PUBLICATIONS
(To access the journal versions, you might be required to have appropriate subscriptions. A quicker summary of some of the papers can also be found in the presentations below.)
(Raphael Lachieze-Rey) Hyperuniformity and optimal transport of point processes. 2024. arXiv.
(Shu Kanazawa, Khanh Duy Trinh) Normal approximation for statistics of randomly weighted complexes. 2023. arXiv.
(Zifu Wei, Takashi Owada) Limit theorems for critical faces above the vanishing threshold. 2023. arXiv.
(Primoz Skraba) Central limit theorem for Euclidean minimal spanning acycles. 2022. arXiv J. Top. Analysis
(Siva Athreya, Purvi Gupta) Volume approximation of strongly C-Convex domains by random polyhedra. 2022. arXiv Adv. Math.
(B. R. Vinay Kumar, Navin Kashyap) An analysis of probabilistic forwarding of coded packets on random geometric graphs. 2021 arXiv WiOpt 2021. Journal version at Perf. Eval.
(Omer Bobrowski, Matthias Schulte) Poisson process approximation under stabilization and Palm coupling. 2022. arXiv Ann. Hen. Leb.
(Guenter Last, Giovanni Peccati) Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees. 2023. arXiv Rand. Struct. Alg.
(Arindam Banerjee) Edge ideals of Erdös-Rényi random graphs : Linear resolution, unmixedness and regularity. 2020. arXiv J. Alg. Comb.
(Guenter Last, Ryszard Szekli) Some remarks on associated random fields, random measures and point processes. 2020. arXiv ALEA - Lat. Amer. J. Prob. Math. Stat
(Samir Shukla) Spectral bounds for vanishing of cohomology and the neighborhood complex of a random graph. 2020. arXiv J. Comb. Theory, Series A
(Michael A. Klatt, Guenter Last) Hyperuniform and rigid stable matchings. 2020. arXiv Rand. Struct. Alg.
(Siva Athreya) Central limit theorem for statistics of subcritical configuration models. 2020. arXiv J. Raman. Math. Soc.
(Srikanth K. Iyer) Thresholds for vanishing of isolated faces in random Cech and Vietoris-Rips complexes. 2020. arXiv Ann. Inst. H. Poincaré Probab. Statist.
(Takashi Owada) Sub-tree counts on hyperbolic random geometric graphs. 2022. pre-print Adv. Appl. Prob
Geometry and topology of the boolean model on a stationary point processes : A brief survey. 2018. pre-print A brief review of my work written for the Proc. INSA
(A. Tulasi Ram Reddy, Sreekar Vadlamani) Central limit theorem for quasi-local statistics of spin models on Cayley graphs. 2018. arXiv J. Stat. Phy. : Special Issue on Complex Networks.
(Primoz Skraba, Gugan Thoppe) Randomly weighted d-Complexes : Minimal Spanning Acycles and Persistence Diagrams. 2020. arXiv El. J. Combinatorics
(Bartek Blaszczyszyn, Joseph E. Yukich) Limit theory for geometric statistics of point processes having fast decay of correlations. 2019. arXiv Ann. Prob.
(Eliran Subag, Robert J. Adler) Random geometric complexes in the thermodynamic regime. 2017. arXiv Prob. Theory Rel. Fields.
(Gugan Thoppe, Robert J. Adler) On the evolution of topology in dynamic clique complexes. 2016. arXiv Adv. Appl. Prob.
(Robert J. Adler) On the topology of random complexes built over stationary point processes. 2015 arXiv Ann. Appl. Prob.
(Bartek Blaszczyszyn) Clustering comparison of point processes with applications to random geometric models. 2014. arXiv Stochastic Geometry, Spatial Statistics and Random Fields, Ed. Schmidt, V. Lecture Notes in Mathematics, Springer. (This is a fairly comprehensive review of our work on stochastic ordering of point processes. )
(Bartek Blaszczyszyn) On comparison of clustering properties of point processes. 2014. arXiv Adv. Appl. Prob. (This article complements the EJP article and some parts also appear in the technical report listed below.).
