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## Kahle, Matthew

Compute Distance To:
 Author ID: kahle.matthew Published as: Kahle, Matthew External Links: MGP
 Documents Indexed: 25 Publications since 2000
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#### Co-Authors

 9 single-authored 2 Bobrowski, Omer 2 Dotterrer, Dominic 2 Hoffman, Christopher 2 Martinez-Figueroa, Francisco 2 Meckes, Elizabeth S. 1 Babson, Eric K. 1 Baryshnikov, Yuliy M. 1 Bubenik, Peter 1 Davis, Michael W. 1 Guth, Lawrence David 1 Lutz, Frank Hagen 1 Newman, Andrew F. 1 Paquette, Elliot 1 Parsons, Kyle 1 Pittel, Boris G. 1 Roldán, Érika 1 Skraba, Primoz 1 Soifer, Alexander 1 Taha, Birra
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#### Serials

 6 Geombinatorics 3 Discrete & Computational Geometry 2 Random Structures & Algorithms 2 Homology, Homotopy and Applications 1 Discrete Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 IMRN. International Mathematics Research Notices 1 Experimental Mathematics 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Journal of Topology 1 Journal of Topology and Analysis 1 Journal of Applied and Computational Topology
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#### Fields

 22 Combinatorics (05-XX) 7 Algebraic topology (55-XX) 6 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 269 times in 151 Documents Cited by Year
Topology of random clique complexes. Zbl 1215.05163
Kahle, Matthew
2009
Random geometric complexes. Zbl 1219.05175
Kahle, Matthew
2011
The fundamental group of random 2-complexes. Zbl 1270.20042
Babson, Eric; Hoffman, Christopher; Kahle, Matthew
2011
Limit theorems for Betti numbers of random simplicial complexes. Zbl 1268.05180
Kahle, Matthew; Meckes, Elizabeth
2013
Topology of random simplical complexes: a survey. Zbl 1333.05324
Kahle, Matthew
2014
Topology of random geometric complexes: a survey. Zbl 1402.60015
Bobrowski, Omer; Kahle, Matthew
2018
Maximally persistent cycles in random geometric complexes. Zbl 1377.60024
Bobrowski, Omer; Kahle, Matthew; Skraba, Primoz
2017
Coboundary expanders. Zbl 1259.05151
Dotterrer, Dominic; Kahle, Matthew
2012
Sharp vanishing thresholds for cohomology of random flag complexes. Zbl 1294.05195
Kahle, Matthew
2014
The neighborhood complex of a random graph. Zbl 1110.05090
Kahle, Matthew
2007
The threshold for integer homology in random $$d$$-complexes. Zbl 1365.05261
Hoffman, Christopher; Kahle, Matthew; Paquette, Elliot
2017
Min-type Morse theory for configuration spaces of hard spheres. Zbl 1315.55011
Baryshnikov, Yuliy; Bubenik, Peter; Kahle, Matthew
2014
Inside the critical window for cohomology of random $$k$$-complexes. Zbl 1333.05272
Kahle, Matthew; Pittel, Boris
2016
2-complexes with large 2-girth. Zbl 1381.05066
Dotterrer, Dominic; Guth, Larry; Kahle, Matthew
2018
Erratum to: “Limit theorems for Betti numbers of random simplicial complexes”. Zbl 1412.05180
Kahle, Matthew; Meckes, Elizabeth
2016
New lower bounds on $$\chi ({\mathbb R}^d)$$ for $$d = 8,\dots, 12$$. Zbl 1327.05247
Kahle, Matthew; Taha, Birra
2015
Random graph products of finite groups are rational duality groups. Zbl 1301.05311
Davis, Michael W.; Kahle, Matthew
2014
Cohen-Lenstra heuristics for torsion in homology of random complexes. Zbl 1460.05206
Kahle, Matthew; Lutz, Frank Hagen; Newman, Andrew; Parsons, Kyle
2020
Polyominoes with maximally many holes. Zbl 1428.05052
Kahle, Matthew; Roldán, Érika
2019
Sparse locally-jammed disk packings. Zbl 1259.52012
Kahle, Matthew
2012
Cohen-Lenstra heuristics for torsion in homology of random complexes. Zbl 1460.05206
Kahle, Matthew; Lutz, Frank Hagen; Newman, Andrew; Parsons, Kyle
2020
Polyominoes with maximally many holes. Zbl 1428.05052
Kahle, Matthew; Roldán, Érika
2019
Topology of random geometric complexes: a survey. Zbl 1402.60015
Bobrowski, Omer; Kahle, Matthew
2018
2-complexes with large 2-girth. Zbl 1381.05066
Dotterrer, Dominic; Guth, Larry; Kahle, Matthew
2018
Maximally persistent cycles in random geometric complexes. Zbl 1377.60024
Bobrowski, Omer; Kahle, Matthew; Skraba, Primoz
2017
The threshold for integer homology in random $$d$$-complexes. Zbl 1365.05261
Hoffman, Christopher; Kahle, Matthew; Paquette, Elliot
2017
Inside the critical window for cohomology of random $$k$$-complexes. Zbl 1333.05272
Kahle, Matthew; Pittel, Boris
2016
Erratum to: “Limit theorems for Betti numbers of random simplicial complexes”. Zbl 1412.05180
Kahle, Matthew; Meckes, Elizabeth
2016
New lower bounds on $$\chi ({\mathbb R}^d)$$ for $$d = 8,\dots, 12$$. Zbl 1327.05247
Kahle, Matthew; Taha, Birra
2015
Topology of random simplical complexes: a survey. Zbl 1333.05324
Kahle, Matthew
2014
Sharp vanishing thresholds for cohomology of random flag complexes. Zbl 1294.05195
Kahle, Matthew
2014
Min-type Morse theory for configuration spaces of hard spheres. Zbl 1315.55011
Baryshnikov, Yuliy; Bubenik, Peter; Kahle, Matthew
2014
Random graph products of finite groups are rational duality groups. Zbl 1301.05311
Davis, Michael W.; Kahle, Matthew
2014
Limit theorems for Betti numbers of random simplicial complexes. Zbl 1268.05180
Kahle, Matthew; Meckes, Elizabeth
2013
Coboundary expanders. Zbl 1259.05151
Dotterrer, Dominic; Kahle, Matthew
2012
Sparse locally-jammed disk packings. Zbl 1259.52012
Kahle, Matthew
2012
Random geometric complexes. Zbl 1219.05175
Kahle, Matthew
2011
The fundamental group of random 2-complexes. Zbl 1270.20042
Babson, Eric; Hoffman, Christopher; Kahle, Matthew
2011
Topology of random clique complexes. Zbl 1215.05163
Kahle, Matthew
2009
The neighborhood complex of a random graph. Zbl 1110.05090
Kahle, Matthew
2007
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#### Cited by 240 Authors

