## Gidas, Basilis

Compute Distance To:
 Author ID: gidas.basilis Published as: Gidas, Basilis; Gidas, B.
 Documents Indexed: 23 Publications since 1979 Co-Authors: 10 Co-Authors with 14 Joint Publications 469 Co-Co-Authors
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### Co-Authors

 9 single-authored 4 Spruck, Joel 3 Murúa, Alejandro E. 2 Caffarelli, Luis Ángel 2 Comets, Francis M. 2 Ni, Wei-Ming 2 Nirenberg, Louis 1 Almeida, Murilo P. 1 Carvalho Gomes, Fernando 1 Mumford, David Bryant 1 Robertson, Christopher A.
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### Serials

 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Quarterly of Applied Mathematics 2 The Annals of Applied Probability 1 Journal of Statistical Physics 1 The Annals of Statistics 1 Probability Theory and Related Fields 1 Annals of Physics 1 Communications in Partial Differential Equations 1 IEEE Transactions on Pattern Analysis and Machine Intelligence
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### Fields

 9 Partial differential equations (35-XX) 7 Probability theory and stochastic processes (60-XX) 7 Statistics (62-XX) 4 Computer science (68-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 3,263 times in 2,571 Documents Cited by Year
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1979
Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003
Gidas, B.; Spruck, J.
1981
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
1981
Symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb R^n$$. Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1981
Nonstationary Markov chains and convergence of the annealing algorithm. Zbl 0642.60049
Gidas, Basilis
1985
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
2001
Symmetry properties and isolated singularities of positive solutions of nonlinear elliptic equations. Zbl 0444.35038
Gidas, Basilis
1980
Metropolis-type Monte Carlo simulation algorithms and simulated annealing. Zbl 0864.60062
Gidas, Basilis
1995
The Glimm-Jaffe-Spencer expansion for the classical boundary conditions and coexistence of phases in the $$\lambda\varphi^4_2$$ Euclidean (quantum) field theory. Zbl 0396.35080
Gidas, Basilis
1979
A variational method for estimating the parameters of MRF from complete or incomplete data. Zbl 0771.60091
Almeida, Murilo P.; Gidas, Basilis
1993
Consistency of maximum likelihood and pseudolikelihood estimators for Gibbs distribution. Zbl 0648.62099
Gidas, B.
1988
Asymptotics of maximum likelihood estimators for the Curie-Weiss model. Zbl 0749.62018
Comets, Francis; Gidas, Basilis
1991
A renormalization group approach to image processing problems. Zbl 0709.68606
Gidas, Basilis
1989
Parameter estimation for Gibbs distributions from partially observed data. Zbl 0742.60026
Comets, Francis; Gidas, Basilis
1992
The Langevin equation as a global minimization algorithm. Reprint of the 1986 hardback original. Zbl 1328.90112
Gidas, Basilis
1986
On multimeron solutions of the Yang-Mills equation. Zbl 0538.35070
Caffarelli, L.; Gidas, B.; Spruck, J.
1983
Stop consonants discrimination and clustering using nonlinear transformations and wavelets. Zbl 0895.62067
Gidas, Basilis; Murua, Alejandro
1996
Optimal transformations for prediction in continuous-time stochastic processes. Zbl 0931.60027
Gidas, B.; Murua, A.
1998
Stochastic models for generic images. Zbl 1159.68598
Mumford, David; Gidas, Basilis
2001
Optimal transformations for prediction in continuous-time stochastic processes. Zbl 0931.60027
Gidas, B.; Murua, A.
1998
Stop consonants discrimination and clustering using nonlinear transformations and wavelets. Zbl 0895.62067
Gidas, Basilis; Murua, Alejandro
1996
Metropolis-type Monte Carlo simulation algorithms and simulated annealing. Zbl 0864.60062
Gidas, Basilis
1995
A variational method for estimating the parameters of MRF from complete or incomplete data. Zbl 0771.60091
Almeida, Murilo P.; Gidas, Basilis
1993
Parameter estimation for Gibbs distributions from partially observed data. Zbl 0742.60026
Comets, Francis; Gidas, Basilis
1992
Asymptotics of maximum likelihood estimators for the Curie-Weiss model. Zbl 0749.62018
Comets, Francis; Gidas, Basilis
1991
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth. Zbl 0702.35085
Caffarelli, Luis A.; Gidas, Basilis; Spruck, Joel
1989
A renormalization group approach to image processing problems. Zbl 0709.68606
Gidas, Basilis
1989
Consistency of maximum likelihood and pseudolikelihood estimators for Gibbs distribution. Zbl 0648.62099
Gidas, B.
1988
The Langevin equation as a global minimization algorithm. Reprint of the 1986 hardback original. Zbl 1328.90112
Gidas, Basilis
1986
Nonstationary Markov chains and convergence of the annealing algorithm. Zbl 0642.60049
Gidas, Basilis
1985
On multimeron solutions of the Yang-Mills equation. Zbl 0538.35070
Caffarelli, L.; Gidas, B.; Spruck, J.
1983
Global and local behavior of positive solutions of nonlinear elliptic equations. Zbl 0465.35003
Gidas, B.; Spruck, J.
1981
A priori bounds for positive solutions of nonlinear elliptic equations. Zbl 0462.35041
Gidas, B.; Spruck, J.
1981
Symmetry of positive solutions of nonlinear elliptic equations in $$\mathbb R^n$$. Zbl 0469.35052
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1981
Symmetry properties and isolated singularities of positive solutions of nonlinear elliptic equations. Zbl 0444.35038
Gidas, Basilis
1980
Symmetry and related properties via the maximum principle. Zbl 0425.35020
Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis
1979
The Glimm-Jaffe-Spencer expansion for the classical boundary conditions and coexistence of phases in the $$\lambda\varphi^4_2$$ Euclidean (quantum) field theory. Zbl 0396.35080
Gidas, Basilis
1979
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### Cited by 2,073 Authors

