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Dennis, Mark R.

Co-Author Distance
Author ID: dennis.mark-r Recent zbMATH articles by "Dennis, Mark R."
Published as: Dennis, M. R.; Dennis, Mark R.; Dennis, Mark
Documents Indexed: 37 Publications since 2000, including 7 Additional arXiv Preprints
3 Contributions as Editor
Co-Authors: 30 Co-Authors with 33 Joint Publications
668 Co-Co-Authors
all top 5

Co-Authors

7 single-authored
10 Berry, Michael
5 Taylor, Alexander John
3 Bode, Benjamin
2 Alexander, Keith
2 Alonso, Miguel Angel
2 Götte, Jörg B.
2 Hannay, J. H.
2 Shukla, Pragya
1 Bennett, Edward
1 Dubertrand, Rémy
1 Edjvet, Martin
1 Glendinning, Paul Alexander
1 Gradhand, Martin
1 Higham, Nicholas J.
1 Houston, Alexander J. H.
1 Howls, Christopher John
1 Irvine, William T. M.
1 Kedia, Hridesh
1 King, R. P.
1 Land, Kate
1 Martin, Paul Andrew
1 McRoberts, B.
1 Morgan, Michael A.
1 Popescu, Sandu
1 Robbins, Jonathan M.
1 Santosa, Fadil N.
1 Tanner, Jared W.
1 Tijssen, Teuntje
1 Vaidman, Lev
1 Whittington, Stuart G.
all top 5

Serials

13 Journal of Physics A: Mathematical and Theoretical
6 Journal of Physics A: Mathematical and General
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 New Journal of Physics
1 European Journal of Physics
1 Journal of Knot Theory and its Ramifications
1 Journal of Group Theory
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Fields

14 Quantum theory (81-XX)
10 Optics, electromagnetic theory (78-XX)
6 Partial differential equations (35-XX)
5 Manifolds and cell complexes (57-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Probability theory and stochastic processes (60-XX)
3 General and overarching topics; collections (00-XX)
2 Numerical analysis (65-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