 11 Kahle, Matthew 10 Farber, Michael S. 9 Costa, Armindo 7 Peled, Yuval 6 Linial, Nathan 5 Owada, Takashi 5 Yogeshwaran, Dhandapani 4 Adamaszek, Michal 4 Adler, Robert Joseph 4 Bobrowski, Omer 4 Meshulam, Roy 4 Mukherjee, Sayan 4 Trinh Khanh Duy 3 Edelsbrunner, Herbert 3 Feichtner-Kozlov, Dimitry N. 3 Gundert, Anna 3 Hiraoka, Yasuaki 3 Lubotzky, Alexander 3 Rosenthal, Ron 2 Adams, Henry 2 Alpert, Hannah 2 Aronshtam, Lior 2 Bachmann, Sascha 2 Bubenik, Peter 2 Cooley, Oliver 2 Curto, Carina Pamela 2 Decreusefond, Laurent 2 Dochtermann, Anton 2 Dotterrer, Dominic 2 Ferraz, E. 2 Giusti, Chad 2 Hoffman, Christopher 2 Itskov, Vladimir 2 Kahn, Jeff D. 2 Kang, Mihyun 2 Kappeler, Thomas 2 Korándi, Dániel 2 Malen, Greg 2 Maletić, Slobodan 2 Newman, Andrew F. 2 Newman, Ilan I. 2 Nikitenko, Anton V. 2 Parzanchevski, Ori 2 Penrose, Mathew D. 2 Rabinovich, Yuri 2 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 2 Rajković, Milan 2 Reitzner, Matthias 2 Steenbergen, John 2 Sudakov, Benny 2 Tsunoda, Kenkichi 2 Wagner, Uli 2 Wright, Matthew L. 2 Yang, Jay 2 Yao, Yuan 1 Abu-Fraiha, Amir 1 Agami, Sarit 1 Aminian, Manuchehr 1 Andjelković, Miroslav 1 Aoki, Takaaki 1 Babson, Eric K. 1 Bachoc, Christine 1 Balakrishnan, Sivaraman 1 Bárány, Imre 1 Baron, Jacob D. 1 Bassett, Danielle S. 1 Bauer, Ulrich 1 Benjamini, Itai 1 Benson, Austin R. 1 Betzel, Richard F. 1 Bianconi, Ginestra 1 Blumberg, Andrew J. 1 Bogolyubskii, L. I. 1 Boissonnat, Jean-Daniel 1 Braun, Benjamin 1 Carstens, Corrie Jacobien 1 Cassese, Daniele 1 Charney, Ruth M. 1 Chen, Yen-Chi 1 Cherkashin, Danila D. 1 Ciocanel, Maria-Veronica 1 Clark, John M. C. 1 Cohen, Daniel C. 1 Cohen, Moshe 1 Conlon, David 1 Csorba, Péter 1 Daneshpajouh, Hamid Reza 1 Dasu, Shival 1 Davis, Michael W. 1 Dawes, Adriana T. 1 De Loera, Jesús A. 1 Degeratu, Anda 1 Deibel, Angelica 1 Del Giudice, Nicola 1 Demarco, Bobby 1 Divol, Vincent 1 Dłotko, Paweł 1 Eisenberg, Or 1 Erman, Daniel 1 Even-Zohar, Chaim ...and 140 more Authors
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#### Cited in 70 Serials

