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Faculty Preprints

Marcelo Aguiar

Marcelo Aguiar, Nantel Bergeron, and Frank Sottile, Combinatorial Hopf algebras and generalized Dehn-Sommerville equations. (October 2003, 34 pages.) To appear in Compositio Mathematica.
Marcelo Aguiar and Nicolás Andruskiewitsch, Representations of matched pairs of groupoids and applications to weak Hopf algebras. (January 2004, 41 pages.) To appear in Contemporary Mathematics.
Marcelo Aguiar and Frank Sottile, Cocommutative Hopf algebras of permutations and trees. (February 2004, 15 pages.) To appear in Journal of Algebraic Combinatorics.

G. Donald Allen

G.D. Allen and Paul Nelson, Linear one-cell functional methods for the two dimensional transport education, Part I: The nodal formulation,Ann. Nucl. Sci. and Eng., 25 pages.
G.D. Allen, Can an online mathematics course work to appear in the College Mathematics Journal,34 (2003), no. 4, 270-279.
G.D. Allen and M. Pilant, Online masters of mathematics degree program - quality issues, Computers in Schools, to appear.

Michael Anshelevich

M. Anshelevich, Free evolution on algebras with two states, Journal für die reine und angewandte Mathematik, accepted.
M. Anshelevich, Appell polynomials and their relatives II. Boolean theory, Indiana University Mathematics Journal accepted.
M. Anshelevich, Appell polynomials and their relatives III. Conditionally free theory.

Wolfgang Bangerth

W. Bangerth, A framework for the adaptive finite element solution of large inverse problems, SIAM Journal on Scientific Computing, 2008, accepted.

Guy Battle

G. Battle, An Intrinsic Cluster Expansion for Statistical Mechanics, Texas A&M Univ.
P. Federbush, R. Robinson, and G. Battle, Tree Graphs and Quasi-Bounded Spin Systems, Texas A&M Univ.
G. Battle, Non-Gaussion α-Positivity of φ²ⁿ_d Field Theories II, Texas A&M Univ.
G. Battle, Phase Cell Cluster Expansion of Group-Valued Sigma Models, Part I: Phase Cell Positivity in the Small-Field Region, Univ. of British Columbia.
P. Federbush and G. Battle, The Phase Cell Approach to the Non-Linear σ-Model, Part I: Lattice-Continuum Duality, Univ. of Michigan.
P. Federbush and G. Battle, The Phase Cell Approach to the Non-Linear σ-Model, Part II: Modified Block Spin and Local Stability, Univ. of Michigan.
P. Federbush and G. Battle, A Note on Divergence-Free Vector Wavelets, Univ. of Michigan.
G. Battle, Two Scalar Analogs of Yang Mills Theory, Texas A&M Univ.
G. Battle, Plasma Confinement in Four Space Dimensions, Texas A&M Univ.
G. Battle, Structure of the RG Transformation for the Osiris Dipole Gas, Texas A&M Univ.
G. Battle, Complete Sets of Osiris Wavelets in Two and Three Dimensions, Texas A&M Univ.
G. Battle, Isis Variables and Central Variables, Texas A&M Univ.

Ioan Bejenaru

I. Bejenaru and D. Tataru, Global wellposedness in the energy space for the Maxwell-Schrödinger system.
I. Bejenaru and D. Tataru, Large data local solutions for the derivative NLS equation, Journal of European Math. Soc., to appear.
I. Bejenaru and D. Tataru, Low regularity solutions for a 2D quadratic non-linear Schroedinger equation, Transactions AMS, to appear.

Gregory Berkolaiko

G. Berkolaiko, J.M. Harrison and M. Novaes, On inequivalent factorizations of a cycle.
G. Berkolaiko, J.M. Harrison and J.H. Wilson, Mathematical aspects of vacuum energy on quantum graphs.
G. Berkolaiko and B. Winn, Relationship between scattering matrix and spectrum of quantum graphs, Transactions of the AMS, to appear.
J.A.D. Appleby, G. Berkolaiko and A. Rodkina, Non-exponential stability and decay rates in nonlinear stochastic difference equation with unbounded noises, Stochastics and Stochastics Reports, to appear.

G.R. Blakley

Bob Blakley and G.R. Blakley, All sail, no anchor III: SSS and hashes as coobjects, Proceedings of ACISP 2005.

Andrea Bonito

A. Bonito, A. Caboussat, M. Picasso, and J. Rappaz, A numerical method for fluid flows with complex free surfaces, Computational Modeling with Partial Differential Equations in Science and Engineering, Springer Series in Scientific Computations, to appear.

