Publications in VIVO

Co-author Network

Maier, Robert S

Professor Adjoint (Academic)

Positions

Professor Adjoint (Academic), Mathematics

Research Areas

Research

research overview

Dr. Maier's research is centered on mathematical physics: the mathematics of statistical mechanics and quantum theory, including quantum optics and information science. More generally, he has worked on applied probability and stochastic modeling. His areas of expertise include the theory of hypergeometric and other special functions, and the algebraic identities of combinatorial type which they satisfy; and related identities arising in the theory of classical modular forms...

Publications

selected publications

book
- Applications and �-Extensions of Hypergeometric Functions. Ed. Maier, Robert S. 2025
- Classical Hypergeometric Functions and Generalizations. Ed. Maier, Robert S. 2025
- Algorithmic Probability and Combinatorics. Ed. Maier, Robert S. 2010
- Special Functions and Orthogonal Polynomials. Ed. Maier, Robert S. 2008
chapter
- Algebraic Generating Functions for Gegenbauer Polynomials. 425-444. 2018
- Regular approximations to shuffle products of context-free languages, and convergence of their generating functions. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 352-362. 1993
- The exhaustion of shared memory: Stochastic results. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 494-505. 1993
- Orderings arising from expected extremes, with an application. 66-75. 1992
- The asymptotic evolution of data structures. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 13-23. 1990
conference proceeding
- Parametrized Stochastic Grammars for RNA Secondary Structure Prediction. 256-260. 2007
- A theory of magnetization reversal in nanowires. Proceedings of SPIE. 48-48. 2004
- Effects of weak spatiotemporal noise on a bistable one-dimensional system. Proceedings of SPIE. 67-67. 2003
- The birth of a cusp: The unfolding of a ‘boundary catastrophe’. AIP Conference Proceedings. 26-33. 2000
- Optimal Paths, Caustics, and Boundary Layer Approximations in Stochastically Perturbed Dynamical Systems. 903-910. 1995
journal article
- Sheffer polynomials and the; s; -ordering of exponential boson operators. Journal of Mathematical Physics. 2025
- Boson operator ordering identities from generalized Stirling and Eulerian numbers. Advances in Applied Mathematics. 102678-102678. 2024
- Triangular recurrences, generalized Eulerian numbers, and related number triangles. Advances in Applied Mathematics. 102485-102485. 2023
- Extensions of the classical transformations of the hypergeometric function F23. Advances in Applied Mathematics. 25-47. 2019
- Cosmological tests with the joint lightcurve analysis. Europhysics Letters. 59002-59002. 2018
- Associated Legendre Functions and Spherical Harmonics of Fractional Degree and Order. Constructive approximation. 235-281. 2018
- Machine-learning-based Brokers for Real-time Classification of the LSST Alert Stream. Astrophysical Journal Supplement Series. 9-9. 2018
- EMP: execution time measurement protocol for compute‐bound programs. Software - Practice and Experience. 559-597. 2017
- Integrals of Lipschitz–Hankel type, Legendre functions and table errata. Integral Transforms and Special Functions. 385-391. 2016
- Legendre functions of fractional degree: transformations and evaluations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 20160097-20160097. 2016
- A COMPARATIVE ANALYSIS OF THE SUPERNOVA LEGACY SURVEY SAMPLE WITH ΛCDM AND THER_h=ctUNIVERSE. The Astronomical Journal. 102-102. 2015
- The uniformization of certain algebraic hypergeometric functions. Advances in Mathematics. 86-138. 2014
- The integration of three-dimensional Lotka–Volterra systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 20120693-20120693. 2013
- Cosmic chronometers in the Rh = ct Universe. Monthly Notices of the Royal Astronomical Society. 2669-2675. 2013
- Nonlinear differential equations satisfied by certain classical modular forms. Manuscripta Mathematica. 1-42. 2011
- On rationally parametrized modular equations. Journal of the Ramanujan Mathematical Society. 1-73. 2009
- Lamé polynomials, hyperelliptic reductions and Lamé band structure.. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1115-1153. 2008
- Algebraic hypergeometric transformations of modular origin. Transactions of the American Mathematical Society. 3859-3885. 2007
- The 192 solutions of the Heun equation. Mathematics of Computation. 811-843. 2006
- A generalization of Euler’s hypergeometric transformation. Transactions of the American Mathematical Society. 39-57. 2005
- On reducing the Heun equation to the hypergeometric equation. Journal of Differential Equations. 171-203. 2005
- Algebraic solutions of the Lamé equation, revisited. Journal of Differential Equations. 16-34. 2004
- On Crossing Event Formulas in Critical Two-Dimensional Percolation. Journal of Statistical Physics. 1027-1048. 2003
- Droplet nucleation and domain wall motion in a bounded interval.. Physical Review Letters. 270601. 2001
- Noise-activated escape from a sloshing potential well.. Physical Review Letters. 3942-3945. 2001
- How an anomalous cusp bifurcates in a weak-noise system.. Physical Review Letters. 1358-1361. 2000
- Observation of Saddle-Point Avoidance in Noise-Induced Escape. Physical Review Letters. 1806-1809. 1999
- Experiments on Critical Phenomena in a Noisy Exit Problem. Physical Review Letters. 3109-3112. 1997
- Erratum: Topological features of large fluctuations to the interior of a limit cycle [Phys. Rev. E55, 2369 (1997)]. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2332-2332. 1997
- Limiting Exit Location Distributions in the Stochastic Exit Problem. SIAM Journal on Applied Mathematics. 752-790. 1997
- Topological features of large fluctuations to the interior of a limit cycle. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2369-2391. 1997
- Oscillatory Behavior of the Rate of Escape through an Unstable Limit Cycle.. Physical Review Letters. 4860-4863. 1996
- A scaling theory of bifurcations in the symmetric weak-noise escape problem. Journal of Statistical Physics. 291-357. 1996
- Singular Features of Large Fluctuations in Oscillating Chemical Systems. The Journal of physical chemistry. 19197-19209. 1996
- The shape of stretched planar trees. Random structures & algorithms (Print). 331-340. 1995
- Effect of focusing and caustics on exit phenomena in systems lacking detailed balance.. Physical Review Letters. 1783-1786. 1993
- Escape problem for irreversible systems.. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics . 931-938. 1993
- Phase-type distributions and the structure of finite Markov chains. Journal of Computational and Applied Mathematics. 449-453. 1993
- Transition-rate theory for nongradient drift fields. Physical Review Letters. 3691-3695. 1992
- A closure characterisation of phase-type distributions. Journal of Applied Probability. 92-103. 1992
- Colliding stacks: A large deviations analysis. Random structures & algorithms (Print). 379-420. 1991
- A path integral approach to data structure evolution. Journal of Complexity. 232-260. 1991
- The algebraic construction of phase-type distributions. Stochastic Models. 573-602. 1991
- Probabilistic analysis of a learning matrix. Advances in Applied Probability. 695-705. 1988
- Bounds on the density of states of random Schr�dinger operators. Journal of Statistical Physics. 425-447. 1987
- Transition probabilities in Nd(II) and the solar neodymium abundance. Journal of Quantitative Spectroscopy and Radiative Transfer. 501-507. 1977

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http://orcid.org/0000-0002-1259-1341

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