26 Publications have been cited 252 times in 191 Documents Cited by ▼ Year ▼
Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472
Berry, M. V.; Dennis, M. R.
43
2009
Phase singularities in isotropic random waves. Zbl 0978.35072
Berry, M. V.; Dennis, M. R.
37
2000
The Princeton companion to applied mathematics. Zbl 1327.00002
20
2015
Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016
Berry, M. V.; Dennis, M. R.
19
2001
Knotted fields and explicit fibrations for lemniscate knots. Zbl 1402.57006
Bode, B.; Dennis, M. R.; Foster, D.; King, R. P.
12
2017
Geometry of Călugăreanu’s theorem. Zbl 1370.53003
Dennis, M. R.; Hannay, J. H.
12
2005
Constructing a polynomial whose nodal set is any prescribed knot or link. Zbl 1411.57010
Bode, Benjamin; Dennis, Mark R.
11
2019
The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500
Berry, M. V.; Dennis, M. R.
11
2003
Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033
Berry, M. V.; Dennis, M. R.
10
2008
Constructing a polynomial whose nodal set is the three-twist knot \(5_{2}\). Zbl 1397.57008
Dennis, Mark R.; Bode, Benjamin
10
2017
Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166
Berry, M. V.; Dennis, M. R.
9
2007
Canonical representation of spherical functions: Sylvester’s theorem, Maxwell’s multipoles and Majorana’s sphere. Zbl 1069.43003
Dennis, M. R.
8
2004
Polarization singularities in isotropic random vector waves. Zbl 0988.78010
Berry, M. V.; Dennis, M. R.
6
2001
Saddle points in the chaotic analytic function and Ginibre characteristic polynomial. Zbl 1042.82018
Dennis, M. R.; Hannay, J. H.
6
2003
The analogy between optical beam shifts and quantum weak measurements. Zbl 1448.78008
Dennis, Mark R.; Götte, Jörg B.
6
2012
Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. Zbl 0997.35097
Berry, M. V.; Dennis, M. R.
5
2001
Reconnections of wave vortex lines. Zbl 1262.78006
Berry, M. V.; Dennis, M. R.
4
2012
Generalized shifts and weak values for polarization components of reflected light beams. Zbl 1448.78010
Götte, J. B.; Dennis, M. R.
4
2012
Geometry and scaling of tangled vortex lines in three-dimensional random wave fields. Zbl 1314.82020
Taylor, A. J.; Dennis, M. R.
4
2014
Weak value distributions for spin 1/2. Zbl 1216.81021
Berry, M. V.; Dennis, M. R.; McRoberts, B.; Shukla, P.
3
2011
Correlations and screening of topological charges in Gaussian random fields. Zbl 1037.60048
Dennis, M. R.
3
2003
Correlations between Maxwell’s multipoles for Gaussian random functions on the sphere. Zbl 1160.82325
Dennis, M. R.
3
2005
Swings and roundabouts: optical Poincaré spheres for polarization and Gaussian beams. Zbl 1404.78015
Dennis, M. R.; Alonso, M. A.
2
2017
Knot probabilities in equilateral random polygons. Zbl 1519.57013
Xiong, A.; Taylor, A. J.; Dennis, M. R.; Whittington, S. G.
2
2021
Near integrable systems. Zbl 1177.81046
Bogomolny, E.; Dennis, M. R.; Dubertrand, R.
1
2009
A random wave model for the Aharonov-Bohm effect. Zbl 1367.81048
Houston, Alexander J. H.; Gradhand, Martin; Dennis, Mark R.
1
2017
Knot probabilities in equilateral random polygons. Zbl 1519.57013
Xiong, A.; Taylor, A. J.; Dennis, M. R.; Whittington, S. G.
2
2021
Constructing a polynomial whose nodal set is any prescribed knot or link. Zbl 1411.57010
Bode, Benjamin; Dennis, Mark R.
11
2019
Knotted fields and explicit fibrations for lemniscate knots. Zbl 1402.57006
Bode, B.; Dennis, M. R.; Foster, D.; King, R. P.
12
2017
Constructing a polynomial whose nodal set is the three-twist knot \(5_{2}\). Zbl 1397.57008
Dennis, Mark R.; Bode, Benjamin
10
2017
Swings and roundabouts: optical Poincaré spheres for polarization and Gaussian beams. Zbl 1404.78015
Dennis, M. R.; Alonso, M. A.
2
2017
A random wave model for the Aharonov-Bohm effect. Zbl 1367.81048
Houston, Alexander J. H.; Gradhand, Martin; Dennis, Mark R.
1
2017
The Princeton companion to applied mathematics. Zbl 1327.00002
20
2015
Geometry and scaling of tangled vortex lines in three-dimensional random wave fields. Zbl 1314.82020
Taylor, A. J.; Dennis, M. R.
4
2014
The analogy between optical beam shifts and quantum weak measurements. Zbl 1448.78008
Dennis, Mark R.; Götte, Jörg B.
6
2012
Reconnections of wave vortex lines. Zbl 1262.78006
Berry, M. V.; Dennis, M. R.
4
2012
Generalized shifts and weak values for polarization components of reflected light beams. Zbl 1448.78010
Götte, J. B.; Dennis, M. R.
4
2012
Weak value distributions for spin 1/2. Zbl 1216.81021
Berry, M. V.; Dennis, M. R.; McRoberts, B.; Shukla, P.
3
2011
Natural superoscillations in monochromatic waves in \(D\) dimensions. Zbl 1161.35472
Berry, M. V.; Dennis, M. R.
43
2009
Near integrable systems. Zbl 1177.81046
Bogomolny, E.; Dennis, M. R.; Dubertrand, R.
1
2009
Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. Zbl 1139.81033
Berry, M. V.; Dennis, M. R.
10
2008
Topological events on wave dislocation lines: birth and death of loops, and reconnection. Zbl 1110.81166
Berry, M. V.; Dennis, M. R.
9
2007
Geometry of Călugăreanu’s theorem. Zbl 1370.53003
Dennis, M. R.; Hannay, J. H.
12
2005
Correlations between Maxwell’s multipoles for Gaussian random functions on the sphere. Zbl 1160.82325
Dennis, M. R.
3
2005
Canonical representation of spherical functions: Sylvester’s theorem, Maxwell’s multipoles and Majorana’s sphere. Zbl 1069.43003
Dennis, M. R.
8
2004
The optical singularities of birefringent dichroic chiral crystals. Zbl 1092.78500
Berry, M. V.; Dennis, M. R.
11
2003
Saddle points in the chaotic analytic function and Ginibre characteristic polynomial. Zbl 1042.82018
Dennis, M. R.; Hannay, J. H.
6
2003
Correlations and screening of topological charges in Gaussian random fields. Zbl 1037.60048
Dennis, M. R.
3
2003
Knotted and linked phase singularities in monochromatic waves. Zbl 1013.35016
Berry, M. V.; Dennis, M. R.
19
2001
Polarization singularities in isotropic random vector waves. Zbl 0988.78010
Berry, M. V.; Dennis, M. R.
6
2001
Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. Zbl 0997.35097
Berry, M. V.; Dennis, M. R.
5
2001
Phase singularities in isotropic random waves. Zbl 0978.35072
Berry, M. V.; Dennis, M. R.
37
2000
all cited Publications top 5 cited Publications
all top 5

