Math @ Duke

Mathematics Grad: All Publications (in the database)
List most recent publications in the database. :chronological alphabetical combined bibtex listing:
Aguado, Alex
 Alejandro Aguado, A short note on mapping cylinders,
arXiv:1206.1277v2 [math.AT]
(June, 2012)
 Alejandro Aguado, On the cardinality of the Kuratowski family,
Mathematics Magazine (Problem 1888), vol. 85 (1) & 86 (1)
(February, 2012 & 2013) [61]
 Alejandro Aguado, On group designs and the social golfer problem
(in preparation 2012)
 Alejandro Aguado and Saad I. ElZanati, On σlabeling the union of three cycles.,
Journal of Combinatorial Mathematics and Combinatorial Computing, vol. 64
(2008),
pp. 3348 [MR2389065]
 Alejandro Aguado, Saad I. ElZanati, et al., On ρlabeling the union of three cycles,
The Australasian Journal of Combinatorics, vol. 37
(2007),
pp. 155170 [MR2284379 (2007k:05190)]
 Alejandro Aguado, Cantor Sets, Antoine's Necklace and pAdic Numbers, Undergraduate Thesis (unpublished)
(2006), 22 figures, 48 pages [author's comments]
 Alejandro Aguado, A 10 days solution to the social golfer problem, Math games: Social Golfer problem, edited by Ed Pegg Jr.
(2004), MAA Online [html] [author's comments]
Ambrose, David M.
 David M. Ambrose, Wellposedness of vortex sheets with surface tension,
SIAM J. Math. Analysis
, accepted 2003
Belov, Sergey
 Sergei Belov and Alexei Rybkin, On the existence of WKBtype asymptotics for the generalized eigenvectors of discrete string operators,
Bull. London Math. Soc., vol. 36 no. 2
(2004),
pp. 241251 [MR2026899]
 S.M. Belov, N.B. Avdonina, Z. Felfli, M. Marletta, A. Z. Msezane, S.N. Naboko, Semiclassical approach to Regge poles trajectories calculations for nonsingular potentials: ThomasFermi type,
J. Phys. A, vol. 37 no. 27
(2004),
pp. 6943–6954 [MR2078324]
 S.M. Belov and A.V. Rybkin, Higher order trace formulas of the BuslaevFaddeev type for the halfline Schrodinger operator with longrange potentials,
J. Math. Phys., vol. 44 no. 7
(2003),
pp. 2748–2761 [MR1982789]
 N.B. Avdonina, S. Belov, Z. Felfli, A.Z. Msezane, S.N. Naboko, Semiclassical approach for calculating Reggepole trajectories for singular potentials,
Phys. Rev. A (3), vol. 66 no. 2
(2002),
pp. 022713 [MR1955150], [e022713]
Cain, John
 D.G. Schaeffer, J.W. Cain, D.J. Gauthier, S.S. Kalb, W. Krassowska, R.A. Oliver, E.G. Tolkacheva and W. Ying, An ionically based mapping model with memory for cardiac restitution
(February 21, 2005) (Gordon Research Conference on Cardiac
Arrhythmia Mechanisms, Buellton, CA.)
 J.W. Cain and D.G. Schaeffer, Twoterm asymptotic approximation of a cardiac restitution curve
(2005)
 J. Cain, Issues in the onedimensional dynamics of a paced cardiac fiber,
Ph.D. Dissertation, Duke University
(2005)
 J.W. Cain, E.G. Tolkacheva, D.G. Schaeffer, and D.J. Gauthier, Ratedependent waveback velocity of cardiac action potentials in a onedimensional cable,
International Conference for Mathematics in Biology and Medicine: Annual Meeting for the Society for Mathematical Biology
(July, 2004)
 D.G. Schaeffer, J.W. Cain, D.J. Gauthier, S.S. Kalb, W. Krassowska, R.A. Oliver, and E.G. Tolkacheva, An ionically based mapping model with memory for cardiac restitution,
Bull. Math. Bio.