James H. Bramble

James H. Bramble, Raytcho D. Lazarov, and Joseph E. Pasciak, Least-squares methods for linear elasticity based on a discrete negative norm.
James H. Bramble and Jinchao Xu, Some estimates for a weighted L² projection.

Huai-Dong Cao

Huai-Dong Cao, Ying Shen, and Shunhui Zhu, A new Poincaré type inequality.
Huai-Dong Cao and Jian Zhou, Degenerate Chern-Weil theory and equivariant cohomology.

Goong Chen

G. Chen, Z. Zhang, Z. Diao and P.R. Hemmer, NMR quantum computing, Advances in Mechanics and Mathematics, Vol.~III, D.Y. Gao and H.D. Sherali (eds.), Springer, Heidelberg, 2008, to appear.
G. Chen, A. Svidzinsky, S. Chin, M. Kim, D. Ma, R. Murawski, A. Sergeev, M.O. Scully and D. Herschbach, Bohr model and dimensional scaling analysis of atoms and molecules, International Reviews in Physical Chemistry, 2008, to appear.

Andrew Comech

A. Comech and A. Komech, Global attraction to solitary waves for Klein-Gordon equation with mean field interaction, Annales de l'Institute Henri Poincaré (Analyse non linéaire). to appear.

Prabir Daripa

P. Daripa, A remark on the selection mechanism of the zero surface tension limit bubble, Appl. Numer. Math., 8 pages, to appear.
P. Daripa and B. Dandapat and P.C. Ray, An asymptotic study of film thinning process on a spinning annular disk, J. Appl. Phys., Sept. Issue., 26 pages, to appear.

Dante DeBlassie

D. DeBlassie, The growth of the Martin kernel in a horn-shaped domain, Indiana University Mathematical Journal, to appear.

Ronald DeVore

R. DeVore, P. Binev, A. Cohen, and W. Dahmen, Universal algorithms for learning theory part II: piecewise polynomials.
R. DeVore, R. Baraniuk, M. Davenport, and M. Waken, The Johnson-Lindenstrauss lemma meets compressed sensing.
R. DeVore, A. Cohen and W. Dahmen), Compressed sensing and best k-term approximation.
R. DeVore, P. Binev, M. Hielsberg, L. S. Johnson, B. Karaivanov, B. Lane, and R. Sharpley, Geometric encoding of natural and urban terrains.

Kenneth J. Dykema

K. Dykema and D. Shlyakhtenko, Exactness of Cuntz-Prinsner C^*-algebra.
K. Dykema, H. Bercovici, B. Collins, W.S. Li, and D. Timotin, Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor.
K. Dykema and B. Collins, A linearization of Connes' embedding problem.
K. Dykema and B. Collins, On a reduction procedure for Horn inequalities in finite von Neumann algebras.
K. Dykema and F. Fidaleo, Unique mixing of the shift on the C*-algebras generated by the q-canonical commutation relations, Houston Math. J.to appear.
K. Dykema, A. Sinclair, R. Smith, and Stuart White, Generators of II₁ factors, Oper. Matrices, to appear.
K. Dykema and B, Abadie, Unique ergodicity of free shifts and some other automorphisms of C*-algebras, J. Operator Theory, to appear
K. Dykema and H. Schultz, Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions, Trans. Amer. Math.Soc., to appear.

Yalchin Efendiev

Y. Efendiev and L. Durlofsky, Modeling of subgrid effects in coarse scale simulations of two phase flow in heterogeneous formations, Water. Resour. Res., accepted.

Tamás Erdélyi

P. Borwein, T. Erdélyi, and J. Zhang, Orthogonality and irrationality.

Richard E. Ewing

R.E. Ewing, An accurate simulator to compressible flow in porous media with wells, Proceedings of the XIII International Conference on Computational Methods in Water Resources, Calgary, Alberta, Canada, 25-29 June, 2000, to appear.
R.E. Ewing, A.M. Spagnuolo, Difficulties and uncertainty in mathematical/numerical modeling fluid flow in fractured media, Fracture and In-situ Stress Characterization of Hydrocarbon Reservoirs, Geological Society of London, London, England, accepted.

Junsheng Fang

J. Fang, On completely singular von Neumann subalgebras, Proceedings of the Edinburgh Mathematical Society, to appear.

Lenny Fukshansky

Lattice points in homogeneously expanding compact domains, one section of the omnibus problems article "Problems from the cottonwood room" (with Matthias Beck, Beifang Chen, Christian Haase, Allen Knutson, Bruce Reznick, Sinai Robins, Achill Schuermann), to appear in Contemporary Mathematics (Proceedings of the Summer 2003 AMS/MAA/SIAM Conference on Integer Points in Polyhedra).
Integral points of small height outside of a hypersurface, submitted September 2004.
Siegel's lemma with additional conditions, submitted January 2005.
On effective Witt decomposition and Cartan-Dieudonné theorem, submitted January 2005.

