Seminar series in Probability and Statistics
We are happy to announce that our seminar series is back to its physical, on-campus format.
The Seminar Series in Probability and Statistics is a lecture series of invited speakers in the fields of probability, statistics, and related fields, organized every second week. The talks are in seminar format, aimed at a broad audience ranging from graduate students of probability and statistics to advanced researchers of these and related fields. The seminar usually lasts an hour with roughly 35-45 minutes of presentation and the remaining time spent on questions and discussion. This year we introduce an informal gathering immediately after the seminar, with some drinks and snacks/cookies triggering further discussion.
PhD students from EEMCS will receive 1 Graduate School credit from the Graduate School for attending 6 seminars of the series.
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30 October 2023 15:45 till 16:45
[STAT/AP] Reka Szabo: Stability results via Toom contoursIn this talk I will review Toom's classical result about stability of trajectories of cellular automata. Informally, we say that a cellular automaton is stable if it does not completely lose memory of its initial state when subjected to noise. Using a contour argument Toom gave necessary and sufficient conditions for the cellular automaton to be stable. I will introduce an alternative definition of Toom contours that allows us to extend his method to more general models. I will show how this method can be used to obtain bounds for the critical parameters for certain models, as well as discuss possible applications and limitations of this extension. (Based on joint work with Jan Swart and Cristina Toninelli.)
06 November 2023 15:45 till 16:45
[STAT/AP] Aernout van Enter: Dyson models with random boundary conditionsI discuss the low-temperature behaviour of Dyson models (polynomially decaying long-range Ising models in one dimension) in the presence of random boundary conditions. For typical random (i.i.d.) boundary conditions Chaotic Size Dependence occurs, that is, the pointwise thermodynamic limit of the finite-volume Gibbs states for increasing volumes does not exist, but the sequence of states moves between various possible limit points. As a consequence it makes sense to study distributional limits, the so-called "metastates" which are measures on the possible limiting Gibbs measures.
The Dyson model is known to have a phase transition for decay parameters α between 1 and 2. We show that the metastate obtained from random boundary conditions changes character at α =3/2. It is dispersed in both cases, but it changes between being supported on two pure Gibbs measures when α is less than 3/2 to being supported on mixtures thereof when α is larger than 3/2.
Joint work with Eric Endo (NYU Shanghai) and Arnaud Le Ny (Paris-Est)
We also discuss the relation with a recent high-temperature result by Johansson Oberg and Pollicott about regularity of eigenfunctions of Transfer Operators. ( work in progress with Evgeny Verbitskiy and Mirmukshin Makhmudov).
Mondays from 4pm to 5 pm
(unless otherwise specified)