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Hertling, Peter H.

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 Author ID: hertling.peter-h Published as: Hertling, P.; Hertling, P. H.; Hertling, Peter; Hertling, Peter H.
 Documents Indexed: 48 Publications since 1995, including 3 Books
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Co-Authors

 24 single-authored 7 Calude, Cristian S. 5 Brattka, Vasco 4 Khoussainov, Bakhadyr M. 4 Weihrauch, Klaus 3 Spandl, Christoph 3 Wang, Yongge 2 Selivanov, Viktor L’vovich 1 Bauer, Andrej 1 Blanck, Jens 1 Bosserhoff, Volker 1 Coles, Richard J. 1 Günther, Ulrich 1 Hoffmann, Christoph M. 1 Jürgensen, Helmut 1 Ko, Ker-I 1 Luther, Wolfram Jérôme 1 Nicolescu, Radu 1 Revol, Nathalie 1 Svozil, Karl 1 Titchener, Mark R. 1 Yasugi, Mariko 1 Zhong, Ning
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Serials

 5 Journal of Complexity 5 Journal of Universal Computer Science 4 Theoretical Computer Science 3 Mathematical Logic Quarterly (MLQ) 2 Chaos, Solitons and Fractals 2 Information and Computation 2 Lecture Notes in Computer Science 1 Mathematische Annalen 1 Annales Societatis Mathematicae Polonae. Series IV 1 Annals of Pure and Applied Logic 1 Bulletin of the European Association for Theoretical Computer Science (EATCS) 1 Tatra Mountains Mathematical Publications 1 Reliable Computing 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Fundamenta Informaticae 1 Logical Methods in Computer Science 1 Journal of Logic and Analysis 1 Computability 1 OASIcs – OpenAccess Series in Informatics
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Fields

 27 Computer science (68-XX) 26 Mathematical logic and foundations (03-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 2 Number theory (11-XX) 2 Numerical analysis (65-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH

35 Publications have been cited 240 times in 201 Documents Cited by Year
A tutorial on computable analysis. Zbl 1145.03037
Brattka, Vasco; Hertling, Peter; Weihrauch, Klaus
2008
Recursively enumerable reals and Chaitin $$\Omega$$ numbers. Zbl 0974.68072
Calude, C. S.; Hertling, P. H.; Khoussainov, B.; Wang, Y.
2001
An effective Riemann Mapping Theorem. Zbl 0916.68039
Hertling, Peter
1999
Topological properties of real number representations. Zbl 1039.03036
Brattka, Vasco; Hertling, Peter
2002
Recursively enumerable reals and Chaitin $$\Omega$$ numbers. Zbl 0894.68081
Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr; Wang, Yongge
1998
Topological complexity with continuous operations. Zbl 0862.68060
Hertling, Peter
1996
Random elements in effective topological spaces with measure. Zbl 1055.68059
Hertling, Peter; Weihrauch, Klaus
2003
Feasible real random access machines. Zbl 0913.68099
Brattka, Vasco; Hertling, Peter
1998
A real number structure that is effectively categorical. Zbl 0946.03050
Hertling, Peter
1999
Randomness spaces (extended abstract). Zbl 0914.03054
Hertling, Peter; Weihrauch, Klaus
1998
Is the Mandelbrot set computable? Zbl 1065.03045
Hertling, Peter
2005
Shifts with decidable language and non-computable entropy. Zbl 1204.37013
Hertling, Peter; Spandl, Christoph
2008
Nonlinear Lebesgue and Itô integration problems of high complexity. Zbl 0992.68078
Hertling, Peter
2001
Effectivity and effective continuity of functions between computable metric spaces. Zbl 0911.03020
Hertling, Peter
1997
A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1068.03055
Hertling, Peter
2005
Degree-theoretic aspects of computably enumerable reals. Zbl 0944.03032
Calude, Cristian S.; Coles, Richard; Hertling, Peter H.; Khoussainov, Bakhadyr
1999
Disjunctive $$\omega$$-words and real numbers. Zbl 0955.68065
Hertling, Peter
1998
Computability theoretic properties of the entropy of gap shifts. Zbl 1141.03022
Hertling, Peter; Spandl, Christoph
2008
Simply normal numbers to different bases. Zbl 1257.03073
Hertling, Peter
2002
Banach-Mazur computable functions on metric spaces. Zbl 0985.03055
Hertling, Peter
2001
Computable approximations of reals: An information-theoretic analysis. Zbl 0902.68066
Calude, Cristian S.; Hertling, Peter H.
1998
Surjective functions on computably growing Cantor sets. Zbl 0960.68072
Hertling, Peter
1997
Kochen-Specker theorem: two geometric proofs. Zbl 1088.81504
Calude, Cristian S.; Hertling, Peter H.; Svozil, Karl
1998
Invariance properties of random sequences. Zbl 0969.60002
Hertling, Peter; Wang, Yongge
1997
Complexity issues for preorders on finite labeled forests. Zbl 1344.03036
Hertling, Peter; Selivanov, Victor
2014
Computing a solution of Feigenbaum’s functional equation in polynomial time. Zbl 1448.03035
Hertling, Peter; Spandl, Christoph
2014
Complexity issues for preorders on finite labeled forests. Zbl 1344.68096
Hertling, Peter; Selivanov, Victor
2011
6th international conference on computability and complexity in analysis (CCA’09). Proceedings of the international conference, August 18–22, 2009, Ljubljana, Slovenia. Zbl 1247.68008
Bauer, Andrej (ed.); Hertling, Peter (ed.); Ko, Ker-I (ed.)
2009
A sequentially computable function that is not effectively continuous at any point. Zbl 1111.03051
Hertling, Peter
2006
A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1057.03054
Hertling, Peter
2002
Topological complexity of zero finding with algebraic operations. Zbl 1030.68049
Hertling, Peter
2002
A lower bound for range enclosure in interval arithmetic. Zbl 1002.68003
Hertling, Peter
2002
Randomness on full shift spaces. Zbl 1064.68064
Calude, Cristian S.; Hertling, Peter H.; Jürgensen, Helmut; Weihrauch, Klaus
2001
Computability and complexity in analysis. 4th international workshop, CCA 2000. Swansea, GB, September 17–19, 2000. Selected papers. Zbl 0967.00056
Blanck, Jens (ed.); Brattka, Vasco (ed.); Hertling, Peter (ed.)
2001
Do the zeros of Riemann’s zeta-function form a random sequence? Zbl 0922.11073
Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr
1997
Complexity issues for preorders on finite labeled forests. Zbl 1344.03036
Hertling, Peter; Selivanov, Victor
2014
Computing a solution of Feigenbaum’s functional equation in polynomial time. Zbl 1448.03035
Hertling, Peter; Spandl, Christoph
2014
Complexity issues for preorders on finite labeled forests. Zbl 1344.68096
Hertling, Peter; Selivanov, Victor
2011
6th international conference on computability and complexity in analysis (CCA’09). Proceedings of the international conference, August 18–22, 2009, Ljubljana, Slovenia. Zbl 1247.68008
Bauer, Andrej (ed.); Hertling, Peter (ed.); Ko, Ker-I (ed.)
2009
A tutorial on computable analysis. Zbl 1145.03037
Brattka, Vasco; Hertling, Peter; Weihrauch, Klaus
2008
Shifts with decidable language and non-computable entropy. Zbl 1204.37013
Hertling, Peter; Spandl, Christoph
2008
Computability theoretic properties of the entropy of gap shifts. Zbl 1141.03022
Hertling, Peter; Spandl, Christoph
2008
A sequentially computable function that is not effectively continuous at any point. Zbl 1111.03051
Hertling, Peter
2006
Is the Mandelbrot set computable? Zbl 1065.03045
Hertling, Peter
2005
A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1068.03055
Hertling, Peter
2005
Random elements in effective topological spaces with measure. Zbl 1055.68059
Hertling, Peter; Weihrauch, Klaus
2003
Topological properties of real number representations. Zbl 1039.03036
Brattka, Vasco; Hertling, Peter
2002
Simply normal numbers to different bases. Zbl 1257.03073
Hertling, Peter
2002
A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1057.03054
Hertling, Peter
2002
Topological complexity of zero finding with algebraic operations. Zbl 1030.68049
Hertling, Peter
2002
A lower bound for range enclosure in interval arithmetic. Zbl 1002.68003
Hertling, Peter
2002
Recursively enumerable reals and Chaitin $$\Omega$$ numbers. Zbl 0974.68072
Calude, C. S.; Hertling, P. H.; Khoussainov, B.; Wang, Y.
2001
Nonlinear Lebesgue and Itô integration problems of high complexity. Zbl 0992.68078
Hertling, Peter
2001
Banach-Mazur computable functions on metric spaces. Zbl 0985.03055
Hertling, Peter
2001
Randomness on full shift spaces. Zbl 1064.68064
Calude, Cristian S.; Hertling, Peter H.; Jürgensen, Helmut; Weihrauch, Klaus
2001
Computability and complexity in analysis. 4th international workshop, CCA 2000. Swansea, GB, September 17–19, 2000. Selected papers. Zbl 0967.00056
Blanck, Jens (ed.); Brattka, Vasco (ed.); Hertling, Peter (ed.)
2001
An effective Riemann Mapping Theorem. Zbl 0916.68039
Hertling, Peter
1999
A real number structure that is effectively categorical. Zbl 0946.03050
Hertling, Peter
1999
Degree-theoretic aspects of computably enumerable reals. Zbl 0944.03032
Calude, Cristian S.; Coles, Richard; Hertling, Peter H.; Khoussainov, Bakhadyr
1999
Recursively enumerable reals and Chaitin $$\Omega$$ numbers. Zbl 0894.68081
Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr; Wang, Yongge
1998
Feasible real random access machines. Zbl 0913.68099
Brattka, Vasco; Hertling, Peter
1998
Randomness spaces (extended abstract). Zbl 0914.03054
Hertling, Peter; Weihrauch, Klaus
1998
Disjunctive $$\omega$$-words and real numbers. Zbl 0955.68065
Hertling, Peter
1998
Computable approximations of reals: An information-theoretic analysis. Zbl 0902.68066
Calude, Cristian S.; Hertling, Peter H.
1998
Kochen-Specker theorem: two geometric proofs. Zbl 1088.81504
Calude, Cristian S.; Hertling, Peter H.; Svozil, Karl
1998
Effectivity and effective continuity of functions between computable metric spaces. Zbl 0911.03020
Hertling, Peter
1997
Surjective functions on computably growing Cantor sets. Zbl 0960.68072
Hertling, Peter
1997
Invariance properties of random sequences. Zbl 0969.60002
Hertling, Peter; Wang, Yongge
1997
Do the zeros of Riemann’s zeta-function form a random sequence? Zbl 0922.11073
Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr
1997
Topological complexity with continuous operations. Zbl 0862.68060
Hertling, Peter
1996
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Cited by 196 Authors