 53 Wei, Juncheng 29 Sciunzi, Berardino 28 Dancer, Edward Norman 27 Grossi, Massimo 27 Guo, Zongming 26 Byeon, Jaeyoung 26 Pacella, Filomena 25 Li, Congming 24 Dolbeault, Jean 24 Hebey, Emmanuel 23 Korman, Philip L. 22 Li, YanYan 22 Li, Yi 22 Lin, Chang-Shou 22 Weth, Tobias 21 Véron, Laurent 20 Dai, Wei 20 Musso, Monica 20 Pistoia, Angela 19 Ni, Wei-Ming 18 García-Melián, Jorge 18 Quaas, Alexander 18 Suzuki, Takashi 17 Farina, Alberto 17 Souplet, Philippe 16 Esteban, Maria J. 15 Bidaut-Veron, Marie-Françoise 15 Chen, Wenxiong 15 Lei, Yutian 15 Montoro, Luigi 15 Poláčik, Peter 15 Reichel, Wolfgang 15 Wang, Zhi-Qiang 14 Felmer, Patricio L. 14 Harrabi, Abdellaziz 13 Bandle, Catherine 13 Damascelli, Lucio 13 Yu, Xiaohui 13 Zhu, Meijun 12 Berestycki, Henri 12 Cao, Daomin 12 Dávila, Juan 12 Guedes de Figueiredo, Djairo 12 Del Pino, Manuel A. 12 Druet, Olivier 12 Gladiali, Francesca 12 Li, Dongsheng 12 Merle, Frank 12 Peletier, Lambertus Adrianus 12 Peral Alonso, Ireneo 12 Qin, Guolin 12 Quittner, Pavol 12 Suárez, Antonio 12 Zou, Wenming 11 Castro, Alfonso 11 Guo, Yuxia 11 Lu, Guozhen 11 Pardo, Rosa M. 11 Shibata, Tetsutaro 11 Sirakov, Boyan Slavchev 11 Wu, Tsungfang 11 Yanagida, Eiji 11 Zhang, Lei 11 Zhang, Zhengce 10 Bao, Jiguang 10 Dai, Qiuyi 10 Gazzola, Filippo 10 Huang, Xiaotao 10 Lions, Pierre-Louis 10 Mitidieri, Enzo Luigi 10 Peng, Shuangjie 10 Ubilla, Pedro 10 Vétois, Jérôme 10 Wang, Lihe 10 Zhou, Feng 9 Birindelli, Isabeau 9 Cerami, Giovanna 9 Chen, Huyuan 9 Chern, Jann-Long 9 Dou, Jingbo 9 Filippucci, Roberta 9 García-Huidobro, Marta 9 Kielhöfer, Hansjörg 9 Leung, Man Chun 9 Lin, Song-Sun 9 Malchiodi, Andrea 9 Miyamoto, Yasuhito 9 Rahal, Belgacem 9 Raphael, Pierre 9 Taliaferro, Steven D. 9 Thizy, Pierre-Damien 9 Villavert, John 9 Xiong, Jingang 9 Yan, Shusen 9 Yang, Jianfu 9 Yin, Jingxue 9 Zhu, Jiuyi 8 Brock, Friedemann 8 Clapp, Mónica 8 Dai, Guowei ...and 1,973 more Authors
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### Cited in 290 Serials

