For more recent publication information, please see the individual
pages linked to under People. The list below is no longer being updated.
Below is an archival list of several of the papers written by
members of the analysis group between 1999 and 2007. If an electronic copy of a paper is available, there is a link like this: PDF next to it. All of the papers are in .pdf format; to read such files you must have a .pdf reader installed on your computer. If you don't have one (which is rare) you can download the Abobe Reader or Xpdf. For a greater choice of .pdf readers, a list can be found here.
Preprints
- A. Carbery, F. Soria and A. Vargas, Localisation and Weighted Inequalities for
Spherical Means, to appear, Journal d'Analyse. Math. PDF
- J. Bennett, A. Carbery, F. Soria and A. Vargas, A Stein conjecture
for the circle, to appear, Math. Annalen. PDF
- A. Carbery, B. Stones and J. Wright, Averages in vector spaces over
finite fields, to appear, Math. Proc. Camb. Phil. Soc. PDF
- J. Bennett, A. Carbery and T. Tao, The multilinear Kakeya and restriction problems, to appear, Acta Mathematica. PDF
- J. Bennett, A. Carbery, M. Christ and T. Tao, The Brascamp-Lieb inequalities: finiteness, structure and extremals, to appear,
Geom. and Funct. Anal. PDF
- J. Bennett, A. Carbery, M. Christ and T. Tao, Finite bounds for Holder-Brascamp-Lieb multilinear inequalities, to appear, Math.
Res. Lett. PDF
- A. Carbery, C. E. Kenig and S. Ziesler, Restriction for flat hypersurfaces, to appear, Proc. Amer. Math. Soc. PDF
- J. A. Barcelo, J. M. Bennett and A. Carbery, A note on localised weighted
inequalities for the extension operator, submitted. PDF
- J. A. Barcelo, J. M. Bennett, A. Carbery, A. Ruiz and M. C. Vilela, Some special solutions of the Schrodinger equation, submitted.
PDF
- A. Carbery, Almost-orthogonality in the Schatten-von Neumann classes, submitted. PDF
- R. Jones, A. Seeger and J. Wright, Variational and jump inequalities in harmonic analysis, submitted. PDF
- M. Folch-Gabayet and J. Wright, Singular and maximal operators associated to curves with rational components, to appear Trans.
Amer. Math. Soc. PDF
- N. Bournaveas and S. Gutierrez, On the regularity of averages over spheres for kinetic transport equations in
hyperbolic Sobolev spaces, to appear in Revista Matematica Iberoamericana. PDF
- N. Bournaveas, V. Calvez, S. Gutierrez and B.Perthame, Global solutions for a kinetic model of chemotaxis via dispersion and Strichartz
estimates, to appear in Communications in Partial Differential Equations PDF.
- S. Popa, A. M. Sinclair and R.R. Smith, Perturbation properties of type $II_1$ factors
- N. Laghi and N. Lyall, Nonisotropic hypersingular integrals on R^d, in preparation
- N. Laghi and N. Lyall, Sharp L^2 regularity of hypersingular integrals on the Heisenberg group, in preparation
- N. Laghi and N. Lyall, Radon transforms on the Hesisenberg group: oscillatory integral techniques, in preparation
- N. Laghi, Elements of functional calculus and $L^2$ regularity for some classes of Fourier integral operators
- A. M. Sinclair and S. White, A note on automorphisms of group $II_1$ factors, submitted.
- A. M. Sinclair and S. White A continuous path of singular masas in the hyperfinite $II_1$ factor, accepted J. London Math. Soc.