Stephen A. Fulling

S. A. Fulling, Minakshisundaram and the birth of geometric spectral asymptotics, J. Assn. Math. Teachers Andhra Pradesh, 2004.
S. A. Fulling, How to avoid the inverse secant (and even the secant itself), to College Mathematics Journal (6 pages), accepted.
S. A. Fulling, Large numbers, the Chinese remainder theorem, and the circle of fifths. Preprint available
S. A. Fulling, How to do without the inverse secant (and even the secant itself). Preprint available

Susan Geller

L. Hinton, M. Haan, S. Geller, and D. Mingus, Neuropsychiatric symptoms in Latino elderly with dementia and mild cognitive impairment and factors that modulate their association with caregiver depression, The Gerontologist, accepted.

Julien Giol

J. Giol and D. Kerr, Subshifts and perforation, J. Reine. Angew. Math, to appear.
J. Giol, L. Kovalev, D. Larson, N. Nguyen, and J. Tener,Projections and idempotents with fixed diagonal.

Yuliya Gorb

Y. Gorb, L. Berlyand, and A. Novikov, Anomalous blow-up of the effective viscous dissipation rate in 2D model of concentrated suspensions,The Archive for Rational Mechanics and Analysis, accepted.

Rostislav Grigorchuk

R.I. Grigorchuk and Z. Sunik, Schreier spectrum of the Hanoi towers group on three pegs, Proceedings of Symposia in Pure Mathematics, 2008, 16pp, accepted.
R.I. Grigorchuk and J.S. Wilson, A rigidity property concerning abstract commensurability of subgroups, Journal of London Mathematical Society, to appear.

Arthur Hobbs

Herbert Fleischner, Arthur Hobbs Michael Muzheve, and Gert Sabidussi, Vertex envelopes of plane cubic graphs (28 pages).

Peter Howard

P. Howard, Spectral analysis of stationary solutions of the Cahn-Hilliard equation, 2008.
P. Howard, Spectral analysis of planar transition fronts for the Cahn-Hilliard equation, J. Differential Equations, to appear.

William B. Johnson

W.B. Johnson, V. P. Fonf, A. M. Plichko, and V. V. Shevchyk, Covering a compact set in a Banach space, Trans. AMS.

Guido Kanschat

R.H.W. Hoppe, G. Kanschat and T. Warburton. Convergence analysis of an adaptive interior penalty discontinuous Galerkin method, SIAM J. Numer. Anal. 2008, to appear.

David Kerr

D. Kerr, H. Li and M. Pichot, Turbulence, representations, and trace-preserving actions, 2008.
J. Giol and D. Kerr, Subshifts and perforation, J. reine angew. Math. 12 pages, to appear.
D. Kerr and H. Li, On Gromov-Hausdorff convergence for operator metric spaces,J. Operator Theory 25 pages, to appear.

Thomas Kiffe

T. Kiffe, J. Matis, and Eric Renshaw, Cumulants and a saddlepoint approximation for the equilibrium distribution of the stochastic logistic model, Ecological Modeling, (22 pages).

Andreas Klappenecker

Bob Blakley, Itshak Borosh, and Andreas Klappenecker,Constructions and Categories of Codes

Keri Kornelson

K. Kornelson, K. Dykema, D. Freeman, D. Larson, M. Ordower, and E. Weber, Ellipsoidal tight frames and projection decomposition of operators, submitted.
K. Kornelson, Local solvability of Laplacian difference operators arising from the discrete Heisenberg group, submitted.

David Larson

David Larson, Darrin Speegle, Eckart Schulz, and Keith Taylor, Explicit cross sections of singly generated group actions, to appear as original research in a chapter in a book edited by Chris Heil (who solicited the chapter from me), completed May 2004, accepted July 2004.

Aaron Lauve

A. Lauve, J. Berstel, C. Reutenauer, and F.V. Saliola, Combinatorics on words: Christoffel words and repetitions in words, CRM Monograph Series, Vol. 27, AMS.
A. Lauve, A. Glen, and F.V. Saliola, A note on the Markoff condition and central words, Inform. Process. Lett..
A. Lauve amd F. Bergeron, Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables DMTCS Proc. (FPSAC2008), to appear.
A. Lauve, Quasideterminants and q-commuting minors.
A. Lauve, Flag varieties for the Yangian Y(gl_n).

