Email Address: E.Candellero <AT> warwick.ac.uk
Office Number: R2.35, Ramphal Building.
Office hours (term 3): Please email me to book a meeting
Dept of Statistics
University of Warwick
Phone number: +44 247 652 2711.
I am a Harrison Early Career Assistant Professor in the Department of Statistics at the University of Warwick
I work in the areas of probability theory, analysis, and combinatorics.
Previously I was a research fellow at the University of Warwick (Department of Statistics), and prior to that I was a postdoc at Birmingham, working with Nikolaos Fountoulakis on properties of random geometric graphs on hyperbolic spaces.
I got my PhD degree at the TU-Graz (Graz University of Technology, Austria) under the supervision of Prof. Wolfgang Woess. The title of my PhD thesis is "Limit Behaviors for Random Walks and Branching Random Walks on some Products of Groups".
Together with Alexandre Stauffer (Bath) I organized the "Workshop on Random Processes in Discrete Structures" (Warwick, 30/08-02/09/2016).
More info at: www2.warwick.ac.uk/fac/sci/statistics/crism/workshops/randomprocesses
Academic year 2017/18 -- Term 1: I am teaching the course "Dynamic Stochastic Control", module ST411. (The lecture notes are available on the website of the course.)
Academic year 2017/18 -- I am organizing the Probability Reading Group.
PUBLISHED PAPERS (OR ACCEPTED FOR PUBLICATION):
"Coupling of Brownian motions in Banach spaces" (joint work with Wilfrid S. Kendall). Electronic Communication in Probability, Vol 23 (2018), no. 9, 1–13.
Preprint available at: arxiv.org/abs/1705.08300.
"Percolation and isoperimetry on roughly transitive graphs" (joint work with Augusto Teixeira). Accepted for publication in Annales de l’Institut Henri Poincaré (B).
Preprint available at: arxiv.org/abs/1507.07765.
"Oil and water: a two-type internal aggregation model" (joint work with Shirshendu Ganguly, Christopher Hoffman, and Lionel Levine). Annals of Probability, Volume 45, Number 6A (2017), 4019-4070.
Preprint available at: arxiv.org/abs/1408.0776.
"Bootstrap percolation and the geometry of complex networks" (joint work with Nikolaos Fountoulakis), Stochastic Processes and their Applications 126, pp. 234-264 (2016).
Preprint available at: arxiv.org/abs/1412.1301.
"The number of ends of critical branching random walks" (joint work with Matthew Roberts), American Journal of Probability and Mathematical Statistics (ALEA), 12 (1), 55–67 (2015).
Link to ALEA: http://alea.impa.br/articles/v12/12-03.pdf.
Preprint available at: arxiv.org/abs/1401.0429.
"Clustering and the hyperbolic geometry of complex networks" (joint work with Nikolaos Fountoulakis), Internet Mathematics, Vol. 12, no. 1-2, pp 2-53 (2016).
Preprint available at: arxiv.org/abs/1309.0459.
* An extended abstract of "Clustering and the hyperbolic geometry of complex networks" appeared in the Proceedings of the 11th International Workshop on Algorithms and Models for the Web graph (WAW'14) (A. Bonato et al. Eds.), LNCS 8882, pp. 1-12 (2014).
Link to journal: http://dx.doi.org/10.1007/978-3-319-13123-8_1.
Preprint available here.
"Branching Random Walks on Free Products of Groups" (joint work with Lorenz Gilch and Sebastian Müller), Proceedings of the London Mathematical Society, (2012) 104 (6): 1085-1120.
Link to LMS: http://plms.oxfordjournals.org/content/104/6/1085.abstract
Preprint available at: arxiv.org/abs/1104.4576.
"Phase Transitions for Random Walk Asymptotics on Free Products of Groups" (joint work with Lorenz Gilch), Random Structures & Algorithms, Vol. 40, Issue 2, 150 -- 181, (2012).
Link to RSA: http://onlinelibrary.wiley.com/doi/10.1002/rsa.20370/abstract
Preprint available at: arxiv.org/abs/0909.1893.
There are several areas of Mathematics I am interested in, for example:
- Markov chains on infinite groups;
- Branching processes;
- Martin Boundaries;
- Random graphs;
- Internal aggregation models;
- Several types of "products" of groups, e.g., free products, Cartesian products, zig-zag products...
SOME RESEARCH VISITS:
March 1 - April 1, 2016 : Research visit to New York University Shanghai (CHINA). Host: Vladas Sidoravicius.
November 10 - 15, 2014 : IMPA, Rio de Janeiro (BRAZIL). Host: Augusto Teixeira.
October 14 - 18, 2013 : Prob-L@b, University of Bath (UK). Host: Matthew Roberts.
July 2 - 6, 2013 : Center for Advanced Studies -- LMU, Munich (GERMANY). Host: Nikolaos Fountoulakis
June 13 - 19, 2013 : University of Turin (ITALY). Host: Laura Sacerdote.
March 30 - April 07, 2012 : McGill University, Montréal (CANADA). Host: Matthew Roberts.
March 15 - 30, 2012 : University of Michigan, Ann Arbor (USA). Host: Lionel Levine.
January 30 - March 15, 2012 : Microsoft Research, Redmond (USA). Host: Yuval Peres.
February 7 - 13, 2011 : Laboratoire MAPMO, Université d'Orléans (FRANCE). Host: Indira Chatterji.
November 22 - 27, 2010 : Université de Genéve (SWITZERLAND). Hosts: Lorenz Gilch and Anders Karlsson.
Link to MathSciNet (Warwick access) : MathSciNet .
Link to the Warwick Probability Seminar.
Further information about my past career can be found at the following webpage: