Perla Sousi

Centre for Mathematical Sciences
Wilberforce Road

Office: D1.11
Phone: +44 1223 337952

I am a Lecturer in the Statistics Laboratory, part of the DPMMS at the University of Cambridge.
I am also a Fellow of Emmanuel College.

Research interests: Random walks, Brownian motion, mixing times of Markov chains, Poisson Brownian motions, rearrangement inequalities.

Teaching 2011, 2013, 2015


Research articles

  • Random walks colliding before getting trapped (2015) (with Louigi Addario-Berry, Roberto I. Oliveira and Yuval Peres).

  • Intersection and mixing times for reversible chains (2014) (with Yuval Peres, Thomas Sauerwald and Alexandre Stauffer).

  • Martingale defocusing and transience of a self-interacting random walk (2014) (with Yuval Peres and Bruno Schapira). Ann. Inst. Henri Poincare, accepted.

  • Dimension of Fractional Brownian motion with variable drift (2013) (with Yuval Peres). Prob. Theory and Related Fields, accepted.

  • Uniformity of the late points of random walk on Z_n^d for d>=3 (2013) (with Jason Miller).

  • Total variation cutoff in a tree (2013) (with Yuval Peres). Annales de la Faculte des Sciences de Toulouse

  • A permuted random walk exits faster (2013) (with Richard Pymar). ALEA Lat. Am. J. Probab. Math. Stat. 11 (2014), no. 1, 185-195.

  • Mixing times and moving targets (with Peter Winkler). Combin. Probab. Comput., 23 (2014), no. 3, 460-476

  • Minkowski dimension of Brownian motion with drift (with Philippe Charmoy and Yuval Peres). J. Fractal Geom. 1 (2014), no. 2, 153–176.

  • Hunter, Cauchy Rabbit, and Optimal Kakeya Sets (with Yakov Babichenko, Yuval Peres, Ron Peretz and Peter Winkler). Trans. Amer. Math. Soc. 366 (2014), no. 10

  • On recurrence and transience of self-interacting random walks (with Yuval Peres and Serguei Popov). Bull. Braz. Math. Soci. (N.S.) 44 (2013), no. 4, 841-867.

  • Symmetric Rearrangements Around Infinity with Applications to Lévy Processes (with Alexander Drewitz and Rongfeng Sun). Probab. Theory and Related Fields, 158 (2014), no. 3-4, 637–664.

  • The Isolation Time of Poisson Brownian motions (with Yuval Peres and Alexandre Stauffer). ALEA Lat. Am. J. Probab. Math. Stat. 10 (2013), no. 2, 813-829.

  • Mixing times are hitting times of large sets (2011) (with Yuval Peres). Journal of Theoretical Probability , accepted

  • An isoperimetric inequality for the Wiener sausage (with Yuval Peres). Geom. Funct. Anal. 22 (2012), no. 4, 1000-1014.

  • Collisions of Random Walks (with Martin Barlow and Yuval Peres). Annales de l' Institut Henri Poincare, 48 (2012), no. 4, 922--946.

  • Mobile Geometric Graphs: Detection, Coverage and Percolation (with Yuval Peres, Alistair Sinclair and Alexandre Stauffer). Probability Theory and Related Fields, 156 (2013), no. 1-2, 273--305.
    Extended abstract appeared in SODA 2011

  • Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension (with Yuval Peres). Math. Proc. Cambridge Philos. Soc. 153 (2012), no. 2, 215-234.

  • A stochastic epidemiological model and a deterministic limit for BitTorrent-like peer-to-peer file-sharing networks (2008) (with George Kesidis and Takis Konstantopoulos). Springer Lecture Notes in Computer Science 2008

  • ODE approximations to some Markov chain models (2009). Smith-Knight essay


    Webpages of coauthors:

    Louigi Addario-Berry, Roberto Oliveira, Martin Barlow, Philippe Charmoy, Alexander Drewitz, George Kesidis, Takis Konstantopoulos, Jason Miller, Yuval Peres, Serguei Popov, Richard Pymar, Thomas Sauerwald, Bruno Schapira, Alistair Sinclair, Alexandre Stauffer, Rongfeng Sun, Peter Winkler