Analysis 37:1800-1827 (2006). [PS]

  8. "On an isoperimetric inequality for a Schrödinger operator depending on the curvature of a loop", with Lawrence E. Thomas.
    Journal of Geometric Analysis 15:543-563 (2005). [arXiv:0505123]

  9. "Compactness via symmetrization", with Yan Guo.
    Journal of Functional Analysis 214:40-73 (2004). [PDF]

  10. "On the Cauchy problem for a dynamical Euler's Elastica", with Lawrence E. Thomas.
    Communications in PDE 28:271-300 (2003). [arXiv:0202278]

  11. "Comparison theorems for exit times", with Michael Schmuckenschläger.
    Geometric and Functional Analysis 11:651-692 (2001). [PS]

  12. "Scaling limits for minimal and random spanning trees in two dimensions", with Michael Aizenman, Charles M. Newman, and David B. Wilson.
    Random Structures and Algorithms 15:319-367 (1999). [arXiv:9809145]

  13. "Hölder regularity and dimension bounds for random curves", with Michael Aizenman.
    Duke Mathematial Journal 99:419-453 (1999). [arXiv:9801027

  14. "Steiner symmetrization is continuous in W(1,p)".
    Geometric and Functional Analysis 7:823-860 (1997). [PS]

  15. "Cases of equality in the Riesz rearrangement inequality".
    Annals of Mathematics 143:499-527 (1996). [PS]

  16. "Substrate degradation by a mutualistic association of two species in the chemostat".
    Journal of Mathematical Biology 32:465-489 (1994). [PDF]

  17. "Smooth conjugacy of center manifolds", with Bo Deng and Kening Lu.
    Proceedings of the Royal Society of Edinburgh Section A 120:61-77 (1992). [PS]

other articles:

  1. "The impact of link scheduling on long paths: Statistical analysis and optimal bounds", Jörg Liebeherr, Y. Ghiassi-Farrokhfal, and AB.
    9 pages. To be presented at IEEE Infocom 2011.
    Preprint (slightly expanded) "Statistical analysis of link scheduling on long paths", January 2011. [arXiv:1101.1237]

  2. "Non-asymptotic bounds for networks with heavy-tailed and self-similar traffic", Jörg Liebeherr, AB, and Florin Ciucu.
    29 pages. To appear in IEEE Transactions on Information Theory (2012) Preprint [arXiv:0911.3856]
    Conference version: "Non-asymptotic delay bounds for networks with heavy-tailed traffic". 9 pages, IEEE Infocom 2010.

  3. "On the impact of link scheduling on end-to-end delays in large networks, Jörg Liebeherr, Y. Ghiassi-Farrokhfal, and AB.
    IEEE Journal on Selected Areas in Communications, Special Issue on Trading Rate for Delay at the Transport and Application Layers, 29:1009-1020 (2011).
    Conference version: "Does link scheduling matter on long paths?" 10 pages, ICDCS 2010.

  4. "On superlinear scaling of network delays", AB, Jörg Liebeherr, and Florin Ciucu.
    14 pages. ACM/IEEE Transactions on Networking, 19:1043-1056 (2011). [PDF]
    Conference version: "On Theta (H log H) scaling of network delays". 9 pages, IEEE Infocom 2007.

  5. "A network service curve approach for the stochastic analysis of networks", Florin Ciucu, AB, and Jörg Liebeherr.
    Best Student Paper Award, ACM Sigmetrics 2005. [PDF]
    Journal version in IEEE Transactions on Information Theory 52:2300-2312 (2006).

  6. "A network calculus with effective bandwidth, Chengzhi Li, AB, and Jörg Liebeherr.
    IEEE/ACM Transaction on Networking 15(6): 1442-1453, December 2007.
    Early version: University of Virginia Technical Report CS-2003-20. [PDF]

  7. "A min-plus calculus for end-to-end statistical service guarantees", AB, Jörg Liebeherr, and Stephen D. Patek.
    IEEE Transactions on Information Theory 52:4105-4114 (2006). [PDF ]
    Early version: University of Virginia Technical Report CS-2001-19. [arXiv.cs/0205001]

  8. "Statistical per-flow service bounds in a network with aggregate provisioning", Jörg Liebeherr, Stephen D. Patek, and AB.
    IEEE Infocom 2003. [PDF]

  9. "Confocal FRET microscopy to measure clustering of receptor-ligand complexes in endocytic membranes", Horst Wallrabe, Masilamani Elangovan, AB, Ammasi Periasamy, and Margarida Barroso.
    Biophysical Journal 85: 1-13 (2003). [PDF]
    An announcement appeared in the Proc. SPIE 2002 (non-refereed). [PDF]

  10. "Statistical service assurances for traffic scheduling algorithms", Robert Boorstyn, AB, Jörg Liebeherr, and Chaiwat Oottamakorn.
    Journal for Selected Areas in Communications 18:2651-2664 (2000). [PDF]
    A shorter version was presented at IEEE Infocom 2000.

  11. "New strategies for assigning real-time tasks to multiprocessor systems", AB, Jörg Liebeherr, Yingfeng Oh, and Sang H. Son.
    IEEE Transactions on Computers 44:1429-1442 (1995). [PS]

  12. "A linear-time online task assignment scheme for multiprocessor systems", AB, Jörg Liebeherr, Yingfeng Oh, and Sang H. Son.
    Proc. 11th IEEE Workshop on Real-Time Operating Systems and Software, 28-31 (Seattle, 1994). [PS]

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August 2011