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## Shapiro, Michael D.

Compute Distance To:
 Author ID: shapiro.michael-d Published as: Shapiro, Michael; Shapiro, M.; Shapiro, MichaeL External Links: MGP
 Documents Indexed: 38 Publications since 1989, including 2 Books
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#### Co-Authors

 7 single-authored 6 Neumann, Walter David 4 Short, Hamish 3 Baumslag, Gilbert 2 Davis, Michael W. 2 Delgado-Eckert, Edgar 2 Duchin, Moon 2 Floyd, William J. 2 Gersten, Stephen M. 2 Kay, Leslie D. 2 Miller, Charles Frederick III 2 Stein, Melanie I. 1 Alonso, Juan Miguel 1 Burman, Yurii 1 Cartwright, Donald I. 1 Charney, Ruth M. 1 Cooper, Daryl 1 Cossey, John 1 Dykman, Mark I. 1 Ferlini, Vincent 1 Goodman, Oliver A. 1 Hermiller, Susan M. 1 Holt, Derek F. 1 Izrailev, Felix M. 1 Liang, Hao 1 Lustig, Martin 1 Mihalik, Michael L. 1 Ovsienko, Valentin Yu. 1 Paspalakis, Emmanuel 1 Rees, Sarah 1 Sánchez, Ayla P. 1 Thanopulos, Ioannis 1 Yuditskii, Peter Meerovich
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#### Serials

 6 International Journal of Algebra and Computation 5 Geometriae Dedicata 2 Bulletin of Mathematical Biology 2 Journal of Pure and Applied Algebra 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 The Electronic Journal of Combinatorics 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Journal of Modern Optics 1 Ohio State University Mathematical Research Institute Publications 1 Electronic Research Announcements in Mathematical Sciences 1 Quantum Information & Computation
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#### Fields