- A. M. Sinclair, R. Smith, S. White and A. Wiggins, Strong singularity of singular masas in $II_1$ factors, accepted Illinois J. Math
- M. Dindos, S. Petermichl, J. Pipher, The L^p Dirichlet problem for second order elliptic operators and p-adapted square function,
Journ. Of Funct. Anal. To appear PDF
- M. Dindos, Large solutions for Yamabe and similar problems on domains in Riemannian manifolds, Journ. Of Funct. Anal. To appear PDF
- M. Dindos, Hardy spaces and potential theory for C1 domains in Riemannian manifolds, Memoirs of AMS to appear. PDF
2006
- A. Carbery, S. Wainger and J. Wright, Singular Integrals and the Newton Diagram, Collect. Math. Extra Volume (2006), 171-194. PDF
- S. White, Tauer masas in the hyperfinite $II_1$ factor Quart. J. Math. 2006 57(3):377--393
- N. Bournaveas and D. Gibbeson, Global charge class solutions of the Dirac-Klein-Gordon equations in one space dimension,
Differential and Integral Equations, vol 19, no. 9 (2006), pp. 1001-1018 PDF
- N. Bournaveas, On a class of nonlinear wave equations related to the Dirac-Klein-Gordon system with generalized Yukawa interaction,
Hokkaido Mathematical Journal, vol 35 (2006), pp 229-246. PDF
- N. Bournaveas and D. Gibbeson, Low regularity global solutions of the Dirac-Klein-Gordon equations in one space dimension,
Differential and Integral Equations, vol 19, no. 2 (2006), pp. 211-222. PDF
- I. Gyöngy and A. Shmatkov, Rate of convergence of Wong-Zakai
approximations for stochastic partial differential equations, Applied Mathematics and Optimization,
54, 315--341.
- A. Alabert and I. Gyöngy, On numerical approximation of stochastic
Burgers' equations, From Stochastic Calculus to Mathematical Finance, The Shiryaev Festschrift, 1--15,
Springer 2006.
- I. Gyöngy and T. Martinez, On the approximation of solutions of
stochastic partial differential equations of elliptic type, Stochastics, Volume 78, Number 4, 213-241.
- I. Gyöngy and N. Krylov, An accelerated splitting-up method for
parabolic equations, SIAM Journal on Mathematical Analysis, 37, 1070--1097.
- I. Gyöngy and N. Krylov, On acceleration of approximation methods,
Stochastic Partial differential Equations and Applications -- VII, Eds: Giuseppe Da Prato
and Luciano Tubaro, pp 149--167, Series of Lecture Notes in Pure and Applied Mathematics, Volume 245, Chapman and
Hall/CRC 2006.
- I. Gyöngy and N. Krylov, Cauchy problems with periodic controls,
Collect. Math., Vol. Extra, 255-273.
- I. Gyöngy and N. Krylov, Expansion of solutions of parametrized
equations and acceleration of numerical methods, Illinois Journal of Mathematics, 50,
473-514. Special Volume in Memory of Joseph Doob (1910 - 2004).
- J. A. Barcelo,
J. M. Bennett and A. Ruiz, Spherical perturbations of
Schrodinger equations, J. Four. Anal. Applns 12, 269--290.
2005
- A. Seeger, S. Wainger, J. Wright and S. Ziesler, Singular integral and maximal operators associated to hypersurfaces: L^p theory J. Geom. Anal. 15, no. 3, 495--516. PDF
- A. M. Sinclair and R. R. Smith, The Pukanszky invariant for masas in group von Neumann algebras Illinois J Math, to appear.
- N. Bournaveas, On a class of non-linear wave equations, Proceedings of the AMS 133 2721-2727.
- M. Cowling, B. Dorofaeff, A. Seeger J. Wright, A family of singular oscillatory integral operators and failure of weak amenability Duke Math. J. 127 no. 3, 429-485. PDF
- J. Bennett, A. Carbery and J. Wright, A nonlinear generalisation of the Loomis-Whitney inequality and applications, Math. Res. Letters 12, no. 4, 443-457. PDF
- I. Gyöngy and T. Martinez, Solutions of stochastic partial
differential equations as extremals of convex functionals, Acta Mathematica Hungarica 109 (1--2), 127-145.
- I. Gyöngy and A. Millet, On discretization schemes for nonlinear
SPDEs, Potential Analysis, 23, 99--134.
- G. Costakis, Zeros and
interpolation by universal Taylor series on simply connected
domains, Math. Proc. Camb. Phil. Soc. 139, 149--159.
2004
- A. Carbery, A multilinear generalisation of the Cauchy-Schwarz inequality, Proc. Amer. Math. Soc. 132, 3141--3152.