(submitted 2004)
 J.W. Cain, E.G. Tolkacheva, D.G. Schaeffer, and D.J. Gauthier, Ratedependent propagation of cardiac action potentials in a onedimensional fiber,
Phys. Rev. E., vol. 70 no. 6
(2004),
pp. 061906 (Selected to appear in the Virtual Journal of
Biological Physics Research, Volume 8, Issue
12, December 15, 2004..)
 J.W. Cain, Simulating discordant alternans with a twocurrent model,
International School on Biomathematics, Bioengineering and Clinical Aspects of Blood Flow, MSRI
(August, 2002)
Cao, Yu
 Cao, Y; Lu, J, Stochastic dynamical lowrank approximation method,
Journal of Computational Physics, vol. 372
(November, 2018),
pp. 564586 [doi] [abs]
 Cao, Y; Lu, J, Lindblad equation and its semiclassical limit of the AndersonHolstein model,
Journal of Mathematical Physics, vol. 58 no. 12
(December, 2017),
pp. 122105122105 [doi]
 Cao, Y; Lin, L; Zhou, X, Explore Stochastic Instabilities of Periodic Points by Transition Path Theory,
Journal of Nonlinear Science, vol. 26 no. 3
(June, 2016),
pp. 755786 [doi]
Dai, Shu
 S. Dai and D. G. Schaeffer, Spectrum of a linearized amplitude equation for alternans in a cardiac fiber,
SIAM J. Appl. Math.
(2008) [PDF] [abs]
 S. Dai and D. G. Schaeffer, Bifurcations in a modulation equation for alternans in a cardiac fiber,
Math. Modelling and Num. Analysis
(2008) [PDF] [abs]
Diaz, Humberto
 H. Diaz, The motive of a smooth Theta divisor
(2015) [PDF]
 H. Diaz, The motive of the Fano surface of lines
(2015) [PDF]
Feist, Andrew
 Andrew Feist, Fun With the SigmaFunction,
Missouri Journal of Mathematical Sciences, vol. 15 no. 3
(Fall, 2003),
pp. 173177 [html]
 McCune, Veroff, Fitelson, Harris, Feist, Wos, Short Single Axioms for Boolean Algebra,
Journal of Automated Reasoning, vol. 29, (2002), pp. 116
(July, 2002) [MR2003i:68119], [01687433] [abs]
 Andrew Feist, On the Density of Birthday Sets,
The Pentagon, vol. 60 (2000), no. 1, pp. 3135
Fox, Daniel
 Jennie Traschen and Daniel Fox, Tension perturbations of black brane spacetimes,
Class. Quantum Grav., vol. 21
(2004),
pp. 289306 [abs]
Gjoneski, Oliver
 O. Gjoneski, Three Variable Period Polynomials associated to Cusp Forms,
in preparation
(2010)
 O. Gjoneski, Cohomology of GL_{4}(Z),
in preparation
(2010)
 O. Gjoneski, Degenerate Tilings and Invariant Spines,
in preparation
(2010)
 O. Gjoneski, K. Smith, On the nonexistence of a (176, 50, 14) difference set,
unpublished manuscript
(2005)
Goetz, Andrew
 A. S. Goetz, TullyFisher Scalings and Boundary Conditions for Wave Dark Matter
(February, 2015) [arxiv:1502.04976] [abs]
 H.L. Bray, A.S. Goetz, Wave Dark Matter and the TullyFisher Relation
(October, 2014) [arXiv:1409.7347] [abs]
Gratton, Michael B.
 M.B. Gratton and T.P. Witelski, Coarsening of dewetting thin films subject to gravity,
Phys. Rev. E., vol. 77
(January, 2008),
pp. 016301
 M.B. Gratton et. al., Backward Diffusion methods for digital halftoning,
in Proceedings of the TwentySecond Annual Workshop on Mathematical Problems in Industry
(June, 2006),
pp. 1  15
Greer, John B.
