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UC Davis Mathematics arXiv Preprints

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1999

1. math.GT/9912167 Perturbative 3-manifold invariants by cut-and-paste topology. Greg Kuperberg (UC Davis), Dylan P. Thurston (UC Berkeley). UC Davis Math 1999-36. math.GT (math.QA).
2. math.MG/9911185 On Three-Dimensional Space Groups. John Conway, Olaf Delgado Friedrichs, Daniel H. Huson, William P. Thurston. math.MG (math.GT).
3. math.GT/9911072 Boundary slopes of immersed surfaces in 3-manifolds. Joel Hass, J. Hyam Rubinstein, Shicheng Wang. math.GT.
4. math.AP/9910088 The vortex blob method as a second-grade non-Newtonian fluid. Marcel Oliver, Steve Shkoller. UC Davis Math 1999-35. math.AP (math.NA).
5. math.CO/9909169 Random Words, Toeplitz Determinants and Integrable Systems. I. Alexander R. Its, Craig A. Tracy, Harold Widom. Random Matrices and their Applications, eds. P. Bleher and A. Its, Cambridge University Press, New York, 2001, pgs. 245-258.. math.CO (nlin.SI physics.math-ph).
6. math/9909104 Random words, quantum statistics, central limits, random matrices. Greg Kuperberg (UC Davis). UC Davis Math 1999-33. Methods Appl. Anal. 9 (2002), no. 1, 101-119. math.PR (math.CO math.OA math.RT physics.math-ph).
7. math.DG/9909100 Second-order multisymplectic field theory: A variational approach to second-order multisymplectic field theory. Shinar Kouranbaeva, Steve Shkoller. UC Davis Math 1999-31. J.Geom.Phys. 35 (2000) 333-366. math.DG (physics.math-ph).
8. math/9909099 Discrete Euler-Poincaré and Lie-Poisson Equations. Jerrold E. Marsden, Sergey Pekarsky, Steve Shkoller. UC Davis Math 1999-32. math.NA (math.SG).
9. math-ph/9909018 A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model. Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele, Shannon Starr. UC Davis Math 1999-30. Electronic Journal of Differential Equations, Conf. 04, pp. 1-10 (2000). physics.math-ph (math.AP physics.stat-mech).
10. math.QA/9909044 A generalization of the q-Saalschutz sum and the Burge transform. A. Schilling, S. O. Warnaar. ITFA-99-24. in: Physical Combinatorics, M. Kashiwara and T. Miwa (eds.), Birkhäuser Boston, Cambridge, MA, 2000, pp. 163-183.. math.QA (math.CO).
11. math-ph/9909001 Universality of the Distribution Functions of Random Matrix Theory. II. Craig A. Tracy, Harold Widom. Integrable Systems: From Classical to Quantum, CRM Proceedings & Lecture Notes, Vol. 26, eds. J. Harnad, G. Sabidussi and P. Winternitz, Amer. Math. Soc., Providence, 2000, pgs. 251-264.. physics.math-ph (nlin.SI).
12. math.QA/9908171 A categorification of the Jones polynomial. Mikhail Khovanov. Duke Math. J. 101 (2000), no. 3, 359--426. math.QA.
13. math.OC/9908134 A method for computing quadratic Brunovsky forms. Wen-Long Jin. Electronic Journal of Linear Algebra ISSN 1081-3810, A publication of the International Linear Algebra Society, Volume 13, pp. 40-55, February 2005. math.OC.
14. math-ph/9908018 Finite-volume excitations of the 111 interface in the quantum XXZ model. Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele, Shannon Starr. Preprint UC Davis Math 1999-24. Comm. Math. Phys., 212 (2000) 63-91. physics.math-ph (physics.stat-mech).
15. math.AP/9908109 On Incompressible Averaged Lagrangian Hydrodynamics. Steve Shkoller. UC Davis Math 1999-25. math.AP (math.DG).
