Publications

Preprints

[37]

A Universal Law of Large Numbers for Extreme Cycles in Random Čech Complexes

O. Bobrowski and P. Skraba

Preprint, 2026

arXiv

[36]

Universal Topological Statistics on Triangulated Singular Spaces

U. Lim, O. Bobrowski, and P. Skraba

Preprint, 2026

arXiv

[35]

A Universal Nearest-Neighbor Estimator for Intrinsic Dimensionality

E.-J. Ong, O. Bobrowski, G. Reinert, and P. Skraba

Preprint, 2026

arXiv

[34]

Sharp Phase Transition for the Formation of Infinite Tubes

S. Kanazawa, O. Bobrowski, and P. Skraba

Preprint, 2026

arXiv

[33]

Sharp Phase Transitions for k-Fold Coverage Using Morse Theory

Y. Reani and O. Bobrowski

Preprint, 2025

arXiv

Published papers

[32]

Universality in Random Persistent Homology and Scale-Invariant Functionals

O. Bobrowski and P. Skraba

Communications of the AMS 6, 378–423, 2026

Journal arXiv

[31]

Functional Limit Theorems for Local Functionals of Dynamic Point Processes

E. Onaran, O. Bobrowski, and R. Adler

Electronic Journal of Probability 31, 1–31, 2026

Journal arXiv

[30]

Morse Theory for the k-NN Distance Function

Y. Reani and O. Bobrowski

Discrete & Computational Geometry 75(2), 491–510, 2025

Journal arXiv

[29]

Morse Theory for the k-NN Distance Function

Y. Reani and O. Bobrowski

40th International Symposium on Computational Geometry (SoCG), 2024

Proceedings arXiv

[28]

Cluster-Persistence for Weighted Graphs

O. Bobrowski and P. Skraba

Entropy 25(12), 1587, 2023

Journal arXiv

[27]

A Coupled Alpha Complex

Y. Reani and O. Bobrowski

Journal of Computational Geometry 14(1), 221–256, 2023

Journal arXiv

[26]

A Universal Null-Distribution for Topological Data Analysis

O. Bobrowski and P. Skraba

Scientific Reports 13(1), 12274, 2023

Journal arXiv

[25]

Functional Central Limit Theorems for Local Statistics of Spatial Birth–Death Processes in the Thermodynamic Regime

E. Onaran, O. Bobrowski, and R. Adler

The Annals of Applied Probability 33(5), 3958–3986, 2023

Journal arXiv

[24]

Cycle Registration in Persistent Homology with Applications in Topological Bootstrap

Y. Reani and O. Bobrowski

IEEE Transactions on Pattern Analysis and Machine Intelligence 45(5), 5579–5593, 2023

Journal arXiv

[23]

Poisson Process Approximation Under Stabilization and Palm Coupling

O. Bobrowski, M. Schulte, and D. Yogeshwaran

Annales Henri Lebesgue 5, 1489–1534, 2022

Journal arXiv

[22]

Homological Connectivity in Random Čech Complexes

O. Bobrowski

Probability Theory and Related Fields 183(3–4), 715–788, 2022

Journal arXiv

[21]

Unsupervised Geometric and Topological Approaches for Cross-Lingual Sentence Representation and Comparison

S. H. Meirom and O. Bobrowski

Proceedings of the 7th Workshop on Representation Learning for NLP, 173–183, 2022

Proceedings

[20]

Alarm Sound Detection Using Topological Signal Processing

T. Fireaizen, S. Ron, and O. Bobrowski

IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2022

Proceedings

[19]

On the Spectrum of Dense Random Geometric Graphs

K. Adhikari, R. Adler, O. Bobrowski, and R. Rosenthal

The Annals of Applied Probability 32(3), 1734–1773, 2022

Journal arXiv

[18]

Random Simplicial Complexes: Models and Phenomena

O. Bobrowski and D. Krioukov

Book chapter, Higher-Order Systems, 59–96, Springer, 2022

Chapter arXiv

[17]

Homological Percolation: The Formation of Giant k-Cycles

O. Bobrowski and P. Skraba

International Mathematics Research Notices 2022(8), 6186–6213, 2022

Journal arXiv

[16]

Joint Geometric and Topological Analysis of Hierarchical Datasets

L. Aloni, O. Bobrowski, and R. Talmon

Joint European Conference on Machine Learning and Knowledge Discovery in Databases (ECML PKDD), 478–493, 2021

Proceedings arXiv

[15]

Probabilistic Convergence and Stability of Random Mapper Graphs

A. Brown, O. Bobrowski, E. Munch, and B. Wang

Journal of Applied and Computational Topology 5, 99–140, 2021

Journal arXiv

[14]

Convergence of Persistence Diagrams for Topological Crackle

T. Owada and O. Bobrowski

Bernoulli 26(3), 2275–2310, 2020

Journal arXiv

[13]

Homological Percolation and the Euler Characteristic

O. Bobrowski and P. Skraba

Physical Review E 101, 032404:1–16, 2020

Journal arXiv

[12]

Random Čech Complexes on Riemannian Manifolds

O. Bobrowski and G. Oliveira

Random Structures & Algorithms 54(3), 373–412, 2019

Journal arXiv

[11]

Topology of Random Geometric Complexes: A Survey

O. Bobrowski and M. Kahle

Journal of Applied and Computational Topology 1(3–4), 331–364, 2018

Journal arXiv

[10]

Maximally Persistent Cycles in Random Geometric Complexes

O. Bobrowski, M. Kahle, and P. Skraba

The Annals of Applied Probability 27(4), 2032–2060, 2017

Journal arXiv

[9]

On the Vanishing of Homology in Random Čech Complexes

O. Bobrowski and S. Weinberger

Random Structures & Algorithms 51(1), 14–51, 2017

Journal arXiv

[8]

Topological Consistency via Kernel Estimation

O. Bobrowski, S. Mukherjee, and J. Taylor

Bernoulli 23(1), 288–328, 2017

Journal arXiv

[7]

The Topology of Probability Distributions on Manifolds

O. Bobrowski and S. Mukherjee

Probability Theory and Related Fields 161(3–4), 651–686, 2015

Journal arXiv

[6]

Crackle: The Homology of Noise

R. J. Adler, O. Bobrowski, and S. Weinberger

Discrete & Computational Geometry 52(4), 680–704, 2014

Journal arXiv

[5]

Distance Functions, Critical Points and the Topology of Random Čech Complexes

O. Bobrowski and R. J. Adler

Homology, Homotopy and Applications 16(2), 311–344, 2014

Journal arXiv

[4]

Euler Integration of Gaussian Random Fields and Persistent Homology

O. Bobrowski and M. S. Borman

Journal of Topology and Analysis 4(01), 49–70, 2012

Journal arXiv

[3]

Persistent Homology for Random Fields and Complexes

R. J. Adler, O. Bobrowski, M. S. Borman, E. Subag, and S. Weinberger

IMS Collections 6, 124–143, 2010

Journal arXiv

[2]

Bayesian Filtering in Spiking Neural Networks: Noise, Adaptation and Multisensory Integration

O. Bobrowski, R. Meir, and Y. C. Eldar

Neural Computation 21(5), 1277–1320, 2009

Journal

[1]

A Neural Network Implementing Optimal State Estimation Based on Dynamic Spike Train Decoding

O. Bobrowski, R. Meir, S. Shoham, and Y. C. Eldar

Advances in Neural Information Processing Systems (NIPS) 20, 145–152, 2007

Proceedings