- J. A. Barcelo, Jonathan Bennett and Anthony Carbery, A Multilinear Extension Inequality in R^n, Bulletin of the London Mathematical Society, 36 (3), 407--412.
- A. Seeger, J. Wright & T. Tao, Singular maximal functions and Radon transforms near L^1 Amer. J. Math. 126 no. 3, 607-647. PDF
- A. M. Sinclair and R. R. Smith, A survey of Hochschild cohomology for von Neumann algebras Contemporary Mathematics 365, 383-400.
- S. Popa, A. M. Sinclair and R. R. Smith, Perturbation of subalgebras of type $II_1$ factors, J Functional Analysis 213, 346-379.
- J. Bennett A Trilinear Restriction Problem for the Paraboloid in R^3, Electronic Research Announcements of the AMS, (10), 97--102.
- N. Bournaveas Local and Global solutions for a nonlinear Dirac system, Advances in Differential Equations, 9, no. 5-6, 677-698.
- Susana Gutierrez Non trivial L^q solutions to the Ginzburg-Landau equation Mathematische Annalen, 328 (no. 1 & 2) 1--25.
- Susana Gutierrez and Luis Vega, Self-similar solutions of the localized induction approximation: singularity formation, Nonlinearity Vol. 17, 2091--2136.
- T. A. Gillespie and J.L. Torrea, Dimension free estimates for the oscillation of Riesz transforms, Israel J. Math. 141, 125-144.
- E. Berkson, T. A. Gillespie & J.L.Torrea, Vector-valued transference, Proc. Int. Conf. on Functional Space Theory and its Applications, Wuhan 2003 1-27, Research Information Ltd. UK.
- T. A. Gillespie and J. L. Torrea, Transference of a Littlewood-Paley-Rubio inequality and dimension free estimates, Revista Union Mat. Argentina, 45, 1-6.
- M. Dindos, C. Mezzetti, Better-reply dynamics and global convergence to Nash equilibrium in Playing-Against-The-Sum games, Games and
Econ. Behav. 54 (2004), no. 2, 261-292 PDF
- M. Dindos and M. Mitrea, Stationary Navier-Stokes equation on Lipschitz domains in Riemannian manifolds, Archive for Rational
Mechanics and Analysis, 174 (2004), no. 1, 1-47 PDF
- I. Gyöngy and G. Michaletzky, On diffusion approximations with
$\delta$-martingales, Proceedings of the Royal Society London A 460, 309--324.
2003
- J.A. Barcelo, J. Bennett and A. Carbery A bilinear extension inequality in two dimensions, Jour. Funct. Anal. 201 57-77.
- A. Carbery, A remark on an inequality of Katz and Tao, Contemp. Math. 320 71- 75.
- A. Carbery, F. Ricci and J. Wright, Maximal functions and singular integrals associated to polynomial mappings of R^n Revista Mat. Iberomamericana 19 1-22. PDF
- E. Christensen, F. Pop, A. M. Sinclair and R.R. Smith, Hochschild cohomology of factors with property Gamma, Annals of Math 158 597-621.
- E. Christensen, F. Pop, A. M. Sinclair and R.R. Smith, Property Gamma factors and the Hochschild cohomology problem, Proc. Nat. Acad. Sci 100 3865-3869.
- G. Robertson, A. M. Sinclair and R.R. Smith, Strong singularity for subalgebras of finite factors, International J of Math. 14 235-258.
- A. M. Sinclair and R. R. Smith, The Laplacian masa in a free group factor Trans. Amer. Math. Soc. 355 465-475.