 Andrea L. Bertozzi and John B. Greer, Low curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes,
Comm. Pure Appl. Math., submitted 2003
, accepted 2003 [ps]
 J. B. Greer and A. L. Bertozzi, Traveling Wave Solutions of Fourth Order PDES for Image Processing
, submitted 2003 [ps]
 John B. Greer and Andrea L. Bertozzi, H^1 Solutions of a Class of Fourth Order Nonlinear Equations for Image Processing,
Journal of Discrete and Continuous Dynamical Systems
, accepted 2002 [ps] [abs]
Gunderson, Ryan L.
 D. Campos, R. Gunderson, S. Morey, C. Paulsen, and T. Polstra, Depths and CohenMacaulay properties of path ideals,
Journal of Pure and Applied Algebra, vol. 218 no. 8
(August, 2014),
pp. 1537–1543
Haskett, Ryan P.
 Ryan P. Haskett, Thomas P. Witelski and Jeanman Sur, Localized Marangoni Forcing in Driven Thin Films,
Physica D
(2004) [abs]
Jauregui, Jeff
 Hubert L. Bray, Jeffrey L. Jauregui, A geometric theory of zero area singularities in general relativity
(September 7, 2009) [0522]
Ji, Hangjie
 Y. Gao, H. Ji, J. Liu, T. P. Witelski, Global existence of solutions to a tear film model with locally elevated evaporation rates
(2017) [arXiv:1701.00853]
 H. Ji, T. P. Witelski, Finitetime thin film rupture driven by generalized evaporative loss,
Physica D: Nonlinear Phenomena
(2016) [arXiv:1601.03625]
Laurent, Thomas
 T. Laurent, B. Rider, M.C. Reed, Parabolic Behavior of a Hyperbolic Delay Equation,
SIAM J. Mathematical Analysis
(2006)
Lawley, Sean D.
 SD Lawley, JC Mattingly, MC Reed, Sensitivity to switching rates in stochastically switched ODEs,
Commun. Math. Sci.
(2014) [arXiv:1310.2525]
 SD Lawley, J Yun, M Gamble, M Hall, MC Reed, HF Nijhout, Mathematical modeling of the effects of glutathione on arsenic methylation
(2014)
 SD Lawley, M Cinderella, M Hall, M Gamble, HF Nijhout, MC Reed, Mathematical model insights into arsenic methylation,
Theoretical Biology and Medical Modelling
(2011)
Leverson, Caitlin
 C. Leverson, Augmentations and Rulings of Legendrian Links in $\#^k(S^1\times S^2)$
(2015) [arXiv:1510.06071]
 C. Leverson, Augmentations and Rulings of Legendrian Knots,
Journal of Symplectic Geometry
(2014) [arXiv:1403.4982]
Li, Didong
 Wang, J; Sun, H; Li, D, A GeodesicBased Riemannian Gradient Approach to Averaging on the Lorentz Group,
Entropy, vol. 19 no. 12
(December, 2017),
pp. 698698 [doi]
Li, Yi
 Y. Li and Anita T. Layton, Accurate computation of Stokes flow driven by an open immersed interface,
J. Compute. Phys., vol. 231 no. 15
(2012),
pp. 51955215
 Y. Li, Sarah A. Williams, and Anita T. Layton, A hybrid immersed interface method for driven stokes flow in an elastic tube,
Numerical Mathematics: Theory, Methods and Applications
(2012)
 Y. Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube,
SIAM Journal on Scientific Computing
(2012)
Little, Anna V.
 Tammy Ladner, Anna Little, Ken Marks, Amber Russell, Positive Solutions to a Diffusive Logistic Equation with Constant Yield Harvesting,
RoseHulman Undergraduate Math Journal
(2005), ISSN Vol. 6, Issue 1, 2005 [php] [abs]
Narkawicz, Anthony J.
