Research Output 1961 2020

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2019
1 Citation (Scopus)

A refinement of the alladi–schur theorem

Andrews, G. E., Jan 1 2019, Developments in Mathematics. Springer New York LLC, p. 71-77 7 p. (Developments in Mathematics; vol. 58).

Research output: Chapter in Book/Report/Conference proceedingChapter

Refinement
Partition
Theorem
Count
Odd

Cycles in the Supersingular ℓ-Isogeny Graph and Corresponding Endomorphisms

Bank, E., Camacho-Navarro, C., Eisentraeger, A. K., Morrison, T. & Park, J., Jan 1 2019, Association for Women in Mathematics Series. Springer, p. 41-66 26 p. (Association for Women in Mathematics Series; vol. 19).

Research output: Chapter in Book/Report/Conference proceedingChapter

Isogeny
Endomorphisms
Cycle
Graph in graph theory
Endomorphism Ring

Human movements: Synergies, stability, and agility

Latash, M., Jan 1 2019, Springer Tracts in Advanced Robotics. Springer Verlag, p. 135-154 20 p. (Springer Tracts in Advanced Robotics; vol. 124).

Research output: Chapter in Book/Report/Conference proceedingChapter

Neurology
Analysis of variance (ANOVA)
Muscle
2018

Endomorphism algebras of abelian varieties with special reference to superelliptic Jacobians

Zarkhin, Y. G., Jan 1 2018, Springer Proceedings in Mathematics and Statistics. Springer New York LLC, p. 477-528 52 p. (Springer Proceedings in Mathematics and Statistics; vol. 251).

Research output: Chapter in Book/Report/Conference proceedingChapter

Abelian Variety
Endomorphism
Galois
Closure
Cover

Equations for viscoelastic fluids

Hu, X., Lin, F. H. & Liu, C., Apr 19 2018, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, p. 1045-1073 29 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Complex Fluids
Viscoelastic Fluid
Fluids
fluids
Variational Approach
5 Citations (Scopus)

Robust block preconditioners for biot’s model

Adler, J. H., Gaspar, F. J., Hu, X., Rodrigo, C. & Zikatanov, L. T., Jan 1 2018, Lecture Notes in Computational Science and Engineering. Springer Verlag, p. 3-16 14 p. (Lecture Notes in Computational Science and Engineering; vol. 125).

Research output: Chapter in Book/Report/Conference proceedingChapter

Preconditioner
Consolidation
Linear systems
Stabilized Finite Elements
Equivalent Norm

Symmetric expansions of very well-poised basic hypergeometric series

Andrews, G. E., Jan 12 2018, Frontiers In Orthogonal Polynomials and Q-series. World Scientific Publishing Co. Pte Ltd, Vol. 1. p. 21-33 13 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Basic Hypergeometric Series
Symmetry
Symmetry Group
Symmetric group
Series
1 Citation (Scopus)

The inviscid limit and boundary layers for navier-stokes flows

Maekawa, Y. & Mazzucato, A. L., Apr 19 2018, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, p. 781-828 48 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Inviscid Limit
Stokes flow
incompressible flow
Incompressible flow
Stokes Flow

Variational modeling and complex fluids

Giga, M. H., Kirshtein, A. & Liu, C., Apr 19 2018, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, p. 73-113 41 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Complex Fluids
ideal fluids
Ideal Fluid
Fluids
Viscoelastic Fluid
1 Citation (Scopus)

Weak brill-noether for rational surfaces

Coskun, I. & Huizenga, J. W., Jan 1 2018, Contemporary Mathematics. American Mathematical Society, p. 81-104 24 p. (Contemporary Mathematics; vol. 712).

Research output: Chapter in Book/Report/Conference proceedingChapter

Rational Surface
Noether
Sheaves
Moduli Space
Hirzebruch Surface
2017
1 Citation (Scopus)

A second adjoint theorem for SL(2,ℝ)

Crisp, T. & Higson, N., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 73-101 29 p. (Contemporary Mathematics; vol. 691).

Research output: Chapter in Book/Report/Conference proceedingChapter

Reductive Group
Theorem
Context

Bouncing in gravitational field

Galperin, G. & Levi, M., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 129-139 11 p. (Contemporary Mathematics; vol. 698).