- Seeger, Andreas, Tao, Terence and Wright, James Pointwise convergence of lacunary spherical means, Proceedings of the Summer Research Conference in Harmonic Analysis (Mount Holyoke 2001) Contemp. Math. 320 341-351. PDF
- Seeger, Andreas, Tao, Terence and Wright, James Endpoint mapping properties of spherical maximal functions, Journal de l'Institut Mathematiques de Jussieu 2 109-144. PDF
- Folch-Gabayet, Magali and Wright, James An estimation for a family of oscillatory integrals, Studia Mathematica 154 89-97. PDF
- Tao, Terence and Wright, James L^p improving bounds for averages along curves, Jour. Amer. Math. Soc. 16 605-638. PDF
- Folch-Gabayet, Magali and Wright, James An oscillatory integral estimate associated to rational phases, Journal of Geometric Analysis13 269-277. PDF
- T. A. Gillespie and J.L. Torrea, Weighted ergodic theory and dimension free estimates, Quart. J. Math 54, 257-280.
- M. Dindos, T. Salát and V. Toma, Statistical convergence of infinite series, Czechoslovak Math. Journal, 53(128), (2003),
no. 4,
989-1000 PDF
- M. Dindos, Existence and uniqueness for a semilinear elliptic problem on Lipschitz domains in Riemannian manifolds II, Transactions
of AMS 355, no. 4 (2003), 1365-1399. PDF
- I. Gyöngy and N. Krylov, On Splitting up method and stochastic partial
differential equations, The Annals of Probability, 2, 564--591.
- I. Gyöngy and N. Krylov, On the rate of convergence of splitting-up
approximations for SPDEs, Progress in Probability, Vol. 56, 301-321, Birkhauser Verlag.
2002
- A. Carbery and S. Ziesler, Restriction and decay for flat curves and hypersurfaces, Publ. Mat. 46 405-434.
- A. Carbery and J. Wright What is van der Corput's lemma in higher dimensions? Publ. Mat. special issue 13-26. PDF
- I. Gyongy and G. Michaletzky, On diffusion approximations with delta-martingales.
- I. Gyongy and M. Martinez, On stochastic differential equations with locally unbounded drift.
- I. Gyongy and N. Krylov, On splitting up method and stochastic partial differential equations.
- A. Alabert and I. Gyongy On stochastic reaction-diffusion equations with singular force term.
- I. Gyongy Tsirel'son's example for stochastic partial differential equations.
- S. Assing Invariant measures for stochastic heat equations with unbounded coefficients.
- S. Assing A pregenerator for Burgers equation driven by conservative noise, to appear in Commun. Math. Phys.
- T. A. Gillespie, S. Pott, S. Treil and A. Volberg, Logarithmic growth for matrix martingale transforms, to appear in J. London Math. Soc.
- E. Berkson and T. A. Gillespie, A Tauberian theorem for ergodic averages, spectral decomposability, and the dominated ergodic estimate for positive invertible operators, to appear in Positivity.
- A. M. Sinclair and R. R. Smith, Strongly singular masas in type $II_1$ factors, GAFA 12 199-216.
- M. Dindos, Existence and uniqueness for a semilinear elliptic problem on Lipschitz domains in Riemannian manifolds, Comm. PDE 27,
(2002), 219-291. PDF
- M. Dindos and M. Mitrea, Semilinear Poisson Problems in Sobolev-Bessov Spaces on Lipschitz domains, Publicacions Mathematiques 46,
no. 2 (2002), 353-403. PDF
2001
- N. Bournaveas, Low regularity solutions of the Dirac-Klein-Gordon equations in two space dimensions,
Comm. Part. Diff. Eq. 26 1345--1366
- N. Bournaveas and B. Perthame, Averages over spheres for kinetic transport equations: hyperbolic Sobolev spaces and Strichartz inequalities, Jour. Mat. Pures et Appliquees 80 517--534.
- A. Carbery and J. Wright Distributional and L^q norm inequalities for polynomials over convex bodies in R^n, Math. Res. Letters 8 233-248. PDF
- Sikora, Adam and Wright, James Imaginary powers of Laplace operators, Proc. Amer. Math. Soc. 129 1745-1754. PDF
- Tao, Terence and Wright, James Endpoint multiplier theorems of Marcinkiewicz type, Revista Mat. Iber.17 521--558. PDF
- S. Assing Infinite dimensional Langevin equations: Uniqueness and rate of convergence for
finite dimensional approximations, Probab. Theory Relat. Fields, 120 143-167.