 A.J. Narkawicz, Cohomology jumping loci and relative malcev completion
(2008)
O'Neill, Christopher
 C. O'Neill, R. Pelayo, On the Linearity of OmegaPrimality in Numerical Monoids,
Journal of Pure and Applied Algebra
(2013) [arXiv:1309.7476] [abs]
 J. Haarmann, A. Kalauli, A. Moran, C. O'Neill, R. Pelayo, Factorization Properties of Leamer Monoids,
Semigroup Forum
(2013) [arXiv:1309.7477] [abs]
Pan, Yu
 Y. Pan, Exact Lagrangian fillings of Legendrian (2,n) torus links
(July, 2016) [ArXiv: 1607.03167]
 Y. Pan, The augmentation category map induced by exact Lagrangian cobordisms.
(June, 2016) [ArXiv 1606.05884]
 Y. Pan, Q. Liu, C.M. Bai, L. Guo, PostLie algebra structures on the Lie algebra sl(2,C),
Electron. J. Linear Algebra, vol. 23 (2012)
,
pp. 180197 [arXiv:1111.6128]
Parry, Alan R.
 Alan R. Parry, Wave Dark Matter and Dwarf Spheroidal Galaxies
(March, 2013), Duke University, Durham, NC (PhD Dissertation.)
 Hubert L. Bray and Alan R. Parry, Modeling Wave Dark Matter in Dwarf Spheroidal Galaxies
(January 2, 2013) [arXiv:1301.0255]
 Alan R. Parry, Spherically Symmetric Static States of Wave Dark Matter
(December 27, 2012) [arXiv:1212.6426]
 Alan R. Parry, A Survey of Spherically Symmetric Spacetimes
(October 18, 2012) [arXiv:1210.5269] [abs]
 Alan R. Parry, A Classification of Real Indecomposable Solvable Lie Algebras of Small Dimension with Codimension One Nilradicals
(August, 2007), Utah State University, Logan, UT (Master Thesis.) [html]
Player, Kevin J.
 K.T. Arasu, Kevin J. Player, A New Family of Cyclic Difference Sets with Singer Parameters in Characteristic Three,
Designs Codes and Cryptography
, submitted 2000
 K.T Arasu, Henk D. L. Hollmann, Kevin J. Player, Qing Xiang, On the pRanks of GWM Difference Sets,
"Special issue in honor of Prof. RayChaudhuri's 65th birthday" of OSU math research monograph series
, submitted 2000
Potter, Harrison
 Harrison Potter, On Conformal Mappings and Vector Fields,
OhioLINK Electronic Theses and Dissertations Center
(May, 2008) [view.cgi] [abs]
 VX Dang, H Potter, S Glasgow and S Taylor, Pricing the Asian Call Option,
Electronic Proceedings of Undergraduate Mathematics Day, vol. 3 no. 3
(February, 2008),
pp. 26 [available here] [abs]
Rose, David E.