 14 Calude, Cristian S. 12 Brattka, Vasco 10 Barmpalias, George 9 Downey, Rodney Graham 9 Hertling, Peter H. 9 Weihrauch, Klaus 8 Nies, André Otfrid 8 Rojas, Cristobal 7 Zheng, Xizhong 6 Hoyrup, Mathieu 6 Ziegler, Martin 5 Becher, Verónica 5 Lewis-Pye, Andrew E. M. 5 McNicholl, Timothy H. 5 Miyabe, Kenshi 5 Selivanov, Viktor L’vovich 5 Stephan, Frank 4 Graça, Daniel Silva 4 Grigorieff, Serge 4 Hirschfeldt, Denis Roman 4 Melnikov, Alexander G. 4 Miller, Joseph S. 4 Staiger, Ludwig 4 Tadaki, Kohtaro 4 Yampolsky, Michael 3 Bienvenu, Laurent 3 Binder, Ilia A. 3 Figueira, Santiago 3 Hemmerling, Armin 3 Kihara, Takayuki 3 Pauly, Arno M. 3 Rettinger, Robert 3 Rute, Jason 3 Shen, Alexander 3 Simonsen, Jakob Grue 3 Tsuiki, Hideki 3 Tucker, John V. 3 Zhong, Ning 2 Andreev, Valentin V. 2 Axon, Logan M. 2 Bailey, David Harold 2 Blanck, Jens 2 Borwein, Jonathan Michael 2 Burr, Michael A. 2 Ding, Decheng 2 Dinneen, Michael J. 2 Galatolo, Stefano 2 Gangloff, Silvère 2 Gherardi, Guido 2 Heinrich, Stefan 2 Hölzl, Rupert 2 Iljazović, Zvonko 2 Kawamura, Akitoshi 2 LaForte, Geoff 2 Lutz, Jack H. 2 Müller, Norbert Th. 2 Pouly, Amaury 2 Przybyłowicz, Paweł 2 Schröder, Matthias 2 Spandl, Christoph 2 Spreen, Dieter 2 Stoltenberg-Hansen, Viggo 2 Wolf, Christian 2 Woźniakowski, Henryk 2 Zucker, Jeffery I. 1 Airey, Dylan 1 Alefeld, Götz E. 1 Ambos-Spies, Klaus 1 Anberrée, Thomas 1 Aragón Artacho, Francisco Javier 1 Bao, Kejin 1 Bishop, Christopher James 1 Blanchard, François 1 Boldi, Paolo 1 Borwein, Peter Benjamin 1 Bosserhoff, Volker 1 Bournez, Olivier 1 Braverman, Mark 1 Buescu, Jorge 1 Bugeaud, Yann 1 Buhagiar, David 1 Campagnolo, Manuel Lameiras 1 Cenzer, Douglas 1 Cervelle, Julien 1 Chetcuti, Emmanuel 1 Collins, Peter J. 1 Cooper, Stuart Barry 1 Coronel, Daniel 1 Daniel, Dale 1 Daun, Thomas 1 Day, Adam R. 1 De Brecht, Matthew 1 Desfontaines, Damien 1 Dowe, David L. 1 Du, Ding-Zhu 1 Dudko, Artem 1 Dvurečenskij, Anatolij 1 Edalat, Abbas 1 Fang, Nan 1 Férée, Hugo ...and 96 more Authors
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Cited in 52 Serials