Raytcho D. Lazarov

Bosko Jovanovic, Raytcho D. Lazarov, andIvan Sestak, A note on theleast-squares finite elements for mixed elliptic problems.
Raytcho D. Lazarov, Joseph E. Pasciak, and Stanimire Z.Tomov, Error control,local grid refinement, and efficient solution algorithms for singularlyperturbed problems.

Paulo Lima-Filho

Ralph L. Cohen and Paulo Lima-Filho, An algebraic geometric realization of the Chern character.
Paulo Lima-Filho, Algebraic families ofE-infinity spectra.

Carlton J. Maxson

C.J. Maxson and A.B. van der Merwe, Forcing linearity numbers for finitely generated modules, Rocky Mt. Journal of Math., to appear.

Francis Narcowich

M. H. Mhaskar, F.J. Narcowich and J.D. Ward, Neural Network Frames onthe Sphere, Neural networks.

Volodymyr Nekrashevych

N. Nekrashevych, Combinatorial models of expanding dynamical systems.
N. Nekrashevych, L. Bartholdi and V. Kaimanovich, On amenability of automata groups.
N. Nekrashevych, Free subgroups in groups acting on rooted trees.
N. Nekrashevych, An uncountable family of three-generated groups acting on the binary tree.

Kathryn Nyman

K. Nyman and E. Swartz, Inequalities for the h and flag h-vectors of geometric lattices.

Joseph E. Pasciak

Raytcho D. Lazarov,Joseph E. Pasciak, and Stanimire Z. Tomov, Error control, local grid refinement, and efficient solution algorithms for singularly perturbed problems.

Carl Pearcy

Some nonhypertransitive operators (with I.B. Jung and E. Ko), Integral Equations and Operator Theory (2003).
On quasinilpotent operators, III (with C. Foias, I.B. Jung and E. Ko), Acta Sci. Math. (Szeged).
Every operator almost commutes with a compact operator (with I.B. Jung and E. Ko), Proc. Amer. Math. Soc.

Guergana Petrova

A. Chertock, A. Kurganov, G. Petrova, Finite-volume-particle methods for models of transport of pollutant in shallow water, J. Sci. Comput.
P. Bechler, R. DeVore, A. Kamont, G. Petrova, P. Wojtaszczyk, Greedy wavelet projections are bounded on BV, Trans. Amer. Math. Soc.

Michael Pilant

M. Pilant, R. Hall, J. Epstein, Y. Hester, and A. Strader, Issuesinvolved in a large scale implementation of web-based mathematics instruction,International Conference on Mathematics/Science Education and TechnologyConference Proceedings,1999.

Gilles Pisier

Are unitarizable groups amenable? Proc. Gaeta Conference in honor of Grigorchuk's 50th birthday, accepted.
G. Pisier, An Introduction to the Theory of Operator Spaces, Book, (430 p.) London Math. Soc. Lecture Notes, Cambridge Univ. Press. (To appear in 2003.)

Alexei Poltoratski

A. Poltoratski, Asymptotic behavior of arguments of Cauchy integrals.
A. Poltoratski and C. Remling, Reflectionless Herglotz functions and Jacobi matrices.
A. Poltoratski and N. Makarov, Beurling-Malliavin theory for Toeplitz kernels.
A. Poltoratski, M. Melnikov and A. Volberg, Uniqueness theorems for Cauchy integrals.
A. Poltoratski and E. Abakumov, Pseudocontinuation and cyclicity of random power series.

J. Maurice Rojas

Counting Isolated Roots of Trinomials in the Plane and Beyond, (withTien-Yien LI and Xiaoshen WANG), submitted for publication.

Jaydeb Sarkar

J. Sarkar and R.G. Douglas, Essentially reductive weighted shift Hilbert modules, J. Operator Theory, to appear.
J. Sarkar and R.G. Douglas, On unitarily equivalent submodules, Indiana University Mathematics J., to appear.
J. Sarkar, Reducing subspaces for a class of tuple of operators.

Vincent Schielack

V. Schielack, A tournament sum of geometric sequences, Math.Magazine.

Thomas B. Schlumprecht

T. Schlumprecht, G. Androulakis, E. Odell and N. Tomczak-Jaegermann, On the structure of the spreading models of a Banach space, Proceedings of the Canadian Mathematical Society, to appear.
Thomas B. Schlumprecht,On the robustness of option pricing.
Thomas Schlumprecht and G. Androulakis, On the subsymmetric sequencesin S.
Thomas Schlumprecht and G. Androulakis, Block sequences in S.

Roger Smith

R.R. Smith, K. Dykema, A. Sinclair, and S. White, Generators of II₁ factors, Operators and Matrices, to appear.