16. math.AP/9908103 The geometry and analysis of the averaged Euler equations and a new diffeomorphism group. J. E. Marsden, T. S. Ratiu, S. Shkoller. UC Davis Math 1999-26. math.AP (math.DG).
17. math.DG/9908102 Reduction in principal fiber bundles: covariant Euler-Poincare equations. Marco Castrillon Lopez, Tudor S. Ratiu, Steve Shkoller. UC Davis Math 1999-27. math.DG (physics.math-ph).
18. math.PR/9908063 Central Limit Theorem for local linear statistics in classical compact groups and related combinatorial identities. Alexander Soshnikov. UC Davis Math 1999-23. math.PR (math.CO).
19. math-ph/9908004 Path Integral Representation for Interface States of the Anisotropic Heisenberg Model. Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele. Rev. Math. Phys., 12 (2000) 1325-1344. physics.math-ph (physics.stat-mech).
20. math.MG/9908003 Notions of denseness. Greg Kuperberg. Geom. Topol. 4 (2000) 277-292. math.MG.
21. math.PR/9907159 Limit Theorems for Motions in a Flow with a Nonzero Drift. Albert Fannjiang (Department of Mathematics, University of California, Davis), Tomasz Komorowski (Institute of Mathemathics, Maria Curie-Skłodowska University, Lublin). UC Davis Math 1999-18. math.PR (physics.math-ph).
22. math.AG/9907012 A Topological Reconstruction Theorem for $D^{\infty}$-Modules. F. Prosmans, J. -P. Schneiders. 99-09 (March 1999). math.AG (math.CV).
23. math.AG/9907013 The Geometry of the Moduli Space of Curves of Genus 23. Gavril Farkas (University of Amsterdam). math.AG.
24. math.GT/9906197 The size of spanning disks for polygonal curves. Joel Hass, Jack Snoeyink, William P. Thurston. Discrete and Computational Geometry 29 (2003) 1--17.. math.GT.
25. math.GT/9906183 Bounds on exceptional Dehn filling. Ian Agol. Geom. Topol. 4(2000) 431-449. math.GT.
26. math.GT/9906182 Lower bounds on volumes of hyperbolic Haken 3-manifolds. Ian Agol. math.GT.
27. math.DS/9906178 The method of characteristics revisited. A viability approach. Jean-Pierre Aubin. UC Davis Math 1999-19. math.DS.
28. math.QA/9906092 Conjugate Bailey pairs. Anne Schilling, S. Ole Warnaar. ITFA-99-12. math.QA (math.CO).
29. math.NA/9906058 Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture Mechanics. Youn-Sha Chan (UC Davis), Albert C. Fannjiang (UC Davis), Glaucio H. Paulino (University of Illinois). UC Davis Math 1999-15. math.NA (math.AP).
30. math.PR/9906052 Fractional Brownian Motion Limit for a Model of Turbulent Transport. Albert Fannjiang (UC Davis), Tomasz Komorowski (Maria Curie-Skłodowska University). UC Davis Math 1999-17. math.PR (math.DS).
31. cond-mat/9906120 Radiative Transport in a Periodic Structure. Guillaume Bal, Albert Fannjiang, George Papanicolaou, Leonid Ryzhik. UC Davis Math 1999-16. physics.stat-mech (physics.math-ph).
32. math.PR/9906050 Taylor-Kubo Formula for Turbulent Diffusion in a Non-Mixing Flow with Long-Range Correlation. Albert C. Fannjiang, Tomasz Komorowski. UC Davis Math 1999-14. math.PR (physics.math-ph).
33. physics/9906018 Phase Diagram for Turbulent Transport: Sampling Drift, Eddy Diffusivity and Variational Principles. Albert C. Fannjiang. UC Davis Math 1999-13. physics.flu-dyn (physics.data-an physics.math-ph).