 37 Theoretical Computer Science 15 Journal of Complexity 13 Theory of Computing Systems 10 Annals of Pure and Applied Logic 9 Information and Computation 6 Journal of Computer and System Sciences 6 MSCS. Mathematical Structures in Computer Science 6 Mathematical Logic Quarterly (MLQ) 4 The Journal of Symbolic Logic 4 Logical Methods in Computer Science 3 Applied Mathematics and Computation 3 Proceedings of the American Mathematical Society 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Transactions of the American Mathematical Society 2 Archive for Mathematical Logic 2 Discrete and Continuous Dynamical Systems 2 RAIRO. Theoretical Informatics and Applications 2 Journal of Mathematical Logic 2 Foundations of Physics 2 Computability 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Notre Dame Journal of Formal Logic 1 Ergodic Theory and Dynamical Systems 1 Discrete & Computational Geometry 1 Journal of Automated Reasoning 1 Sugaku Expositions 1 Numerical Algorithms 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 Potential Analysis 1 The Bulletin of Symbolic Logic 1 Reliable Computing 1 The Ramanujan Journal 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 LMS Journal of Computation and Mathematics 1 The Journal of Logic and Algebraic Programming 1 Acta Universitatis Sapientiae. Mathematica 1 Journal of Logical and Algebraic Methods in Programming
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Cited in 30 Fields

 140 Mathematical logic and foundations (03-XX) 95 Computer science (68-XX) 18 Dynamical systems and ergodic theory (37-XX) 14 Functions of a complex variable (30-XX) 14 Numerical analysis (65-XX) 13 General topology (54-XX) 8 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 7 Number theory (11-XX) 3 Combinatorics (05-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)