Research output: Chapter in Book/Report/Conference proceedingChapter

Gravitational Field
2 Citations (Scopus)

Conjectures about p-adic groups and their noncommutative geometry

Aubert, A. M., Baum, P. F., Plymen, R. & Solleveld, M., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 15-51 37 p. (Contemporary Mathematics; vol. 691).

Research output: Chapter in Book/Report/Conference proceedingChapter

P-adic Groups
Noncommutative Geometry
Correspondence
Baum-Connes Conjecture
Hecke Algebra

D. V. Anosov and our road to partial hyperbolicity

Brin, M. & Pesin, Y. B., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 23-28 6 p. (Contemporary Mathematics; vol. 692).

Research output: Chapter in Book/Report/Conference proceedingChapter

Partial Hyperbolicity
Interaction

Dmitry viktorovich anosov: His life and mathematics

Katok, A., 2017, Contemporary Mathematics. American Mathematical Society, Vol. 692. p. 1-12 12 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Life
2 Citations (Scopus)

Dual variational methods in optimal control theory

Bressan, A., Jan 1 2017, Nonlinear Controllability and Optimal Control. CRC Press, p. 219-236 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Semilinear Systems
Dual Method
Optimal Control Theory
Variational Methods
Control System
10 Citations (Scopus)

Model error in data assimilation

Harlim, J., Jan 19 2017, Nonlinear and Stochastic Climate Dynamics. Cambridge University Press, p. 276-317 42 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

data assimilation
parameterization
white noise
mathematics
method

Non-uniform measure rigidity for ℤk actions of symplectic type

Katok, A. & Rodriguez Hertz, F. J., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 195-208 14 p. (Contemporary Mathematics; vol. 692).

Research output: Chapter in Book/Report/Conference proceedingChapter

Rigidity
Semisimple Lie Group
Lyapunov Exponent
Directly proportional
Innovation
3 Citations (Scopus)

Path connectedness and entropy density of the space of hyperbolic ergodic measures

Gorodetski, A. & Pesin, Y. B., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 111-121 11 p. (Contemporary Mathematics; vol. 692).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ergodic Measure
Connectedness
Homoclinic Class
Entropy
Path

Uniqueness of contact Hamiltonians of topological strictly contact isotopies

Banyaga, A. & Spaeth, P., Jan 1 2017, Contemporary Mathematics. American Mathematical Society, p. 57-66 10 p. (Contemporary Mathematics; vol. 699).

Research output: Chapter in Book/Report/Conference proceedingChapter

Strictly
Uniqueness
Contact
Contact Form
Bijective
12 Citations (Scopus)

Upper and lower semicontinuous differential inclusions: A unified approach

Bressan, A., Jan 1 2017, Nonlinear Controllability and Optimal Control. CRC Press, p. 21-32 12 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Upper Semicontinuous
Lower Semicontinuous
Differential Inclusions
Continuous Map
Control System
2016
4 Citations (Scopus)

Depth and the local langlands correspondence

Aubert, A. M., Baum, P. F. & Plymen, R., Jan 1 2016, Progress in Mathematics. Springer Basel, p. 17-41 25 p. (Progress in Mathematics; vol. 319).

Research output: Chapter in Book/Report/Conference proceedingChapter

Correspondence
Special Linear Group
General Linear Group
Local Field
Form
1 Citation (Scopus)

Fifty years of physics of living systems

Latash, M., Jan 1 2016, Advances in Experimental Medicine and Biology. Springer New York LLC, p. 81-103 23 p. (Advances in Experimental Medicine and Biology; vol. 957).

Research output: Chapter in Book/Report/Conference proceedingChapter

Stretch Reflex
Physics
Fingers
Muscles
Research
1 Citation (Scopus)

Goldbach’s conjectures: A historical perspective

Vaughan, R. C., Jan 1 2016, Open Problems in Mathematics. Springer International Publishing, p. 479-520 42 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Goldbach's conjecture
Even number
Euler
Binary
Range of data

On coefficients of powers of polynomials and their compositionsover finite fields

Mullen, G. L., Muratović-Ribić, A. & Wang, Q., Aug 1 2016, Contemporary Developments in Finite Fields and Applications. World Scientific Publishing Co. Pte Ltd, p. 270-281 12 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Permutation Polynomial
Galois field
Polynomial
Coefficient
Q-matrix
2 Citations (Scopus)