Cited by 333 Authors

19 Colombo, Fabrizio
17 Struppa, Daniele Carlo
16 Sabadini, Irene
12 Aharonov, Yakir
11 Bode, Benjamin
7 Berry, Michael
7 Dennis, Mark R.
4 Behrndt, Jussi
4 Bliokh, Konstantin Yu.
4 Schlosser, Peter
4 Yger, Alain
3 Afgoustidis, Alexandre
3 Alpay, Daniel Aron
3 Arrayás, Manuel
3 Dalmao, Federico
3 Kirillov, Oleg N.
3 León, José Rafael R.
3 Peralta-Salas, Daniel
3 Ricca, Renzo L.
3 Trueba, José Luis
2 Alexander, Gareth P.
2 Aoki, Takashi
2 Azaïs, Jean-Marc
2 Barnett, Stephen M.
2 Chan, Eunice Y. S.
2 Corless, Robert Malcolm
2 Estrade, Anne
2 Gantner, Jonathan
2 Gesztesy, Fritz
2 Götte, Jörg B.
2 Hannay, J. H.
2 Irvine, William T. M.
2 Ishio, Hiromu
2 Machon, Thomas
2 Nori, Franco
2 Olendski, Oleg
2 Peccati, Giovanni
2 Rudnick, Zeév
2 Sadreev, Almas F.
2 Sumners, De Witt Lee
2 Tollaksen, Jeff
2 Venkataramani, Shankar C.
2 Wigman, Igor
2 Zhang, Pengming
1 Abreu, Luís Daniel
1 Aharoni, Hillel
1 Akhmatskaya, Elena
1 Akhmet’ev, Pëtr Mikhaĭlovich
1 Akutsu, Tomotada
1 Anache-Ménier, Domitille
1 Araújo dos Santos, Raimundo Nonato
1 Arvind
1 Aulbach, Martin
1 Babiker, Mohamed
1 Bacha, Bakht Amin
1 Barbensi, Agnese
1 Batchelor, Murray T.
1 Bekshaev, Aleksandr Y.
1 Belkić, Dževad
1 Bennequin, Daniel
1 Berger, Mitchell A.
1 Berggren, Karl-Fredrik
1 Berman, Gennady P.
1 Beuman, Thomas H.
1 Binysh, Jack
1 Botet, Robert
1 Bouwmeester, Dik
1 Braun, Daniel
1 Braun, Petr A.
1 Brown, Malcolm W.
1 Buck, Dorothy
1 Buniy, Roman V.
1 Burke, Kieron
1 Byun, Sung-Soo
1 Calixto, Manuel
1 Cantarella, Jason H.
1 Carlini, Federico
1 Cartwright, Julyan H. E.
1 Chaturvedi, Sanchit
1 Chaturvedi, Subhash
1 Chen, Haitao
1 Chen, Jingling
1 Chen, Ziyang
1 Cherroret, Nicolas
1 Cho, Yongmin
1 Chwastyk, Mateusz
1 Cieplak, Marek
1 Citti, Giovanna
1 Collins, Megan
1 Coluzza, Ivan
1 Čopar, Simon
1 Craik, David J.
1 Crippa, Davide
1 Cruz-White, Irma I.
1 de Carvalho Braga, Denis
1 Delmas, Céline
1 Di Stefano, Marco
1 Dietz, Barbara
1 Duan, Yishi
1 Eisenstein, Robert A.
...and 233 more Authors
all top 5

