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Cieśliński, Jan L.

Author ID: cieslinski.jan-l Recent zbMATH articles by "Cieśliński, Jan L."
Published as: Cieśliński, Jan L.; Cieśliński, Jan; Cieśliński, J. L.; Ciésliński, Jan L.; Cieśliński, J.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 427 times in 281 Documents Cited by Year
Algebraic construction of the Darboux matrix revisited. Zbl 1193.37096
Cieśliński, Jan L.
48
2009
Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces. Zbl 1020.53500
Cieśliński, Jan; Goldstein, Piotr; Sym, Antoni
39
1995
A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients. Zbl 1273.70024
Cieśliński, Jan L.; Nikiciuk, Tomasz
29
2010
The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices. Zbl 0969.37528
Cieśliński, Jan; Doliwa, Adam; Santini, Paolo Maria
25
1997
An algebraic method to construct the Darboux matrix. Zbl 0845.35101
Cieśliński, Jan
24
1995
A generalized formula for integrable classes of surfaces in Lie algebras. Zbl 0893.53003
Cieśliński, Jan
15
1997
An effective method to compute \(N\)-fold Darboux matrix and \(N\)-soliton surfaces. Zbl 0741.53051
Cieśliński, Jan
14
1991
On integrability of the inhomogeneous Heisenberg ferromagnet model: Examination of a new test. Zbl 0843.35089
Cieśliński, Jan; Goldstein, Piotr; Sym, Antoni
13
1994
Improved \(q\)-exponential and \(q\)-trigonometric functions. Zbl 1232.33025
Cieśliński, Jan L.
13
2011
New definitions of exponential, hyperbolic and trigonometric functions on time scales. Zbl 1237.26019
Cieśliński, Jan L.
13
2012
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems. Zbl 1218.65144
Cieśliński, Jan L.; Ratkiewicz, Bogusław
12
2011
On the exact discretization of the classical harmonic oscillator equation. Zbl 1232.65175
Cieśliński, Jan L.
11
2011
Pseudospherical surfaces on time scales: a geometric definition and the spectral approach. Zbl 1138.53008
Cieśliński, Jan L.
11
2007
An orbit-preserving discretization of the classical Kepler problem. Zbl 1209.70003
Cieśliński, Jan L.
10
2007
Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system. Zbl 0776.35069
Cieśliński, Jan
10
1993
On simulations of the classical harmonic oscillator equation by difference equations. Zbl 1139.65056
Cieśliński, Jan L.; Ratkiewicz, Bogusław
9
2006
Non-local symmetries and a working algorithm to isolate integrable geometries. Zbl 0776.53015
Cieśliński, Jan
8
1993
On the geometry of the inhomogeneous Heisenberg ferromagnet: Non- integrable case. Zbl 0774.53041
Cieśliński, Jan; Sym, Antoni; Wesselius, Willem
8
1993
The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach. Zbl 0982.53003
Cieśliński, Jan
8
1997
A new approach to the Darboux-Bäcklund transformation versus the standard dressing method. Zbl 1223.37082
Ciésliński, Jan L.; Biernacki, Waldemar
7
2005
Lie symmetries as a tool to isolate integrable geometries. Zbl 0941.35506
Cieśliński, Jan
6
1992
Geometry of submanifolds derived from spin-valued spectral problems. Zbl 1178.53044
Cieśliński, J. L.
6
2003
Long-time behaviour of discretizations of the simple pendulum equation. Zbl 1160.65064
Cieśliński, Jan L.; Ratkiewicz, Bogusław
6
2009
The cross ratio and Clifford algebras. Zbl 0907.15018
Cieśliński, Jan
5
1997
A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras. Zbl 0970.15021
Biernacki, W.; Cieśliński, J. L.
5
2001
The Darboux-Bianchi-Bäcklund transformation and soliton surfaces. Zbl 0924.35130
Cieśliński, Jan
5
1998
Darboux covariant equations of von Neumann type and their generalizations. Zbl 1062.37065
Cieśliński, Jan L.; Czachor, Marek; Ustinov, Nikolai V.
5
2003
Locally exact modifications of numerical schemes. Zbl 1416.65511
Cieśliński, Jan L.
