Edit Profile Hertling, Peter H. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 35 Publications have been cited 240 times in 201 Documents Cited by ▼ Year ▼ A tutorial on computable analysis. Zbl 1145.03037Brattka, Vasco; Hertling, Peter; Weihrauch, Klaus 30 2008 Recursively enumerable reals and Chaitin \(\Omega\) numbers. Zbl 0974.68072Calude, C. S.; Hertling, P. H.; Khoussainov, B.; Wang, Y. 29 2001 An effective Riemann Mapping Theorem. Zbl 0916.68039Hertling, Peter 21 1999 Topological properties of real number representations. Zbl 1039.03036Brattka, Vasco; Hertling, Peter 17 2002 Recursively enumerable reals and Chaitin \(\Omega\) numbers. Zbl 0894.68081Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr; Wang, Yongge 17 1998 Topological complexity with continuous operations. Zbl 0862.68060Hertling, Peter 14 1996 Random elements in effective topological spaces with measure. Zbl 1055.68059Hertling, Peter; Weihrauch, Klaus 12 2003 Feasible real random access machines. Zbl 0913.68099Brattka, Vasco; Hertling, Peter 12 1998 A real number structure that is effectively categorical. Zbl 0946.03050Hertling, Peter 9 1999 Randomness spaces (extended abstract). Zbl 0914.03054Hertling, Peter; Weihrauch, Klaus 9 1998 Is the Mandelbrot set computable? Zbl 1065.03045Hertling, Peter 8 2005 Shifts with decidable language and non-computable entropy. Zbl 1204.37013Hertling, Peter; Spandl, Christoph 6 2008 Nonlinear Lebesgue and Itô integration problems of high complexity. Zbl 0992.68078Hertling, Peter 6 2001 Effectivity and effective continuity of functions between computable metric spaces. Zbl 0911.03020Hertling, Peter 6 1997 A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1068.03055Hertling, Peter 5 2005 Degree-theoretic aspects of computably enumerable reals. Zbl 0944.03032Calude, Cristian S.; Coles, Richard; Hertling, Peter H.; Khoussainov, Bakhadyr 5 1999 Disjunctive \(\omega\)-words and real numbers. Zbl 0955.68065Hertling, Peter 4 1998 Computability theoretic properties of the entropy of gap shifts. Zbl 1141.03022Hertling, Peter; Spandl, Christoph 3 2008 Simply normal numbers to different bases. Zbl 1257.03073Hertling, Peter 3 2002 Banach-Mazur computable functions on metric spaces. Zbl 0985.03055Hertling, Peter 3 2001 Computable approximations of reals: An information-theoretic analysis. Zbl 0902.68066Calude, Cristian S.; Hertling, Peter H. 3 1998 Surjective functions on computably growing Cantor sets. Zbl 0960.68072Hertling, Peter 3 1997 Kochen-Specker theorem: two geometric proofs. Zbl 1088.81504Calude, Cristian S.; Hertling, Peter H.; Svozil, Karl 2 1998 Invariance properties of random sequences. Zbl 0969.60002Hertling, Peter; Wang, Yongge 2 1997 Complexity issues for preorders on finite labeled forests. Zbl 1344.03036Hertling, Peter; Selivanov, Victor 1 2014 Computing a solution of Feigenbaum’s functional equation in polynomial time. Zbl 1448.03035Hertling, Peter; Spandl, Christoph 1 2014 Complexity issues for preorders on finite labeled forests. Zbl 1344.68096Hertling, Peter; Selivanov, Victor 1 2011 6th international conference on computability and complexity in analysis (CCA’09). Proceedings of the international conference, August 18–22, 2009, Ljubljana, Slovenia. Zbl 1247.68008Bauer, Andrej (ed.); Hertling, Peter (ed.); Ko, Ker-I (ed.) 1 2009 A sequentially computable function that is not effectively continuous at any point. Zbl 1111.03051Hertling, Peter 1 2006 A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1057.03054Hertling, Peter 1 2002 Topological complexity of zero finding with algebraic operations. Zbl 1030.68049Hertling, Peter 1 2002 A lower bound for range enclosure in interval arithmetic. Zbl 1002.68003Hertling, Peter 1 2002 Randomness on full shift spaces. Zbl 1064.68064Calude, Cristian S.; Hertling, Peter H.; Jürgensen, Helmut; Weihrauch, Klaus 1 2001 Computability and complexity in analysis. 