Perla Sousi

Centre for Mathematical Sciences
Wilberforce Road
Cambridge
CB3 0WB


p.sousi@statslab.cam.ac.uk

Room: D0.04
Office phone: +44 1223 337952

I am a Junior Research Fellow at Emmanuel College, Cambridge. I am also affiliated with the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. I completed my PhD at the University of Cambridge under the supervision of Prof. James Norris.

I spent Lent term 2012 (January to May) at MSRI in Berkeley.

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


Teaching

Talks


Research articles

  • Mixing times and moving targets (2012) (with Peter Winkler). (pdf).

  • Minkowski dimension of Brownian motion with drift (2012) (with Philippe Charmoy and Yuval Peres). (pdf).

  • Hunter, Cauchy Rabbit, and Optimal Kakeya Sets (2012) (with Yakov Babichenko, Yuval Peres, Ron Peretz and Peter Winkler). (pdf).

  • On recurrence and transience of self-interacting random walks (2012) (with Yuval Peres and Serguei Popov). (pdf).

  • Symmetric Rearrangements Around Infinity with Applications to Lévy Processes (2011) (with Alexander Drewitz and Rongfeng Sun). (pdf). submitted

  • The Isolation Time of Poisson Brownian motions (2011) (with Yuval Peres and Alexandre Stauffer). (pdf). submitted

  • Mixing times are hitting times of large sets (2011) (with Yuval Peres). (pdf).

  • An isoperimetric inequality for the Wiener sausage (2011) (with Yuval Peres). (pdf). Geometric and Functional Analysis (GAFA), to appear

    Wiener sausage with squares
    Wiener sausage with discs

  • Collisions of Random Walks (2010) (with Martin Barlow and Yuval Peres). (pdf). Annales de l' Institut Henri Poincare, to appear

  • Mobile Geometric Graphs: Detection, Coverage and Percolation (with Yuval Peres, Alistair Sinclair and Alexandre Stauffer). (pdf). Probability Theory and Related Fields, , to appear
    Extended abstract appeared in SODA 2011

  • Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension (2010) (with Yuval Peres). (pdf). Mathematical Proceedings of the Cambridge Philosophical Society, to appear
    Slides

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

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

    Webpages of coauthors:

    Martin Barlow, Philippe Charmoy, Alexander Drewitz, George Kesidis, Takis Konstantopoulos, Yuval Peres, Serguei Popov, Alistair Sinclair, Alexandre Stauffer, Rongfeng Sun, Peter Winkler