5
2013
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach. Zbl 1371.37121
Cieśliński, Jan L.; Prykarpatski, Anatolij K.
5
2015
Divisors of zero in the Lipschitz semigroup. Zbl 1120.15026
Cieśliński, Jan L.
4
2007
The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\). Zbl 0969.53503
Cieśliński, Jan
4
1997
A class of linear spectral problems in Clifford algebras. Zbl 0944.37038
Cieśliński, Jan L.
4
2000
The Bäcklund transformation for discrete isothermic surfaces. Zbl 0927.37055
Cieśliński, Jan
4
1999
Improving the accuracy of the AVF method. Zbl 1291.65360
Cieśliński, Jan L.
4
2014
The sine-Gordon equation on time scales. Zbl 1329.37064
Cieśliński, Jan L.; Nikiciuk, Tomasz; Waśkiewicz, Kamil
4
2015
The Darboux-Bäcklund transformation without using a matrix representation. Zbl 0972.35123
Cieśliński, Jan L.
3
2000
A geometric interpretation of the spectral problem for the generalized sine-Gordon system. Zbl 0992.37059
Cieśliński, Jan L.; Aminov, Yuriy A.
3
2001
The Darboux-Bäcklund transformation for the static 2-dimensional continuum Heisenberg chain. Zbl 1108.82049
Cieśliński, Jan L.; Czarnecka, Joanna
3
2006
Some implications of a new approach to exponential functions on time scales. Zbl 1306.33002
Cieśliński, Jan L.
3
2011
A geometric interpretation of the spectral parameter for surfaces of constant mean curvature. Zbl 1110.35319
Cieśliński, J. L.
2
2006
Comment on “Conservative discretizations of the Kepler motion”. Zbl 1241.70018
Cieśliński, Jan L.
2
2010
Algebraic representation of the linear problem as a method to construct the Darboux-Bäcklund transformation. Zbl 1080.37588
Cieśliński, Jan
2
1995
Locally exact modifications of discrete gradient schemes. Zbl 1429.65296
Cieśliński, Jan L.
2
2013
Discrete gradient algorithms of high order for one-dimensional systems. Zbl 1264.65207
Cieśliński, Jan L.; Ratkiewicz, Bogusław
2
2012
On the regularity of the Bäcklund transformation for pseudospherical surfaces. Zbl 1068.53008
Aminov, Yuriy A.; Cieśliński, Jan L.
1
2003
How to construct Darboux-invariant equations of von Neumann type. Zbl 1068.37503
Cieśliński, Jan L.
1
2002
How isothermic surfaces helped to understand other integrable systems. Zbl 1087.53006
Cieśliński, Jan L.
1
2000
On the geometry of the hyperbolic scator space in \(1+2\) dimensions. Zbl 1457.17005
Kobus, Artur; Cieśliński, Jan L.
1
2017
Group interpretation of the spectral parameter. The case of isothermic surfaces. Zbl 1359.58010
Cieśliński, Jan L.; Kobus, Artur
1
2017
The structure of spectral problems and geometry: Hyperbolic surfaces in \(E^3\). Zbl 1033.35094
Cieśliński, Jan L.
1
2003
On the geometry of the hyperbolic scator space in \(1+2\) dimensions. Zbl 1457.17005
Kobus, Artur; Cieśliński, Jan L.
1
2017
Group interpretation of the spectral parameter. The case of isothermic surfaces. Zbl 1359.58010
Cieśliński, Jan L.; Kobus, Artur
1
2017
Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach. Zbl 1371.37121
Cieśliński, Jan L.; Prykarpatski, Anatolij K.
5
2015
The sine-Gordon equation on time scales. Zbl 1329.37064
Cieśliński, Jan L.; Nikiciuk, Tomasz; Waśkiewicz, Kamil
4
2015
Improving the accuracy of the AVF method. Zbl 1291.65360
Cieśliński, Jan L.
4
2014
Locally exact modifications of numerical schemes. Zbl 1416.65511
Cieśliński, Jan L.
5
2013
Locally exact modifications of discrete gradient schemes. Zbl 1429.65296
Cieśliński, Jan L.
2
2013
New definitions of exponential, hyperbolic and trigonometric functions on time scales. Zbl 1237.26019
Cieśliński, Jan L.
