Publications: Prof Michael Farber

Farber M, Gnedin A, Mannan W ( 2023 ) . A random graph growth model . Bulletin of the London Mathematical Society

Farber M, Nowik T ( 2023 ) . THE HOMOLOGY OF RANDOM SIMPLICIAL COMPLEXES IN THE MULTI-PARAMETER UPPER MODEL . Israel Journal of Mathematics

Farber M ( 2023 ) . Large simplicial complexes: universality, randomness, and ampleness . Journal of Applied and Computational Topology1 - 24 .

Farber M, Paul AK ( 2023 ) . SEQUENTIAL PARAMETRIZED MOTION PLANNING AND ITS COMPLEXITY, II . Topology and its Applications

Farber M, Weinberger S ( 2023 ) . Parametrized topological complexity of sphere bundles . Topological Methods of Nonlinear Analysis

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 .

Farber M, Mead L, Nowik T ( 2022 ) . Random simplicial complexes, duality and the critical dimension . Journal of Topology and Analysis1 - 31 .

Farber M, Even - Zohar C, Mead L ( 2022 ) . Ample simplicial complexes . European Journal of Mathematics

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 .

Farber M, Even-Zohar C ( 2021 ) . Random surfaces with boundary . Discrete and Computational Geometry: an international journal of mathematics and computer science

Farber M, Nowik T ( 2021 ) . TOPOLOGICAL EMBEDDINGS INTO RANDOM 2-COMPLEXES . Random Structures and Algorithms

Farber M, Kishimoto D, Stanley D ( 2020 ) . Generating functions and topological complexity . Topology and its Applications vol. 278 ,

FARBER M, MESCHER S ( 2020 ) . On the topological complexity of aspherical spaces . Journal of Topology and Analysis

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 .

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 ( 2017 ) . Configuration Spaces and Motion Planning Algorithms . Combinatorial and Toric Topology , Editors: Grbic, J, Darby,, A, Wu, J ,

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 . vol. 14 , 129 - 153 .

FARBER M, Costa A ( 2016 ) . Large random simplicial complexes, II; the fundamental group . Journal of Topology and Analysis

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 and 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 .

FARBER M, Costa A ( 2015 ) . Large random simplicial complexes, I . Journal of Topology and Analysis vol. 8 , ( 3 ) 399 - 429 .

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, Belolipetsky M ( 2008 ) . Homological category weights and estimates for $\mathrm{cat}^1(X,\xi)$ . Journal of the European Mathematical Society vol. 10 , ( 1 ) 243 - 266 .