(Bartek Blaszczyszyn) Clustering and percolation of point processes. 2013. arXiv EJP.
(Srikanth K. Iyer) Percolation and Connectivity in AB Random Geometric Graphs. 2012. arXiv Adv. Appl. Prob.
(Bartek Blaszczyszyn) Connectivity in sub-Poisson networks. (Extended pre-print) arXiv ALLERTON 2010, Urbana-Champaign, USA.
(Bartek Blaszczyszyn) Directionally Convex Ordering of Random Measures, Shot-noise fields and some applications to wireless communications 2009. arXiv Adv. Appl. Prob.
(Srikanth K. Iyer & D. Manjunath) Limit Laws for k-Coverage of Paths in a Markov Boolean Model. 2008. arXiv Stoch. Models
(S. Sundhar Ram, D. Manjunath, Srikanth. K. Iyer) On Path Sensing Properties of Random Sensor Networks. 2007. arXiv IEEE Trans. .Mob. Comp.
(N. Karamchandani, D. Manjunath, Srikanth K. Iyer) Evolving Random Geometric Graph Models for Mobile Wireless Networks. WiOpt-06. Boston, USA.
COLLABORATORS
Robert J. Adler, Siva Athreya, Arindam Banerjee, Omer Bobrowski, Bartlomiej Blaszczyszyn, Purvi Gupta, Srikanth K. Iyer, Shu Kanazawa, Nikhil Karamchandani, Navin Kashyap, Michael A. Klatt, Manjunath Krishnapur, Raphael Lachieze-Rey, Guenter Last, D. Manjunath, Takashi Owada, Giovanni Peccati, Matthias Schulte, Samir Shukla, Primoz Skraba, Eliran Subag, S. Sundhar Ram, Ryszard Szekli, Khanh Duy Trinh, A. Tulasi Ram Reddy, Agniva Roy, Gugan Thoppe, Sreekar Vadlamani, B. R. Vinay Kumar, Zifu Wei, Joseph E. Yukich.
THESES
Ph.D. Thesis in Applied Mathematics : Stochastic Geometric Networks : Comparison and Connectivity
M.S. Thesis in Mathematics : Connectivity and Tracking Problems in Wireless Sensor Networks March 2006.
UNPUBLISHED DRAFTS
(The draft below and the two internship reports are likely to have more than their share of errors and it is highly recommended to double check the proofs before using them further)
(Bartek Blaszczyszyn) Clustering, percolation and directionally convex ordering of point processes. 2011. This draft was split into two papers. See the papers in EJP (2013) and Adv. Appl. Prob. (2014).
Poisson-Poisson Cluster SINR Coverage Processes (INRIA Internship Report) 2006.
Phase-type distributed powers in SINR Coverage Processes ( INRIA Internship Report) 2006.
PRESENTATIONS :
(Unless mentioned, the slides are in .pdf format). WATCH SLIDES OR VIDEOS AT YOUR OWN RISK !!!
Spin systems on spatial random graphs. (Video)
Limit theorems for spatial interacting models (Slides, Video)
Poisson approximation under Stabilization and Palm coupling. (Slides, Video)
Sharp phase transition and noise sensitivity in continuum percolation via continuous time decision trees. (Slides, Video )
[A joint talk on the same subject along with G. Last can be found at the bottom of this page . ]
Random edge ideals (Video of the talk.). Related talk (and video recording) by my co-author Arindam Banerjee.
CLT for quasi-local statistics of point processes on Cayley graphs. (.pptx)
Sub-tree counts on hyperbolic random geometric graphs. (.pptx)
Local weak convergence, Zeta limits and random topology. (Video evidence that I can ramble on things outside my expertise. The talk is more about some connections that I thought about now and then.)
Comparison of point processes and applications to random geometric networks.
Random Geometric Complexes. (Recording of a seminar at Jozef Stefan Institute. )