13
2012
Discrete gradient algorithms of high order for one-dimensional systems. Zbl 1264.65207
Cieśliński, Jan L.; Ratkiewicz, Bogusław
2
2012
Improved \(q\)-exponential and \(q\)-trigonometric functions. Zbl 1232.33025
Cieśliński, Jan L.
13
2011
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems. Zbl 1218.65144
Cieśliński, Jan L.; Ratkiewicz, Bogusław
12
2011
On the exact discretization of the classical harmonic oscillator equation. Zbl 1232.65175
Cieśliński, Jan L.
11
2011
Some implications of a new approach to exponential functions on time scales. Zbl 1306.33002
Cieśliński, Jan L.
3
2011
A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients. Zbl 1273.70024
Cieśliński, Jan L.; Nikiciuk, Tomasz
29
2010
Comment on “Conservative discretizations of the Kepler motion”. Zbl 1241.70018
Cieśliński, Jan L.
2
2010
Algebraic construction of the Darboux matrix revisited. Zbl 1193.37096
Cieśliński, Jan L.
48
2009
Long-time behaviour of discretizations of the simple pendulum equation. Zbl 1160.65064
Cieśliński, Jan L.; Ratkiewicz, Bogusław
6
2009
Pseudospherical surfaces on time scales: a geometric definition and the spectral approach. Zbl 1138.53008
Cieśliński, Jan L.
11
2007
An orbit-preserving discretization of the classical Kepler problem. Zbl 1209.70003
Cieśliński, Jan L.
10
2007
Divisors of zero in the Lipschitz semigroup. Zbl 1120.15026
Cieśliński, Jan L.
4
2007
On simulations of the classical harmonic oscillator equation by difference equations. Zbl 1139.65056
Cieśliński, Jan L.; Ratkiewicz, Bogusław
9
2006
The Darboux-Bäcklund transformation for the static 2-dimensional continuum Heisenberg chain. Zbl 1108.82049
Cieśliński, Jan L.; Czarnecka, Joanna
3
2006
A geometric interpretation of the spectral parameter for surfaces of constant mean curvature. Zbl 1110.35319
Cieśliński, J. L.
2
2006
A new approach to the Darboux-Bäcklund transformation versus the standard dressing method. Zbl 1223.37082
Ciésliński, Jan L.; Biernacki, Waldemar
7
2005
Geometry of submanifolds derived from spin-valued spectral problems. Zbl 1178.53044
Cieśliński, J. L.
6
2003
Darboux covariant equations of von Neumann type and their generalizations. Zbl 1062.37065
Cieśliński, Jan L.; Czachor, Marek; Ustinov, Nikolai V.
5
2003
On the regularity of the Bäcklund transformation for pseudospherical surfaces. Zbl 1068.53008
Aminov, Yuriy A.; Cieśliński, Jan L.
1
2003
The structure of spectral problems and geometry: Hyperbolic surfaces in \(E^3\). Zbl 1033.35094
Cieśliński, Jan L.
1
2003
How to construct Darboux-invariant equations of von Neumann type. Zbl 1068.37503
Cieśliński, Jan L.
1
2002
A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras. Zbl 0970.15021
Biernacki, W.; Cieśliński, J. L.
5
2001
A geometric interpretation of the spectral problem for the generalized sine-Gordon system. Zbl 0992.37059
Cieśliński, Jan L.; Aminov, Yuriy A.
3
2001
A class of linear spectral problems in Clifford algebras. Zbl 0944.37038
Cieśliński, Jan L.
4
2000
The Darboux-Bäcklund transformation without using a matrix representation. Zbl 0972.35123
Cieśliński, Jan L.
3
2000
How isothermic surfaces helped to understand other integrable systems. Zbl 1087.53006
Cieśliński, Jan L.