Some open problems arising from my recent finite field research

Mullen, G. L., Aug 1 2016, Contemporary Developments in Finite Fields and Applications. World Scientific Publishing Co. Pte Ltd, p. 254-269 16 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Algebraic Theory
Coding Theory
Combinatorics
Galois field
Open Problems
2015
1 Citation (Scopus)

Dissipation of narrow-banded surface water waves

Henderson, D. M., Rajan, G. K. & Segur, H., Sep 11 2015, Hamiltonian Partial Differential Equations and Applications. Springer New York, Vol. 75. p. 163-183 21 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

water waves
Water Waves
Surface Waves
surface water
Dissipation
3 Citations (Scopus)

Tissue-Engineered Peripheral Nerve Guide Fabrication Techniques

Nguyen, D. Y., Tran, R. T., Costanzo, F. & Yang, J., Apr 23 2015, Pain, Treatment, Injury, Disease and Future Directions. Elsevier, Vol. 2. p. 971-992 22 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Nerve Tissue
Peripheral Nerves
Biocompatible Materials
Nerve Regeneration
Autografts
2014

A brief history of Anderson localization

Chulaevsky, V. & Soukhov, I. M., Jan 1 2014, Progress in Mathematical Physics. Birkhauser Boston, p. 3-26 24 p. (Progress in Mathematical Physics; vol. 65).

Research output: Chapter in Book/Report/Conference proceedingChapter

histories
readers
electromagnetic radiation
propagation
acoustics

Computable models of static and dynamic spatial oligopoly

Meimand, A. H. & Friesz, T. L., Jan 1 2014, Handbook of Regional Science. Springer Berlin Heidelberg, p. 237-258 22 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Oligopoly
Variational inequalities
Discretization
Control variable
Cournot-Nash
1 Citation (Scopus)

Index bounds for value sets of polynomials over finite fields

Mullen, G. L., Wan, D. & Wang, Q., Jan 1 2014, Applied Algebra and Number Theory: Essays in Honor of Harald Niederreiter on the Occasion of his 70th Birthday. Cambridge University Press, p. 280-296 17 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Galois field
Polynomial Maps
Polynomial
Upper bound
Permutation Polynomial

Multi-particle eigenvalue concentration bounds

Chulaevsky, V. & Soukhov, I. M., Jan 1 2014, Progress in Mathematical Physics. Birkhauser Boston, p. 137-170 34 p. (Progress in Mathematical Physics; vol. 65).

Research output: Chapter in Book/Report/Conference proceedingChapter

eigenvalues
interactions

Multi-particle MSA techniques

Chulaevsky, V. & Soukhov, I. M., Jan 1 2014, Progress in Mathematical Physics. Birkhauser Boston, p. 171-228 58 p. (Progress in Mathematical Physics; vol. 65).

Research output: Chapter in Book/Report/Conference proceedingChapter

theorems

Single-particle MSA techniques

Chulaevsky, V. & Soukhov, I. M., Jan 1 2014, Progress in Mathematical Physics. Birkhauser Boston, p. 27-133 107 p. (Progress in Mathematical Physics; vol. 65).

Research output: Chapter in Book/Report/Conference proceedingChapter

energy
derivation
2013
2 Citations (Scopus)

A Block Solver for the Exponentially Fitted IIPG-0 Method

de Dios, B. A., Lombardi, A., Pietra, P. & Zikatanov, L. T., Jul 25 2013, Domain Decomposition Methods in Science and Engineering XX. Bank, R., Holst, M., Xu, J. & Widlund, O. (eds.). p. 239-246 8 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Advection
Discontinuous Galerkin Method
Galerkin methods
Linear systems
Linear Systems
3 Citations (Scopus)

An Algebraic Multigrid Method Based on Matching in Graphs

Brannick, J. J., Chen, Y., Kraus, J. & Zikatanov, L. T., Jul 25 2013, Domain Decomposition Methods in Science and Engineering XX. Randolph, B., Michael, H. & Jinchao, X. (eds.). p. 143-150 8 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Algebraic multigrid Method
Graph in graph theory

A Subspace Correction Method for Nearly Singular Linear Elasticity Problems

Karer, E., Kraus, J. K. & Zikatanov, L. T., Jul 25 2013, Domain Decomposition Methods in Science and Engineering XX. Randolph, B., Michael, H. & Jinchao, X. (eds.). p. 159-166 8 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Elasticity Problem
Linear Elasticity
Elasticity
Subspace