Cited in 87 Serials

31 Journal of Physics A: Mathematical and Theoretical
7 New Journal of Physics
7 Quantum Studies: Mathematics and Foundations
6 Physics Letters. A
5 Annals of Physics
5 The Journal of Fourier Analysis and Applications
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Knot Theory and its Ramifications
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Modern Physics Letters A
3 Communications in Mathematical Physics
3 European Journal of Physics
3 Journal of Mathematical Physics
3 Journal of Statistical Physics
3 Physics Reports
3 Journal of High Energy Physics
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 International Journal of Modern Physics A
2 Wave Motion
2 Journal of Differential Equations
2 Transactions of the American Mathematical Society
2 Annals of Global Analysis and Geometry
2 Historia Mathematica
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Electronic Journal of Probability
2 Journal of Statistical Mechanics: Theory and Experiment
2 Complex Analysis and Operator Theory
2 The Journal of Mathematical Neuroscience
2 Research in the Mathematical Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics B
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Theoretical and Mathematical Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 Synthese
1 Topology and its Applications
1 Physica D
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Journal of the American Mathematical Society
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Review
1 Stochastic Processes and their Applications
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
1 Journal of Computational Neuroscience
1 Bernoulli
1 Journal of Mathematical Chemistry
1 Mathematical Physics, Analysis and Geometry
1 Extremes
1 Journal of Modern Optics
1 Czechoslovak Journal of Physics
1 Journal of Evolution Equations
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Milan Journal of Mathematics
1 Quantum Information Processing
1 International Journal of Quantum Information
1 Foundations of Physics
1 Waves in Random and Complex Media
1 Chinese Journal of Physics (Taipei)
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Differential Equations
1 Journal of Singularities
1 Journal of Agricultural, Biological, and Environmental Statistics
1 Symmetry
1 Journal of Spectral Theory
1 Analysis and Mathematical Physics
1 Annalen der Physik
1 Lettera Matematica. International Edition
1 European Journal of Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 PUMP Journal of Undergraduate Research
1 SciPost Physics
all top 5

Cited in 48 Fields

59 Quantum theory (81-XX)
39 Partial differential equations (35-XX)
36 Optics, electromagnetic theory (78-XX)
25 Probability theory and stochastic processes (60-XX)
23 Manifolds and cell complexes (57-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
16 Statistical mechanics, structure of matter (82-XX)
14 Operator theory (47-XX)
13 Fluid mechanics (76-XX)
12 Functions of a complex variable (30-XX)
12 Several complex variables and analytic spaces (32-XX)
7 Algebraic geometry (14-XX)
7 Relativity and gravitational theory (83-XX)
6 Differential geometry (53-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Biology and other natural sciences (92-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Ordinary differential equations (34-XX)
5 Statistics (62-XX)
5 Numerical analysis (65-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Mechanics of deformable solids (74-XX)
3 Integral transforms, operational calculus (44-XX)
3 Mechanics of particles and systems (70-XX)
3 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Astronomy and astrophysics (85-XX)
2 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year