 David E. V. Rose, A categorification of quantum $\mathfrak{sl}_3$ projectors and the $\mathfrak{sl}_3$ ReshetikhinTuraev invariant of tangles,
arXiv:1109.1745v1 [math.GT]
(2011)
 David E. V. Rose, A note on the Grothendieck group of an additive category,
arXiv:1109.2040v1 [math.CT]
(2011)
 David E. V. Rose and Ilya M. Spitkovsky, On the stabilization of the Aluthge sequence,
International Journal of Information and Systems Sciences, vol. 4 no. 1
(Spring, 2008),
pp. 178189, ISSN 1708296X
 David E. V. Rose and Ilya M. Spitkovsky, On the numerical range behavior under the generalized Aluthge transform,
Linear and Multilinear Algebra, vol. 56 no. 1&2
(January, 2008),
pp. 163177, Taylor and Francis
Ryu, Hwayeon
 Hwayeon Ryu and Anita T. Layton, Feedbackmediated dynamics in a model of coupled nephrons with compliant short loop of Henle,
AMS Contemporary Mathematics, Biological Fluid Dynamics: Modeling, Computations, and Applications
(March, 2013)
 Hwayeon Ryu and Anita T. Layton, Tubular fluid flow and distal NaCl delivery mediated by tubuloglomerular feedback in the rat kidney,
J Math Biol
(March, 2013)
 Hwayeon Ryu and Anita T. Layton, Effect of Tubular Inhomogeneities on FeedbackMediated Dynamics of a Model of a Thick Ascending Limb,
Math Med Biol, vol. 30 no. 3
(2013),
pp. 191212
 Anita T. Layton, Philip Pham, and Hwayeon Ryu, Signal transduction in a compliant short loop of Henle,
Int J Numer Methods Biomed Eng, vol. 28 no. 3 (2012), pp. 369380
Sgouralis, Ioannis
 Ioannis Sgouralis, and Anita T. Layton, Theoretical Assessment of Renal Autoregulatory Mechanisms,
Am J Physiol Renal Physiol
(March, 2014)
 Yi Li, Ioannis Sgouralis, and Anita T. Layton, Computing viscous flow in an elastic tube,
Numer Math Theor Meth Appl
(2014)
 Brendan C. Fry, Aurelie Edward, Ioannis Sgouralis, and Anita T. Layton, Impact of renal medullary threedimensional architecture on oxygen transport,
Am J Physiol Renal Physiol
(2014)
 Ioannis Sgouralis, and Anita T. Layton, Control and modulation of fluid flow in the rat kidney,
Bull Math Biol (2013) 75:25512574
(December, 2013) [doi]
 Ioannis Sgouralis, and Anita T. Layton, Autoregulation and conduction of vasomotor responses in a mathematical model of the rat afferent arteriole,
Am J Physiol Renal Physiol, vol. 303
(July, 2012),
pp. F229F239 [doi]
 Jing Chen, Ioannis Sgouralis, Leon C. Moore, Harold E. Layton, and Anita T. Layton, A Mathematical Model of the Myogenic Response to Systolic Pressure in the Afferent Arteriole,
Am J Physiol Renal Physiol, vol. 300
(March, 2011),
pp. F669F681 [doi]
Smith, Abraham D
 Rann BarOn, Paul Bendich, Benjamin Cooke, Michael Gratton, Timothy Lucas, Michael Nicholas, Nicholas Robbins, Abraham Smith, Joseph Spivey, Graduate Calculus Curriculum Review, Spring 2007
(March, 2007) [pdf] [abs]
Spivey, Joseph A.
 J.A. Spivey, J.Bookman, Approximating Definite Integrals
(Summer, 2007) [Spivey/Teaching.html] [author's comments]
Steenbergen, John J
 J.J. Steenbergen, Caroline Klivans, Sayan Mukherjee., “A CheegerType Inequality on Simplicial Complexes”
(September, 2012) (Under Review, Advances in Applied Mathematics.) [5091]
Streets, Jeffrey D.
 J.D. Streets, The Gradient Flow of $\int_M  \Rm^2$,
Journal of Geometric Analysis
(2006) [pdf]
 J.D. Streets, QuasiLocal Mass Functionals and Generalized Inverse Mean Curvature Flow,
Communications in Analysis and Geometry
(2006) [pdf]
Teguia, Alberto M
 with A Petters, A Mathematical Theory of Stochastic Microlensing III. Densities for Radial, Spatial Distributions with General Random Mass Spectrum
(2010)
 A. Petters, A Mathematical Theory of Stochastic Microlensing. IV. Global Expectations and Shear for Radial Distributions with a General Mass Spectrum
(2010)
 with A. Petters and B. Rider, A Mathematical Theory of Stochastic Microlensing II. Random Images, Shear, and the KacRice Formula,
Journal of Mathematical Physics, vol. 50
(December, 2009),
pp. 122501
 with A. Petters and B. Rider, A Mathematical Theory of Stochastic Microlensing I. Random TimeDelay Functions and Lensing Maps,
Journal of Mathematical Physics, vol. 50
(October, 2009),
pp. 072503
 with J. Gardner, A. Godbole, A. Vuong, N. Watson, and C. Yerger, Domination Cover Pebbling: Graph Families,
Journal of Combinatorial Mathematics and Combinatorial Computing
(November, 2008) [math/0507271v1]
 with A. Godbole, Sierpinski Gasket Graphs and Some of their Properties,
Australasian Journal of Combinatorics, vol. 35
(June, 2006),
pp. 181192 [math/0509259v1]
Thomas, Ashleigh L.
 J. Brindza, A. Thomas, S. Lee, W. McDermid, Y. He, and D. Lee, Active Sound Localization in a Symmetric Environment,
Int J Adv Robot Syst, vol. 10 no. 301
(2013) [pdf]
Thomas, Rachel L.
 Reed M, Thomas R, Pavisic J, James SJ, Ulrich C, Nijhout HF, A Mathematical Model of Glutathione Metabolism,
Theoretical Biology & Medical Modelling
(April, 2008) [8]
 Petronella SA, Thomas RL, Stone JA, Goldblum RM, Brooks EG, Clearing the Air: A Model for Investigating Indoor Air Quality in Texas Schools,
Journal of Environmental Health, vol. 67
(June, 2005)
 Rhoades RC, Thomas RL, When Abelian Groups Split,
RoseHulman Mathematical Sciences Technical Report Series, vol. 0301
(2003)
Vagner, Dmitry
 Dmitry Vagner, David I. Spivak, Eugene Lerman, Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams,
Theory and Application of Categories, vol. 30 no. 51
(December, 2015),
pp. 17931822 [html]
Watanabe, Tatsunari
 T. Watanabe, Rational points of universal curves in positive characteristics
(2014) [arxiv.org/abs/1410.3020]
Williamson, Brendan D.
 B. Williamson, Large deviation theory: estimating the probabilities of rare events,
Irish Undergraduate Mathematical Magazine
(Summer, 2013)
Xu, Feng
 F. Xu, SU(3) structures and special Lagrangian geometries
(November, 2006)
Xu, Hangjun
 H. Xu, Uniformly Area Expanding Flows in Spacetimes (theis, Duke University)
(April, 2014) [Xu_duke_0066D_12371.pdf]
Yao, Dong
 van der Hoorn, P, Average nearest neighbor degrees in scalefree networks,
Internet Mathematics
(January, 2018) [doi]
Zhang, Yuan
 with J. Liu, Convergence of DiffusionDrift Many Particle Systems in Probability under Sobolev Norm
(April, 2015)
 with A, Lloyd, Weak Convergence of a Seasonally Forced Stochastic Epidemic Model
(2015) [arXiv: 1412.0964]
 with R. Durrett, Exact solution for a metapopulation version of Schelling’s model,
Proceedings of the National Academy of Science, vol. 111 no. 39
(September, 2014),
pp. 14036–14041 [pdf], [doi]
 with R. Durrett and T. Liggett, Contact Process with Fast Voting,
Electronic Journal of Probability, vol. 19 no. 28
(March, 2014) [pdf]
 with N. Lanchier, Some rigorous results for the stacked contact process
(2014) [arXiv:1410.3842]
 with X. Yin, W. Nolte and S. Tantum, On marine mammal acoustic detection performance bounds (conference version),
167th Meeting of the Acoustical Society of America
(2014)
 with R. Durrett, Coexistence of Grass, Saplings and Trees in the StaverLevin Forest Model,
Annals of Applied Probability
(2014)


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