1
2000
The Bäcklund transformation for discrete isothermic surfaces. Zbl 0927.37055
Cieśliński, Jan
4
1999
The Darboux-Bianchi-Bäcklund transformation and soliton surfaces. Zbl 0924.35130
Cieśliński, Jan
5
1998
The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices. Zbl 0969.37528
Cieśliński, Jan; Doliwa, Adam; Santini, Paolo Maria
25
1997
A generalized formula for integrable classes of surfaces in Lie algebras. Zbl 0893.53003
Cieśliński, Jan
15
1997
The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach. Zbl 0982.53003
Cieśliński, Jan
8
1997
The cross ratio and Clifford algebras. Zbl 0907.15018
Cieśliński, Jan
5
1997
The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\). Zbl 0969.53503
Cieśliński, Jan
4
1997
Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces. Zbl 1020.53500
Cieśliński, Jan; Goldstein, Piotr; Sym, Antoni
39
1995
An algebraic method to construct the Darboux matrix. Zbl 0845.35101
Cieśliński, Jan
24
1995
Algebraic representation of the linear problem as a method to construct the Darboux-Bäcklund transformation. Zbl 1080.37588
Cieśliński, Jan
2
1995
On integrability of the inhomogeneous Heisenberg ferromagnet model: Examination of a new test. Zbl 0843.35089
Cieśliński, Jan; Goldstein, Piotr; Sym, Antoni
13
1994
Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system. Zbl 0776.35069
Cieśliński, Jan
10
1993
Non-local symmetries and a working algorithm to isolate integrable geometries. Zbl 0776.53015
Cieśliński, Jan
8
1993
On the geometry of the inhomogeneous Heisenberg ferromagnet: Non- integrable case. Zbl 0774.53041
Cieśliński, Jan; Sym, Antoni; Wesselius, Willem
8
1993
Lie symmetries as a tool to isolate integrable geometries. Zbl 0941.35506
Cieśliński, Jan
6
1992
An effective method to compute \(N\)-fold Darboux matrix and \(N\)-soliton surfaces. Zbl 0741.53051
Cieśliński, Jan
14
1991
all top 5

Cited by 347 Authors