 26 Group theory and generalizations (20-XX) 10 Computer science (68-XX) 8 Manifolds and cell complexes (57-XX) 5 Combinatorics (05-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 279 times in 230 Documents Cited by Year
Notes on word hyperbolic groups. Zbl 0849.20023
Alonso, J. M.; Brady, T.; Cooper, D.; Ferlini, V.; Lustig, M.; Mihalik, M.; Shapiro, M.; Short, H.
1991
Automatic groups and amalgams. Zbl 0749.20006
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
1991
Automatic structures, rational growth, and geometrically finite hyperbolic groups. Zbl 0831.20041
Neumann, Walter D.; Shapiro, Michael
1995
A geometric approach to the almost convexity and growth of some nilpotent groups. Zbl 0693.20037
Shapiro, Michael
1989
Coxeter groups are almost convex. Zbl 0794.20051
Davis, Michael W.; Shapiro, Michael
1991
A note on context-sensitive languages and word problems. Zbl 0832.20052
Shapiro, Michael
1994
Equations in nilpotent groups. Zbl 1330.20047
Duchin, Moon; Liang, Hao; Shapiro, Michael
2015
Equivalent automatic structures and their boundaries. Zbl 0767.20013
Neumann, Walter D.; Shapiro, Michael
1992
Almost convex groups and the eight geometries. Zbl 0835.20049
Shapiro, Michael; Stein, Melanie
1995
Solvable Baumslag-Solitar groups are not almost convex. Zbl 1036.20034
Miller, Charles F. III; Shapiro, Michael
1998
On a generalization of Dehn’s algorithm. Zbl 1227.20033
Goodman, Oliver; Shapiro, Michael
2008
Automatic groups and amalgams – a survey. Zbl 0749.20017
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
1992
Rewriting systems and geometric three-manifolds. Zbl 0930.68070
Hermiller, Susan; Shapiro, Michael
1999
Finding the probability of infection in an SIR network is NP-hard. Zbl 1316.92093
2012
Cluster algebras with Grassmann variables. Zbl 1442.13081
Ovsienko, Valentin; Shapiro, MichaeL
2019
Deterministic and non-deterministic asynchronous automatic structures. Zbl 0765.20014
Shapiro, Michael
1992
Automatic structures and boundaries for graphs of groups. Zbl 0832.20051
Neumann, Walter D.; Shapiro, Michael
1994
Hyperbolic buildings, affine buildings, and automatic groups. Zbl 0852.51010
Cartwright, Donald I.; Shapiro, Michael
1995
The Heisenberg group is pan-rational. Zbl 07035899
Duchin, Moon; Shapiro, Michael
2019
Some elementary properties of SIR networks or, Can I get sick because you got vaccinated? Zbl 1142.92037
Floyd, William; Kay, Leslie; Shapiro, Michael
2008
Parallel poly-pushdown groups. Zbl 0937.20020
Baumslag, Gilbert; Shapiro, Michael; Short, Hamish
1999
Automatic structure and graphs of groups. Zbl 0798.20020
Shapiro, Michael
1992
Regular geodesic normal forms in virtually Abelian groups. Zbl 0887.20015
Neumann, Walter D.; Shapiro, Michael
1997
Pascal’s triangles in abelian and hyperbolic groups. Zbl 0893.20028
Shapiro, Michael
1997
Growth of a $$\text{PSL}_ 2 \mathbb{R}$$ manifold group. Zbl 0863.57012
Shapiro, Michael
1994
Growth in higher Baumslag-Solitar groups. Zbl 06924043
Sánchez, Ayla P.; Shapiro, Michael
2018
Groups that do and do not have growing context-sensitive word problem. Zbl 1177.20044
Holt, Derek F.; Rees, Sarah; Shapiro, Michael
2008
On-site localization of excitations. Zbl 1213.81069
Dykman, M. I.; Santos, L. F.; Shapiro, M.; Izrailev, F. M.
2005
A covering-graph approach to epidemics on SIS and SIS-like networks. Zbl 1238.92040
Floyd, William; Kay, Leslie; Shapiro, Michael
2012
Geometric group theory. Proceedings of a special research quarter at The Ohio State University, Columbus, OH, USA., spring 1992. Zbl 0829.00019
Charney, Ruth (ed.); Davis, Michael (ed.); Shapiro, Michael (ed.)
1995
Cluster algebras with Grassmann variables. Zbl 1442.13081
Ovsienko, Valentin; Shapiro, MichaeL
2019
The Heisenberg group is pan-rational. Zbl 07035899
Duchin, Moon; Shapiro, Michael
2019
Growth in higher Baumslag-Solitar groups. Zbl 06924043
Sánchez, Ayla P.; Shapiro, Michael
2018
Equations in nilpotent groups. Zbl 1330.20047
Duchin, Moon; Liang, Hao; Shapiro, Michael
2015
Finding the probability of infection in an SIR network is NP-hard. Zbl 1316.92093
2012
A covering-graph approach to epidemics on SIS and SIS-like networks. Zbl 1238.92040
Floyd, William; Kay, Leslie; Shapiro, Michael
2012
On a generalization of Dehn’s algorithm. Zbl 1227.20033
Goodman, Oliver; Shapiro, Michael
2008
Some elementary properties of SIR networks or, Can I get sick because you got vaccinated? Zbl 1142.92037
Floyd, William; Kay, Leslie; Shapiro, Michael
2008
Groups that do and do not have growing context-sensitive word problem. Zbl 1177.20044
Holt, Derek F.; Rees, Sarah; Shapiro, Michael
2008
On-site localization of excitations. Zbl 1213.81069
Dykman, M. I.; Santos, L. F.; Shapiro, M.; Izrailev, F. M.
2005
Rewriting systems and geometric three-manifolds. Zbl 0930.68070
Hermiller, Susan; Shapiro, Michael
1999
Parallel poly-pushdown groups. Zbl 0937.20020
Baumslag, Gilbert; Shapiro, Michael; Short, Hamish
1999
Solvable Baumslag-Solitar groups are not almost convex. Zbl 1036.20034
Miller, Charles F. III; Shapiro, Michael
1998
Regular geodesic normal forms in virtually Abelian groups. Zbl 0887.20015
Neumann, Walter D.; Shapiro, Michael
1997
Pascal’s triangles in abelian and hyperbolic groups. Zbl 0893.20028
Shapiro, Michael
1997
Automatic structures, rational growth, and geometrically finite hyperbolic groups. Zbl 0831.20041
Neumann, Walter D.; Shapiro, Michael
1995
Almost convex groups and the eight geometries. Zbl 0835.20049
Shapiro, Michael; Stein, Melanie
1995
Hyperbolic buildings, affine buildings, and automatic groups. Zbl 0852.51010
Cartwright, Donald I.; Shapiro, Michael
1995
Geometric group theory. Proceedings of a special research quarter at The Ohio State University, Columbus, OH, USA., spring 1992. Zbl 0829.00019
Charney, Ruth; Davis, Michael; Shapiro, Michael
1995
A note on context-sensitive languages and word problems. Zbl 0832.20052
Shapiro, Michael
1994
Automatic structures and boundaries for graphs of groups. Zbl 0832.20051
Neumann, Walter D.; Shapiro, Michael
1994
Growth of a $$\text{PSL}_ 2 \mathbb{R}$$ manifold group. Zbl 0863.57012
Shapiro, Michael
1994
Equivalent automatic structures and their boundaries. Zbl 0767.20013
Neumann, Walter D.; Shapiro, Michael
1992
Automatic groups and amalgams – a survey. Zbl 0749.20017
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
1992
Deterministic and non-deterministic asynchronous automatic structures. Zbl 0765.20014
Shapiro, Michael
1992
Automatic structure and graphs of groups. Zbl 0798.20020
Shapiro, Michael
1992
Notes on word hyperbolic groups. Zbl 0849.20023
Alonso, J. M.; Brady, T.; Cooper, D.; Ferlini, V.; Lustig, M.; Mihalik, M.; Shapiro, M.; Short, H.
1991
Automatic groups and amalgams. Zbl 0749.20006
Baumslag, G.; Gersten, S. M.; Shapiro, M.; Short, H.
1991
Coxeter groups are almost convex. Zbl 0794.20051
Davis, Michael W.; Shapiro, Michael
1991
A geometric approach to the almost convexity and growth of some nilpotent groups. Zbl 0693.20037
Shapiro, Michael
1989
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#### Cited by 258 Authors