 247 Journal of Differential Equations 151 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 144 Journal of Mathematical Analysis and Applications 123 Calculus of Variations and Partial Differential Equations 82 Communications in Partial Differential Equations 69 Discrete and Continuous Dynamical Systems 68 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 65 Archive for Rational Mechanics and Analysis 65 Journal of Functional Analysis 64 Nonlinear Analysis. Theory, Methods & Applications 61 Proceedings of the American Mathematical Society 50 Communications on Pure and Applied Analysis 47 Transactions of the American Mathematical Society 46 Communications in Contemporary Mathematics 43 Advanced Nonlinear Studies 39 Communications in Mathematical Physics 38 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 Annali di Matematica Pura ed Applicata. Serie Quarta 35 Mathematische Annalen 35 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 33 Applicable Analysis 33 Advances in Mathematics 32 Duke Mathematical Journal 27 NoDEA. Nonlinear Differential Equations and Applications 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Journal d’Analyse Mathématique 19 Journal of Computational and Applied Mathematics 19 Mathematische Zeitschrift 19 The Journal of Geometric Analysis 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Complex Variables and Elliptic Equations 17 Applied Mathematics Letters 14 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 14 Journal of the European Mathematical Society (JEMS) 14 Advances in Nonlinear Analysis 13 Mathematical Methods in the Applied Sciences 13 Rocky Mountain Journal of Mathematics 13 Applied Mathematics and Computation 13 Mediterranean Journal of Mathematics 13 Boundary Value Problems 13 Science China. Mathematics 11 Proceedings of the Japan Academy. Series A 10 Stochastic Processes and their Applications 10 Journal of Dynamics and Differential Equations 10 Acta Mathematica Sinica. English Series 9 Computers & Mathematics with Applications 9 Communications on Pure and Applied Mathematics 9 Mathematical Notes 9 Nonlinearity 9 Manuscripta Mathematica 9 Milan Journal of Mathematics 8 Bulletin of the Australian Mathematical Society 8 Journal für die Reine und Angewandte Mathematik 8 Revista Matemática Iberoamericana 8 Potential Analysis 8 Topological Methods in Nonlinear Analysis 8 Journal of Fixed Point Theory and Applications 7 Results in Mathematics 7 Zeitschrift für Analysis und ihre Anwendungen 7 Journal of Global Optimization 7 SIAM Journal on Mathematical Analysis 7 Journal of Inequalities and Applications 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Mathematical Physics 6 Inventiones Mathematicae 6 Pacific Journal of Mathematics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Physica D 6 Mathematical and Computer Modelling 6 Applied and Computational Harmonic Analysis 6 Annales Henri Poincaré 6 Differential Equations 6 Nonlinear Analysis. Real World Applications 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Discrete and Continuous Dynamical Systems. Series S 6 Advances in Calculus of Variations 6 SN Partial Differential Equations and Applications 5 Journal of Statistical Physics 5 Memoirs of the American Mathematical Society 5 Tôhoku Mathematical Journal. Second Series 5 Acta Mathematicae Applicatae Sinica. English Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Abstract and Applied Analysis 5 Journal of Evolution Equations 4 Israel Journal of Mathematics 4 Journal of Geometry and Physics 4 Acta Mathematica 4 The Annals of Statistics 4 Indiana University Mathematics Journal 4 Kodai Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Applied Mathematics and Mechanics. (English Edition) 4 Science in China. Series A 4 European Journal of Applied Mathematics 4 The Annals of Applied Probability 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 4 Bernoulli 4 Séminaire Laurent Schwartz. EDP et Applications 4 Journal of Elliptic and Parabolic Equations ...and 190 more Serials
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### Cited in 47 Fields

 2,235 Partial differential equations (35-XX) 227 Global analysis, analysis on manifolds (58-XX) 161 Differential geometry (53-XX) 134 Ordinary differential equations (34-XX) 98 Operator theory (47-XX) 84 Integral equations (45-XX) 68 Fluid mechanics (76-XX) 67 Numerical analysis (65-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 50 Probability theory and stochastic processes (60-XX) 48 Functional analysis (46-XX) 43 Biology and other natural sciences (92-XX) 41 Potential theory (31-XX) 39 Quantum theory (81-XX) 36 Statistical mechanics, structure of matter (82-XX) 35 Dynamical systems and ergodic theory (37-XX) 32 Statistics (62-XX) 30 Real functions (26-XX) 26 Operations research, mathematical programming (90-XX) 21 Computer science (68-XX) 17 Relativity and gravitational theory (83-XX) 17 Astronomy and astrophysics (85-XX) 14 Classical thermodynamics, heat transfer (80-XX) 12 Mechanics of deformable solids (74-XX) 11 Mechanics of particles and systems (70-XX) 11 Information and communication theory, circuits (94-XX) 9 Functions of a complex variable (30-XX) 9 Optics, electromagnetic theory (78-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geometry (51-XX) 5 Convex and discrete geometry (52-XX) 4 Topological groups, Lie groups (22-XX) 4 Difference and functional equations (39-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)