34. math.AG/9905179 Quantum Hyperplane Section Principle for Concavex Decomposable Vector Bundles. Bumsig Kim. math.AG (math.SG).
35. math-ph/9905004 Bounds on Correlation Functions of Quantum Rotators. Oscar Bolina, J. Rodrigo Parreira. UC Davis Math 1999-12. physics.math-ph.
36. math.QA/9904139 Projective modules over non-commutative tori: classification of modules with constant curvature connection. Alexander Astashkevich, Albert Schwarz. math.QA (physics.hep-th).
37. math.GT/9904043 Almost alternating diagrams and fibered links in S^3. Hiroshi Goda, Mikami Hirasawa, Ryosuke Yamamoto. UC Davis Math 1999-8. math.GT.
38. math/9904042 On the Distributions of the Lengths of the Longest Monotone Subsequences in Random Words. Craig A. Tracy, Harold Widom. Probab. Theory Relat. Fields 119 (2001), 350-380. math.CO (math.PR nlin.SI).
39. math.GT/9903130 Configurations of curves and geodesics on surfaces. Joel Hass, Peter Scott. G&T migration mon2-11. Geom. Topol. Monogr. 2 (1999), 201-213. math.GT (math.DG).
40. math-ph/9903024 Boundary Value Problem for $r^2 d^2 f/dr^2 + f = f^3$ (III): Global Solution and Asymptotics. Chie Bing Wang. physics.math-ph (math.DS).
41. math-ph/9903023 Boundary Value Problem for $r^2 d^2 f/dr^2 + f = f^3$ (II): Connection Formula. Chie Bing Wang. physics.math-ph (math.DS).
42. math-ph/9903022 Boundary Value Problem for $r^2 {d^2 f/dr^2} + f = f^3$ (I): Existence and Uniqueness. Chie Bing Wang. physics.math-ph (math.DS).
43. math/9902157 Dehn surgeries on knots which yield lens spaces and genera of knots. Hiroshi Goda, Masakazu Teragaito. UC Davis Math 1999-7. math.GT.
44. math-ph/9902002 Existence of the Solution for the 't Hooft-Polyakov Monopole. J. Bryce McLeod, Chie Bing Wang. physics.math-ph.
45. math.NA/9901123 A Levinson-Galerkin algorithm for regularized trigonometric approximation. Thomas Strohmer. UC Davis Math 1999-6. math.NA.
46. math.NA/9901122 Rates of convergence for the approximation of dual shift-invariant systems in $l_2(Z)$. Thomas Strohmer. UC Davis Math 1999-5. math.NA.
47. math.NA/9901121 A multi-level algorithm for the solution of moment problems. Otmar Scherzer, Thomas Strohmer. UC Davis Math 1999-4. math.NA.
48. math.AP/9901089 The structure of the solutions to semilinear equations at a critical exponent. Allan L. Edelson. UC Davis Math 1999-2. math.AP.
49. solv-int/9901004 Airy Kernel and Painleve II. Craig A. Tracy, Harold Widom. in "Isomonodromic Deformations and Applications in Physics," eds. A. Its and J. Harnad, CRM Proceedings & Lecture Notes, Vol. 31, Amer. Math. Soc., Providence, 2002, pp. 85-98.. nlin.SI (physics.math-ph).
50. math.CO/9901037 A bijection between Littlewood-Richardson tableaux and rigged configurations. Anatol N. Kirillov, Anne Schilling, Mark Shimozono. Selecta Mathematica, N.S., 8 (2002) 67-135. math.CO (math.QA).
51. solv-int/9901003 Universality of the distribution functions of random matrix theory. Craig A. Tracy, Harold Widom. Statistical Physics on the Eve of the 21st Century: In Honour of J B McGuire on the Occasion of His 65th Birthday, eds. M. T. Batchelor and L. T. Wille, World Scientific Pub., 1999, pgs. 230-239.. nlin.SI (physics.math-ph).


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