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Research
  1. Queen Mary University of London
  2. Research
  3. Publications

Publications: PROF Michael Farber

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Farber M, Oprea J ( 2025 ) . Topology and motion algorithms for autonomous robots . vol. 2 , ( 2 ) 481 - 513 .
Espinosa Baro A, Farber M, Mescher S, Oprea J ( 2024 ) . Sequential topological complexity of aspherical spaces and sectional categories of subgroup inclusions . Mathematische Annalen vol. 391 , ( 3 ) 4555 - 4605 .
Farber M, Paul AK ( 2024 ) . Sequential parametrized topological complexity of sphere bundles . European Journal of Mathematics vol. 10 , ( 4 )
Farber M ( 2024 ) . Autonomous robots, motion algorithms and topology . Topology and AI , vol. 4 , European Mathematical Society - EMS - Publishing House
Farber M, Oprea J ( 2024 ) . Sequential parametrized topological complexity and related invariants . Algebraic & Geometric Topology vol. 24 , ( 3 ) 1755 - 1780 .
Farber M, Gnedin A, Mannan W ( 2023 ) . A random graph growth model . Bulletin of the London Mathematical Society vol. 56 , ( 2 ) 662 - 680 .
Farber M, Nowik T ( 2023 ) . The homology of random simplicial complexes in the multi-parameter upper model . Israel Journal of Mathematics vol. 256 , ( 1 ) 213 - 231 .
Farber M ( 2023 ) . Large simplicial complexes: universality, randomness, and ampleness . Journal of Applied and Computational Topology vol. 8 , ( 6 ) 1551 - 1574 .
Farber M, Paul AK ( 2023 ) . Sequential parametrized motion planning and its complexity, II . Topology and its Applications vol. 331 ,
Farber M, Weinberger SW ( 2023 ) . Parametrized topological complexity of sphere bundles . Topological Methods in Nonlinear Analysis1 - 17 .
Farber M, Gnedin A, Mannan W ( 2023 ) . A Random Graph Growth Model .
Farber M, Weinberger S ( 2022 ) . Parametrized Motion Planning and Topological Complexity . Algorithmic Foundations of Robotics XV , vol. 25 , Springer Nature
Cohen DC, Farber M, Weinberger S ( 2022 ) . Correction to: Parametrized topological complexity of collision‑free motion planning in the plane . Annals of Mathematics and Artificial Intelligence vol. 91 , ( 1 ) 105 - 106 .
Farber M, Paul AK ( 2022 ) . Sequential Parametrized Motion Planning and its complexity . Topology and its Applications108256 - 108256 .
Cohen DC, Farber M, Weinberger S ( 2022 ) . Parametrized topological complexity of collision-free motion planning in the plane . Annals of Mathematics and Artificial Intelligence vol. 90 , ( 10 ) 999 - 1015 .
Even-Zohar C, Farber M, Mead L ( 2022 ) . Ample simplicial complexes . European Journal of Mathematics vol. 8 , ( 1 ) 1 - 32 .
Cohen DC, Farber M, Weinberger S ( 2021 ) . Topology of Parametrized Motion Planning Algorithms . SIAM Journal on Applied Algebra and Geometry vol. 5 , ( 2 ) 229 - 249 .
Farber M, Mead L, Strauss L ( 2021 ) . The Rado simplicial complex . Journal of Applied and Computational Topology vol. 5 , ( 2 ) 339 - 356 .
Even-Zohar C, Farber M ( 2021 ) . Random Surfaces with Boundary . Discrete & Computational Geometry vol. 66 , ( 4 ) 1463 - 1469 .
Farber M, Nowik T ( 2021 ) . Topological embeddings into random 2‐complexes . Random Structures and Algorithms vol. 58 , ( 4 ) 664 - 675 .
Farber M, Kishimoto D, Stanley D ( 2020 ) . Generating functions and topological complexity . Topology and its Applications vol. 278 ,
Farber M, Mead L ( 2020 ) . Random simplicial complexes in the medial regime . Topology and its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology Article 107065 , 107065 - 107065 .