Asymptotic behavior of multi-response permutation procedures

Denker, M. H. & Puri, M. L., Feb 6 2013, Nonparametric Methods in Statistics and Related Topics. De Gruyter Mouton, Vol. 1. p. 315-325 11 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Permutation
Weak Invariance Principle
Asymptotic Behavior
Wiener Process
Sum of squares
12 Citations (Scopus)

Combinatorial

Mullen, G. L., Jan 1 2013, Handbook of Finite Fields. CRC Press, p. 550-658 109 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ordered pair
Kronecker Product
4 Citations (Scopus)

Differences of partition functions: The anti-telescoping method

Andrews, G. E., Sep 2 2013, From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis. Farkas, H., Knopp, M., Gunning, R. & Taylor, B. A. (eds.). p. 1-20 20 p. (Developments in Mathematics; vol. 28).

Research output: Chapter in Book/Report/Conference proceedingChapter

Partition Function
Rogers-Ramanujan Identities
Ramanujan
Partial
Coefficient
2 Citations (Scopus)

Domain decomposition methods in science and engineering XX

Bank, R., Holst, M., Widlund, O. & Xu, J., Jul 25 2013, Domain Decomposition Methods in Science and Engineering XX. Randolph, B., Michael, H. & Jinchao, X. (eds.). (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Domain decomposition methods
Domain Decomposition Method
Engineering
4 Citations (Scopus)

Dynamic blocking problems for a model of fire propagation

Bressan, A., Mar 1 2013, Advances in Applied Mathematics, Modeling, and Computational Science. Melnik, R. (ed.). p. 11-40 30 p. (Fields Institute Communications; vol. 66).

Research output: Chapter in Book/Report/Conference proceedingChapter

Propagation
Optimality
Optimal Location
Differential Inclusions
Optimal Strategy

Equations over finite fields

Mullen, G. L. & Wang, Q., Jan 1 2013, Handbook of Finite Fields. CRC Press, p. 193-213 21 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Hypersurface
Galois field
Estimate
Form
1 Citation (Scopus)

Equidistribution and Optimal Approximation Class

Bacuta, C., Chen, L. & Xu, J., Jul 25 2013, Domain Decomposition Methods in Science and Engineering XX. Randolph, B., Michael, H. & Jinchao, X. (eds.). p. 3-14 12 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Equidistribution
Optimal Approximation
Class
6 Citations (Scopus)

Introduction to finite fields

Mullen, G. L. & Panario, D., Jan 1 2013, Handbook of Finite Fields. CRC Press, p. 13-49 37 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Galois field

Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients

De Dios, B. A., Holst, M., Zhu, Y. & Zikatanov, L. T., Jul 25 2013, Domain Decomposition Methods in Science and Engineering XX. Bank, R., Holst, M., Xu, J. & Widlund, O. (eds.). p. 183-190 8 p. (Lecture Notes in Computational Science and Engineering; vol. 91).

Research output: Chapter in Book/Report/Conference proceedingChapter

Preconditioner
Elliptic Problems
Linear systems
Jump
Discretization
11 Citations (Scopus)

Permutation polynomials

Mullen, G. L. & Wang, Q., Jan 1 2013, Handbook of Finite Fields. CRC Press, p. 215-240 26 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Permutation Polynomial
Polynomials
Polynomial
Odd
Roots
1 Citation (Scopus)

Primitive polynomials

Mullen, G. L. & Panario, D., Jan 1 2013, Handbook of Finite Fields. CRC Press, p. 87-99 13 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Primitive Polynomial
Polynomials
Integer
2012

Internet based service networks

Cui, L., Tirupatikumara, S. R. & Albert, R. Z., Jan 1 2012, Springer Optimization and Its Applications. Springer International Publishing, p. 263-303 41 p. (Springer Optimization and Its Applications; vol. 58).

Research output: Chapter in Book/Report/Conference proceedingChapter

Service Composition
Network Optimization
Network Dynamics
User Preferences
Flow Pattern
1 Citation (Scopus)

MacMahon's dream

Andrews, G. E. & Paule, P., Apr 12 2012, PARTITIONS, Q-SERIES, AND MODULAR FORMS. p. 1-12 12 p. (Developments in Mathematics; vol. 23).

Research output: Chapter in Book/Report/Conference proceedingChapter

Plane Partitions
Generating Function
Retrieval
Partition
Alternatives