- E. Berkson and T. A. Gillespie Spectral decompositions, ergodic averages, and the Hilbert transform, Studia Math., 144 39-61.
- M. Dindos, On distribution in relatively convergent series. Acta Math. Hungar. 91 (2001), no. 4, 291--309.
- M. Dindos, Generalized Cantor sets and sets of sums of convergent alternating series. J. Appl. Anal. 7 (2001), no. 1, 131--150
- I. Gyöngy, Tsirel'sons's example for stochastic
partial differential equations, Acta Mathematica Hungarica, 93, 243--248.
- I. Gyöngy and T. Martinez, On stochastic
differential equations with locally unbounded drift, Chechoslovak Mathematical Journal, 51 (126) 763--783.
- A. Alabert and I. Gyöngy, On stochastic
reaction-diffusion equations with singular force term, Bernoulli, 7, 145--164.
2000
- A. Carbery, S. Wainger and J. Wright, Double Hilbert transforms along polynomial surfaces in R^3, Duke Math. J. 101 499-513.
- A. Carbery and A. Seeger, Weighted inequalities for Bochner-Riesz means in the plane, Quarterly J. Math. 51 155-167.
- N. Bournaveas A New proof of global existence for the Dirac Klen-Gordon equations in one space dimension, Jour. Funct. Anal. 173 203-213.
- I. Gyongy and C. Rovira, On L^p solutions of semilinear stochastic partial differential equations, Stoch. Anal. Applns. 90 83-108.
- T. A. Gillespie and I. Doust, An example in the theory of AC operators, Proc. A.M.S. 129 1453-1457.
- A. M. Sinclair and R.R. Smith, Cohomology of finite index inclusions of factors, J. Operator Theory 44 335-345.
- F. Pop, A.M. Sinclair and R. R. Smith, Norming C*-algebras by C*-subalgebras J. Functional Analysis 175 168-196.
- W.G. Bade, P.C Curtis, Jr and
A. M. Sinclair Raising bounded groups and splitting of radical extensions of commutative Banach algebras, Studia Math. 141 85-98.
1999
- A. Carbery, A. Seeger, S. Wainger and J.Wright Classes of singular integral operators along variable lines Jour. Geom. Anal. 9 583-605.
- Carbery, Anthony; Hofmann, Steve and Wright, James The Calderon commutator along a parabola Math. Proc. Cambridge Philos. Soc. 126 543--553.
- Carbery, Anthony; Christ, Michael; Wright, James Multidimensional van der Corput and sublevel set estimates, J. Amer. Math. Soc. 12 981--1015.
- A. Carbery and S. Perez, Maximal functions and Hilbert transforms along variable flat curves, Math. Res. Lett. 6 237-249.
- Wainger, Stephen; Wright, James and Ziesler, Sarah, Singular integrals associated to hypersurfaces: $L\sp 2$ theory. J. Funct. Anal. 167 148--182.
- Seeger, Andreas; Wainger, Stephen; Wright, James and Ziesler, Sarah Classes of singular integrals along curves and surfaces Trans. Amer. Math. Soc. 351 3757-3769.
- N. Bournaveas, Local existence of energy class solutions for the Dirac-Klein Gordon equations Comm. Part. Diff. Eq. 24 1167-1193.
- I. Gyongy and D. Nualart, On the stochastic Burgers' equation in the real line, Ann. Prob. 27 782-802.
- I. Gyongy Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise II, Potential. Anal. 11 1-37.
- I. Gyongy and C. Rovira, On stochastic partial differential equations with polynomial nonlinearities Stochastics and Stochastics Reports 67 123-146.
- I. Gyongy Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise II., Potential Analysis 11 1-37.
- S. Assing Comparison of Systems of Stochastic Partial Differential Equations, Stoch. Proc. Appl. 82259-282.
- A. M. Sinclair and R.R. Smith, Cartan subalgebras of finite von Neumann algebras
Math. Scand. 85105-120.
- S. Wainger, J. Wright and S. Ziesler, Rough Calderon-Zygmund kernels: L^p theory
Proc. Workshop in Pure Math. 18 (1999) 99-102.