 14 Myasnikov, Alexei G. 11 Holt, Derek F. 11 Kapovich, Ilya 11 Rodríguez García, José Manuel 9 Hermiller, Susan M. 9 Shapiro, Michael D. 7 Elder, Murray J. 7 Rees, Sarah 6 Bridson, Martin R. 5 Carballosa, Walter 5 Dragan, Feodor F. 5 Minasyan, Ashot 5 Noskov, Guennadi A. 5 Pestana, Domingo 5 Taback, Jennifer 5 Thomas, Richard M. 5 Wise, Daniel T. 4 Ciobanu, Laura 4 Gersten, Stephen M. 4 Kharlampovich, Olga G. 4 Ovchinnikov, Denis 4 Short, Hamish 4 Sigarreta Almira, José María 4 Zalesskii, Pavel 3 Brittenham, Mark 3 Chepoi, Victor D. 3 Cleary, Sean 3 De La Cruz, Amauris 3 Garreta, Albert 3 Granados, Ana 3 Hamann, Matthias 3 Hensel, Sebastian Wolfgang 3 Neumann, Walter David 3 Ruškuc, Nik 3 Schupp, Paul E. 3 Stein, Melanie I. 3 Swenson, Eric L. 3 Touikan, Nicholas W. M. 3 Vaxès, Yann 3 Weidmann, Richard 2 Antolín, Yago 2 Baumslag, Gilbert 2 Bell, Jason P. 2 Borovik, Alexandre V. 2 Brick, Stephen G. 2 Cain, Alan J. 2 Cantón, Alicia 2 Corran, Ruth 2 Corson, Jon Michael 2 Dahmani, François 2 Descalço, L. 2 Ducoffe, Guillaume 2 Georgakopoulos, Agelos 2 Gray, Robert D. 2 Habib, Michel A. 2 Hernández, Verónica 2 Hruska, G. Christopher 2 Khoussainov, Bakhadyr M. 2 Lang, Urs 2 Lee, Eonkyung 2 Lee, Sangjin 2 Levitt, Gilbert 2 Lohrey, Markus 2 Lustig, Martin 2 Malyutin, Andrei Valer’evich 2 Meier, John 2 Mihalik, Michael L. 2 Mj, Mahan 2 Mramor, Blaz 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Pal, Abhijit 2 Pride, Stephen J. 2 Przytycki, Piotr 2 Remeslennikov, Vladimir Nikanorovich 2 Reyes, Rosalío 2 Robertson, Edmund Frederick 2 Sapir, Mark Valentinovich 2 Serbin, Denis E. 2 Shpilrain, Vladimir 2 Solie, Brent B. 2 Susse, Tim 2 Tessera, Romain 2 Vershik, Anatoliĭ Moiseevich 2 Webb, Richard C. H. 2 Xiang, Yang 1 Adams, Jared 1 Adcock, Aaron B. 1 Alibegović, Emina 1 Alrasheed, Hend 1 Altobelli, Joseph A. 1 Batty, Michael 1 Belolipetsky, Mikhail V. 1 Benakli, Nadia 1 Berdinskiĭ, Dmitriĭ Aleksandrovich 1 Bishop-Ross, Rachel 1 Bishop, Alex 1 Bowden, Jonathan Peter 1 Bowen, Lewis Phylip 1 Bowers, Philip L. 1 Brazil, Marcus N. ...and 158 more Authors
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#### Cited in 82 Serials