4th international workshop, CCA 2000. Swansea, GB, September 17–19, 2000. Selected papers. Zbl 0967.00056Blanck, Jens (ed.); Brattka, Vasco (ed.); Hertling, Peter (ed.) 1 2001 Do the zeros of Riemann’s zeta-function form a random sequence? Zbl 0922.11073Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr 1 1997 Complexity issues for preorders on finite labeled forests. Zbl 1344.03036Hertling, Peter; Selivanov, Victor 1 2014 Computing a solution of Feigenbaum’s functional equation in polynomial time. Zbl 1448.03035Hertling, Peter; Spandl, Christoph 1 2014 Complexity issues for preorders on finite labeled forests. Zbl 1344.68096Hertling, Peter; Selivanov, Victor 1 2011 6th international conference on computability and complexity in analysis (CCA’09). Proceedings of the international conference, August 18–22, 2009, Ljubljana, Slovenia. Zbl 1247.68008Bauer, Andrej (ed.); Hertling, Peter (ed.); Ko, Ker-I (ed.) 1 2009 A tutorial on computable analysis. Zbl 1145.03037Brattka, Vasco; Hertling, Peter; Weihrauch, Klaus 30 2008 Shifts with decidable language and non-computable entropy. Zbl 1204.37013Hertling, Peter; Spandl, Christoph 6 2008 Computability theoretic properties of the entropy of gap shifts. Zbl 1141.03022Hertling, Peter; Spandl, Christoph 3 2008 A sequentially computable function that is not effectively continuous at any point. Zbl 1111.03051Hertling, Peter 1 2006 Is the Mandelbrot set computable? Zbl 1065.03045Hertling, Peter 8 2005 A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1068.03055Hertling, Peter 5 2005 Random elements in effective topological spaces with measure. Zbl 1055.68059Hertling, Peter; Weihrauch, Klaus 12 2003 Topological properties of real number representations. Zbl 1039.03036Brattka, Vasco; Hertling, Peter 17 2002 Simply normal numbers to different bases. Zbl 1257.03073Hertling, Peter 3 2002 A Banach-Mazur computable but not Markov computable function on the computable real numbers. Zbl 1057.03054Hertling, Peter 1 2002 Topological complexity of zero finding with algebraic operations. Zbl 1030.68049Hertling, Peter 1 2002 A lower bound for range enclosure in interval arithmetic. Zbl 1002.68003Hertling, Peter 1 2002 Recursively enumerable reals and Chaitin \(\Omega\) numbers. Zbl 0974.68072Calude, C. S.; Hertling, P. H.; Khoussainov, B.; Wang, Y. 29 2001 Nonlinear Lebesgue and Itô integration problems of high complexity. Zbl 0992.68078Hertling, Peter 6 2001 Banach-Mazur computable functions on metric spaces. Zbl 0985.03055Hertling, Peter 3 2001 Randomness on full shift spaces. Zbl 1064.68064Calude, Cristian S.; Hertling, Peter H.; Jürgensen, Helmut; Weihrauch, Klaus 1 2001 Computability and complexity in analysis. 4th international workshop, CCA 2000. Swansea, GB, September 17–19, 2000. Selected papers. Zbl 0967.00056Blanck, Jens (ed.); Brattka, Vasco (ed.); Hertling, Peter (ed.) 1 2001 An effective Riemann Mapping Theorem. Zbl 0916.68039Hertling, Peter 21 1999 A real number structure that is effectively categorical. Zbl 0946.03050Hertling, Peter 9 1999 Degree-theoretic aspects of computably enumerable reals. Zbl 0944.03032Calude, Cristian S.; Coles, Richard; Hertling, Peter H.; Khoussainov, Bakhadyr 5 1999 Recursively enumerable reals and Chaitin \(\Omega\) numbers. Zbl 0894.68081Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr; Wang, Yongge 17 1998 Feasible real random access machines. Zbl 0913.68099Brattka, Vasco; Hertling, Peter 12 1998 Randomness spaces (extended abstract). Zbl 0914.03054Hertling, Peter; Weihrauch, Klaus 9 1998 Disjunctive \(\omega\)-words and real numbers. Zbl 0955.68065Hertling, Peter 4 1998 Computable approximations of reals: An information-theoretic analysis. Zbl 0902.68066Calude, Cristian S.; Hertling, Peter H. 3 1998 Kochen-Specker theorem: two geometric proofs. Zbl 1088.81504Calude, Cristian S.; Hertling, Peter H.; Svozil, Karl 2 1998 Effectivity and effective continuity of functions between computable metric spaces. Zbl 0911.03020Hertling, Peter 6 1997 Surjective functions on computably growing Cantor sets. Zbl 0960.68072Hertling, Peter 3 1997 Invariance properties of random sequences. Zbl 0969.60002Hertling, Peter; Wang, Yongge 2 1997 Do the zeros of Riemann’s zeta-function form a random sequence? Zbl 0922.11073Calude, Cristian S.; Hertling, Peter H.; Khoussainov, Bakhadyr 1 1997 Topological complexity with continuous operations. Zbl 0862.68060Hertling, Peter 14 1996 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year