 15 Discrete & Computational Geometry 8 Random Structures & Algorithms 6 Journal of Topology and Analysis 6 Journal of Applied and Computational Topology 5 Israel Journal of Mathematics 5 The Annals of Applied Probability 4 Journal of Combinatorial Theory. Series A 4 Stochastic Processes and their Applications 3 Advances in Applied Probability 3 Journal of Statistical Physics 3 Proceedings of the American Mathematical Society 3 Topology and its Applications 3 European Journal of Combinatorics 3 SIAM Journal on Discrete Mathematics 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Bulletin of Mathematical Biology 2 Advances in Mathematics 2 The Annals of Statistics 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 Annals of Mathematics. Second Series 2 Journal of Statistical Mechanics: Theory and Experiment 2 Research in the Mathematical Sciences 1 European Journal of Physics 1 Inverse Problems 1 Mathematical Notes 1 Physica A 1 Physics Letters. A 1 Automatica 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Combinatorica 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Neural Networks 1 Computational Geometry 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Mathematical Programming. Series A. Series B 1 Journal of Knot Theory and its Ramifications 1 Applied and Computational Harmonic Analysis 1 The Electronic Journal of Combinatorics 1 Journal of Computational Neuroscience 1 Electronic Communications in Probability 1 Bernoulli 1 Mathematical Problems in Engineering 1 Annals of Combinatorics 1 Algebraic & Geometric Topology 1 Foundations of Computational Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Mathematics in Computer Science 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Homotopy and Related Structures 1 Algebra & Number Theory 1 Journal of Topology 1 Japanese Journal of Mathematics. 3rd Series 1 Journal of Probability and Statistics 1 Pacific Journal of Mathematics for Industry 1 Arnold Mathematical Journal 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 SIAM Journal on Applied Algebra and Geometry 1 PUMP Journal of Undergraduate Research
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#### Cited in 31 Fields

 95 Combinatorics (05-XX) 71 Algebraic topology (55-XX) 53 Probability theory and stochastic processes (60-XX) 17 Manifolds and cell complexes (57-XX) 15 Statistics (62-XX) 11 Computer science (68-XX) 8 Group theory and generalizations (20-XX) 7 Convex and discrete geometry (52-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Biology and other natural sciences (92-XX) 5 Algebraic geometry (14-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Geometry (51-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)