 27 International Journal of Algebra and Computation 23 Journal of Algebra 13 Transactions of the American Mathematical Society 10 Journal of Pure and Applied Algebra 9 Geometriae Dedicata 9 Groups, Geometry, and Dynamics 7 Inventiones Mathematicae 6 Theoretical Computer Science 6 Geometry & Topology 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Communications in Algebra 4 Israel Journal of Mathematics 4 Journal of Group Theory 4 Groups, Complexity, Cryptology 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Advances in Mathematics 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Topology and its Applications 3 Geometric and Functional Analysis. GAFA 3 Journal of Mathematical Sciences (New York) 3 Algebraic & Geometric Topology 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Mathematics of Computation 2 Algebra and Logic 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Semigroup Forum 2 Algorithmica 2 Journal of the American Mathematical Society 2 Journal of the Institute of Mathematics of Jussieu 2 Symmetry 1 Discrete Applied Mathematics 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Computer and System Sciences 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Siberian Mathematical Journal 1 European Journal of Combinatorics 1 Combinatorica 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 Information and Computation 1 International Journal of Foundations of Computer Science 1 IMRN. International Mathematics Research Notices 1 Aequationes Mathematicae 1 International Journal of Computer Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Calculus of Variations and Partial Differential Equations 1 Annales Mathématiques Blaise Pascal 1 The Electronic Journal of Combinatorics 1 Journal of Graph Algorithms and Applications 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 Algebra and Discrete Mathematics 1 Internet Mathematics 1 Mathematics in Computer Science 1 Journal of Topology 1 Journal of Topology and Analysis 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Journal of Combinatorial Algebra
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#### Cited in 25 Fields

 191 Group theory and generalizations (20-XX) 58 Manifolds and cell complexes (57-XX) 54 Computer science (68-XX) 42 Combinatorics (05-XX) 20 Differential geometry (53-XX) 8 Mathematical logic and foundations (03-XX) 8 Functions of a complex variable (30-XX) 5 Topological groups, Lie groups (22-XX) 4 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)