Farber M, Mead L, Nowik T ( 2019 ) . Random simplicial complexes, duality and the critical dimension . Journal of Topology and Analysis vol. 14 , ( 01 ) 1 - 31 .
Goubault E, Farber M, Sagnier A ( 2019 ) . Directed topological complexity . Journal of Applied and Computational Topology vol. 4 , ( 1 ) 11 - 27 .
Farber M, Grant M, Lupton G, Oprea J ( 2019 ) . Bredon cohomology and robot motion planning . Algebraic & Geometric Topology vol. 19 , ( 4 ) 2023 - 2059 .
Farber M, Oprea J ( 2019 ) . Higher topological complexity of aspherical spaces . Topology and its Applications vol. 258 , 142 - 160 .
Farber M, Grant M, Lupton G, Oprea J ( 2019 ) . An upper bound for topological complexity . Topology and its Applications vol. 255 , 109 - 125 .
Farber M, Mescher S ( 2018 ) . On the topological complexity of aspherical spaces . Journal of Topology and Analysis vol. 12 , ( 02 ) 293 - 319 .
Farber M ( 2017 ) . CONFIGURATION SPACES AND ROBOT MOTION PLANNING ALGORITHMS . Combinatorial and Toric Homotopy , vol. 35 , World Scientific Publishing
Costa A, Farber M ( 2017 ) . Large random simplicial complexes, III the critical dimension . Journal of Knot Theory and Its Ramifications vol. 26 , ( 02 )
Farber M ( 2017 ) . Configuration spaces and robot motion planning algorithms . Combinatorial and Toric Homotopy Introductory Lectures ,
Costa A, Farber M ( 2016 ) . Random Simplicial Complexes . Springer INdAM Series vol. 14 , 129 - 153 .
Costa A, Farber M ( 2016 ) . Large random simplicial complexes, II; the fundamental group . Journal of Topology and Analysis vol. 09 , ( 03 ) 441 - 483 .
Costa A, Farber M ( 2016 ) . Large random simplicial complexes, I . Journal of Topology and Analysis vol. 08 , ( 03 ) 399 - 429 .
Cohen D, Costa A, Farber M, Kappeler T ( 2016 ) . Correction to Our Article “Topology of Random 2-Complexes” Published in DCG 47 (2012), pp. 117–149 . Discrete & Computational Geometry vol. 56 , ( 2 ) 502 - 503 .
Costa AE, Farber M ( 2015 ) . Geometry and topology of random 2-complexes . Israel Journal of Mathematics vol. 209 , ( 2 ) 883 - 927 .
Costa A, Farber M, Horak D ( 2015 ) . Fundamental groups of clique complexes of random graphs . Transactions of the London Mathematical Society vol. 2 , ( 1 ) 1 - 32 .
Costa AE, Farber M ( 2013 ) . The asphericity of random 2‐dimensional complexes . Random Structures and Algorithms vol. 46 , ( 2 ) 261 - 273 .
Farber M, Fromm V ( 2012 ) . The topology of spaces of polygons . Transactions of the American Mathematical Society vol. 365 , ( 6 ) 3097 - 3114 .
Farber M, Gonzalez Espino Barros J, Schütz D ( 2011 ) . Arbeitsgemeinschaft: Topological Robotics . Oberwolfach Reports vol. 7 , ( 4 ) 2681 - 2744 .
Farber M, Suciu AI, Yuzvinsky S ( 2008 ) . Mini-Workshop: Topology of closed one-forms and Cohomology Jumping Loci . Oberwolfach Reports vol. 4 , ( 3 ) 2321 - 2360 .
Farber M, Schütz D ( 2008 ) . Homological category weights and estimates for $\mathrm{cat}^1(X,\xi)$ . Journal of the European Mathematical Society vol. 10 , ( 1 ) 243 - 266 .
Farber M, Weinberger S . Workshop on Algorithmic Foundations of Robotics . Workshop on Algorithmic Foundations of Robotics ,
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