Piotr
Miłoś
home page
Who?
I am an assistant professor in the Faculty
of Mathematics, Informatics and Mechanics, University of Warsaw.
I
was
a post-doc at the Université de Genève working
under supervision of prof. Yvan Velenik. Now,
I am a post-doc at Prob-Lab
and work with dr Simon
Harris.
My Ph.D. supervisor was prof. Tomasz
Bojdecki.
Where?
My email adress is: pmilos (at) mimuw.edu.pl
What?
I am interested in probability. More particularly in stochastic
processes, stochastic models, branching processes, limit theorems,
occupation times, fragmentation processes etc. Now I study some
mathematical physics models (e.g. surfaces models, entropic repulsion
phenomenon etc).
How?
You can read about it in my papers. Most of them are available on arXiv.
-
On the discrete Gaussian Free Field with disordered pinning on $\mathbb Z^d$, $d\geq 2$ (joint with L. Coquille), in preparation
-
Spatial CLT for the supercritical Ornstein-Uhlenbeck superprocess, 2011 (pdf)
-
Occupation times of subcritical branching immigration systems with Markov motion, clt and deviations principles, accepted to Inf. Dim. Anal. and Quant. Probab. (to be published in 2012) (pdf)
-
Inequality decomposition by population subgroups for ordinal data (joint work with M. Kobus) , J. Health Econ, 2012, 31:15-21, 2011 (pdf)
-
On truncated variation, upward truncated variation and downward truncated variation for diffusion (joint with R. Łochowski), accepted to Stoch. Proc. Appl., 2011 (pdf)
-
CLT for Ornstein-Uhlenbeck branching particle system (joint with R. Adamczak), submitted to Elect. J. Prob., 2011 (pdf)
-
U-statistics of Ornstein-Uhlenbeck branching particle system (joint with R. Adamczak), submitted to J. Th. Probab., 2011 (pdf)
-
Fluctuations of the occupation times for branching system starting from infinitely divisible point processes, 2011 (pdf)
-
Occupation time fluctuation limits of infinite variance equilibrium branching systems, Inf. Dim. Anal. and Quant. Probab. 2009, Vol. 12. No.4, pp. 593-612 (pdf)
-
Occupation times of subcritical branching immigration system with Markov motions, Stoch. Proc. Appl. 119 (2009), pp. 3211-3237 (pdf)
-
A note on small branching fluctuation limits of catalytic superprocesses with immigration, IMPAN Preprint 689, 2008 (pdf)
-
Limit theorems for fluctuations of occupation times of branching systems (in Polish), 2008, Ph.D. dissertation, in polish (pdf)
-
On Meritocratic Inequality Indices (with M. Kobus) Working Paper. RePEc Archive no. 10532 (2008) (pdf)
-
Occupation time fluctuations of Poisson and equilibrium branching systems in critical and large dimensions, Prob. Math. Stat. 2008, Vol. 28, Fasc. 2, pp. 235-256. (pdf)
-
Occupation time fluctuations of Poisson and equilibrium finite variance branching systems, Prob. Math. Stat. 2007, Vol. 27, Fasc. 2, pp. 181-203. (pdf)
How?
Here are some selected presentations of my talks
-
Discrete Gaussian free field with disordered pinning (pdf)
-
CLT for superciritcal branching processes (pdf)
-
Fluctuations of occupations processes - LDP, in polish (pdf)
With who?
List of my coauthors: Radek Adamczak, Loren Coquille, Rafał Łochowski, Martyna Kobus
CV?
Fragmentations
I was an organiser of Fragmentation Seminar
Math movies
A wonderful movie
depicting the famous "sphere eversion". Do you think that the
Möbius transform is difficult? Not at all!
Short talk
Surprisingly many extraordinarily intelligent people give crappy
talks on conferences.
Here a few hints by Richard Durrett
Click
And some others by Agelos Georgakopoulos Clik
Tao blog
If you've never heard of Terrence Tao go here. Later read
his amzing blog.
Click
Genealogy
Do you know who was your mathematical ancestor. Or you would like to
know that your grand-grand-...-grand supervisor was David Hilbert ...
Click
Life
Life of each Ph.D. student is full of ... unfulfilled hopes,
dejection, hopelessness etc.
Sounds familiar?