Frank Sottile

F. Sottile, K. Ranestad and H-C. Graf von Bothmer, Linear precision for toric surface patches, 25 pages.
F. Sottile and F. Bihan, Betti number bounds for fewnomial hypersurfaces via stratified Morse theory, 7 pages.
F. Sottile and A. Leykin, Galois groups of Schubert problems via homotopy computation, 17 pages.

Peter F. Stiller

Peter F. Stiller, An introduction to thetheory of resultants.
Peter F. Stiller, Sparse resultants.
Stiller, P. F., Polynomials: Resultants and Invariants, Encyclopedia of Electrical and Electronics Engineering John Wileyand Sons Publishers, Vol. 16, pp. 539-551 (1999). (invited article)

Emil Straube

E.J. Straube and M. Celik, Observations regarding compactness in the d-bar-Neumann problem, Complex Variables and Elliptic Equations, to appear.

Steven D. Taliaferro

Steven D. Taliaferro,On the growth of superharmonic functions near an isolated singularity.

Bruce Treybig

D. Daniel, J. Nikiel, L.B. Treybig, H.M. Tuncali, and E.D. Tymchatyn, Concerning continua that contain no nondegenerate metric subcontinuum, Houston J. Math., to appear.

Mariya Vorobets

M. Vorobets and Y. Vorobets, On a free group of transformations defined by an automaton.
M. Vorobets and Y. Vorobets, On a series of finite automata defining free transformation groups.
M. Vorobets, B. Steinberg, and Y. Vorobets, Automata over a binary alphabet generating free groups of even rank.
M. Vorobets, On the L-representation of the Grigorchuk group.

Jay Walton

E. Aulisa, A.I. Ibragimov, P. Valko, and J.R. Walton, Mathematical framework of the well productivity index for fast Forchheimer (non-Darcy) flows in porous media, Math. Mod. Meth. Appl. Sci. (2008), to appear.
E. Aulisa, A.I. Ibragimov and J.R. Walton, A new method for evaluating the productivity index for nonlinear flows, SPE Journal (2008), to appear.
J.R. Walton and T.L. Leise, Dynamically accelerating cracks 3: Two growing and coalescing mode III cracks in elastic material, (1999).

Joseph D. Ward

J.D. Ward, Direct and inverse theorems for RBF-type functions: implications and applications, Proceedings of Approximation Theory XII, San Antonio, TX, 2007, to appear.

Sarah Witherspoon

S. Witherspoon and Julia Pevtsova, Varieties for modules of quantum elementary abelian groups, Algebras and Rep. Th. , to appear.

Catherine Huafei Yan

C.H. Yan and S. Poznanovik, Crossings and nestings of two edges in set partitions.
C.H. Yan, J. Kung, A. de Mier, and X. Sun, Lattice and Schroder paths with periodic boundaries, J. of Statistical Planning and Inference, accepted.
C.H. Yan, R. Ellis and V. Ponomarenko, How to play the one-lie Renyi-Ulam game,Discrete Mathematics, accepted.
Ronald L. Graham, Jeffrey C. Lagarias, Colin L.Mallows, Allan R. Wilks, and Catherine H. Yan,Integral Apollonian circle packings.
C.H. Yan and J. Spencer, A ball-allocation problem and the branching process,(2000).
J. Spencer and C.H. Yan, An enumeration problem and the branching process, Combinatorics, Probability and Computing,(20 pages).
C.H. Yan, J. Kung and X. Sun, Goncarov-type polynomials and applications in combinatorics.

Matthew Young

M. Young, The first moment of quadratic Dirichlet L-functions, Acta Arithmetica, accepted.
M. Young, Moments of the critical values of families of elliptic curves, with applications, Canadian Journal of Mathematics, accepted.

Jian Zhou

Huai-Dong Cao and Jian Zhou, Degenerate Chern-Weil theory and equivariant cohomology.
Huai-Dong Cao and Jian Zhou, Formal Frobenius manifold structure on equivariant cohomology, Communications in Contemporary Mathematics, to appear.
Huai-Dong Cao and Jian Zhou,Frobenius manifold structure on Dolbeault cohomology and mirror symmetry.
Puhong You and Jianxin Zhou, Robust boundary control of the Stokes fluids with boundary point observations

Joel Zinn

Geoffrey Pritchard and Joel Zinn,A converse exponential inequality.
Joel Zinn and M. Ledoux, Probabilistic Limit Theorems, Invited to be in Handbook in Banach spaces (with M. Ledoux). 26 pages

Last modified July 18, 2005 by RLC