27 Cieśliński, Jan L.
17 Sakhnovich, Alexander L.
10 Doliwa, Adam
7 El-Nabulsi, Rami Ahmad
7 Hassan, Mahmood-Ul
6 Elenin, G. G.
6 Elenina, T. G.
5 Grundland, Alfred Michel
5 Ling, Liming
5 Prykarpatsky, Anatoliy Karolevych
5 Schief, Wolfgang Karl
4 Bobenko, Alexander Ivanovich
4 de Lucas, Javier
4 Fritzsche, Bernd
4 Haider, Bushra
4 Kirstein, Bernd
4 Li, Yishen
4 Liu, Kai
4 Oganesyan, Gro R.
4 Santini, Paolo Maria
4 Zhang, Yi
3 Anderson, Douglas Robert
3 Burstall, Francis Everett
3 Czachor, Marek
3 Geng, Xianguo
3 Herranz, Francisco José
3 Kobus, Artur
3 Leschke, Katrin
3 Liu, Qingping
3 Luo, Shaokai
3 Morozov, Oleg I.
3 Musielak, Zdzislaw E.
3 Musso, Emilio
3 Nicolodi, Lorenzo
3 Nieszporski, Maciej
3 Onitsuka, Masakazu
3 Roitberg, Inna Ya.
3 Saleem, Umair
3 Shi, Wei
3 Wu, Xinyuan
3 Zhai, Yunyun
3 Zhang, Xiaotian
3 Zhou, Zixiang
2 Amjad, Zeeshan
2 Ballesteros, Angel
2 Cai, Jiaxiang
2 Cariñena, José F.
2 Castro, Airton
2 Chen, Chunli
2 Cheng, Yi
2 Cho, Joseph
2 Cuevas, Claudio
2 Dai, Yun
2 Ding, Deqiong
2 Ding, Xiaohua
2 Donaldson, Neil M.
2 Fan, Engui
2 Fernández Guasti, Manuel
2 Fernández-Núñez, José
2 Goldstein, Piotr P.
2 Gong, Yuezheng
2 He, Jingsong
2 He, Jinman
2 Hertrich-Jeromin, Udo J.
2 Huhnen-Venedey, Emanuel Christoph
2 Ji, Ting
2 Lakshmanan, Muthusamy
2 Mao, Hui
2 Marvan, Michal
2 Mikhailov, Alexander Vasil’evich
2 Moriya, Katsuhiro
2 Mushahid, Nosheen
2 Pinkall, Ulrich
2 Qin, Wendi
2 Qiu, Deqin
2 Rossman, Wayne
2 Rybkin, Alexei
2 Sardón, Cristina
2 Senthilvelan, Murugaian
2 Sergeev, Sergeĭ Mikhaĭlovich
2 Sergyeyev, Artur
2 Sowa, Artur
2 Sun, Xuan
2 Sym, Antoni
2 Tarasov, Vasily E.
2 Tek, Suleyman
2 Wang, Peng
2 Wang, Yushun
2 Xue, Lingling
2 Yang, Bo
2 Younus, Awais
2 Zaldívar, Felipe
2 Zhang, Ling
2 Zhang, Linjie
2 Zhang, Yingnan
1 Abdeljawad, Thabet
1 Acet, Bilal Eftal
1 Aerts, Diederik Emiel
1 Akgüller, Ömer
1 Aloqaily, Ahmad
...and 247 more Authors
all top 5

Cited in 111 Serials

26 Journal of Mathematical Physics
19 Journal of Geometry and Physics
11 Physics Letters. A
10 Journal of Physics A: Mathematical and Theoretical
9 Theoretical and Mathematical Physics
9 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Nonlinear Mathematical Physics
8 Journal of Mathematical Analysis and Applications
8 Applied Mathematics and Computation
7 Studies in Applied Mathematics
7 Advances in Difference Equations
6 Nonlinear Dynamics
5 Geometriae Dedicata
5 Journal of Mathematical Sciences (New York)
5 Advances in Applied Clifford Algebras
5 Journal of Difference Equations and Applications
4 Qualitative Theory of Dynamical Systems
4 Communications in Theoretical Physics
3 Modern Physics Letters A
3 Computers & Mathematics with Applications
3 Acta Applicandae Mathematicae
3 Differential Equations
2 Acta Mechanica
2 International Journal of Theoretical Physics
2 Letters in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Reports on Mathematical Physics
2 Journal of Differential Equations
2 Results in Mathematics
2 Chinese Annals of Mathematics. Series B
2 Annals of Global Analysis and Geometry
2 Physica D
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 The Journal of Geometric Analysis
2 Computational Mathematics and Mathematical Physics
2 Filomat
2 Abstract and Applied Analysis
2 Operators and Matrices
2 Advances in Mathematical Physics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Wave Motion
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Commentationes Mathematicae Universitatis Carolinae
1 Demonstratio Mathematica
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quaestiones Mathematicae
1 SIAM Journal on Numerical Analysis
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 Constructive Approximation
1 Discrete & Computational Geometry
1 Science in China. Series A
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Numerical Algorithms
1 Aequationes Mathematicae
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Experimental Mathematics
1 SIAM Journal on Scientific Computing
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Arab Journal of Mathematical Sciences
1 Documenta Mathematica
1 Mathematics and Mechanics of Solids
1 Open Systems & Information Dynamics
1 Journal of Inequalities and Applications
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Acta Mathematica Sinica. English Series
1 Foundations of Science
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Matematicheskoe Modelirovanie
1 Foundations of Computational Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Journal of Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Central European Journal of Mathematics
1 Journal of Analysis and Applications
1 Mediterranean Journal of Mathematics
...and 11 more Serials
all top 5

Cited in 42 Fields

137 Dynamical systems and ergodic theory (37-XX)
98 Partial differential equations (35-XX)
69 Differential geometry (53-XX)
39 Numerical analysis (65-XX)
36 Ordinary differential equations (34-XX)
28 Mechanics of particles and systems (70-XX)
25 Difference and functional equations (39-XX)
24 Quantum theory (81-XX)
22 Global analysis, analysis on manifolds (58-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
11 Real functions (26-XX)
10 Geometry (51-XX)
10 Convex and discrete geometry (52-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Nonassociative rings and algebras (17-XX)
8 Number theory (11-XX)
7 Special functions (33-XX)
7 Operator theory (47-XX)
7 Fluid mechanics (76-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Optics, electromagnetic theory (78-XX)
5 Combinatorics (05-XX)
4 Algebraic geometry (14-XX)
4 Topological groups, Lie groups (22-XX)
4 Systems theory; control (93-XX)
3 Functions of a complex variable (30-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of deformable solids (74-XX)
2 Associative rings and algebras (16-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
2 Biology and other natural sciences (92-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year