Ben Rifkind (Toronto)
Eigenvectors of the 1D Random Schrodinger OperatorAbsztraktWe consider a model of the one dimensional discrete random
Schrodinger operator on Z given by H = L + V, where L is the discrete
Laplacian and V is a potential on Z. When V=0 (non-random) the
spectrum is absolutely continuous and there are no L^2 eigenfunctions.
For certain classes of random potentials it is known that the spectrum
is pure point and there is complete L^2 basis of eigenfunctions which
decay exponentially (Goldshield, Kunz and Souillard, Carmona et al), a
phenomenon known as Anderson localization. In this talk I will discuss
the shape of a typical eigenvector - it is an exponential of Brownian
motion with drift. This result relies on the transfer matrix framework
developed by Kritchevski, Valko, and Virag (2011) and is joint work
with Balint Virag.
2013. november 28. csütörtök, 16:15
Júlia Komjáthy (Eindhoven)
Mountain-climbers and colored avalanches (or fixed-speed competition on the Configuration Model with infinite variance degrees)AbsztraktWe
study the competition of two spreading colors starting from single
sources on the configuration model with i.i.d. degrees following
power-law distribution with exponent tau in (2,3). In this model, two
colors spread with fixed but not necessarily equal speeds on the
unweighted random graph. We show that almost all vertices ultimately get
the `faster' color, while only a random subpolynomial fraction of the
vertices get the `slower' color.
We also show that even if the speeds are equal, there is no coexistence
with high probability, and further the `loser' color paints a polynomial
fraction of the vertices with a random exponent.
This work is the counterpart of Deijfen and van der Hofstad, where there
are exponential edge weights on the same graph model. Changing the edge
weights significantly changes the picture: in the exponential case,
even when the speeds are unequal, the `winner' can be either of the two
colors, and the `loser' can only paint a set of vertices of constant
order size.
Joint work with Enrico Baroni and Remco van der Hofstad.
2013. november 21. csütörtök, 16:15
Vető Bálint (BME)
Tracy-Widom asymptotics for q-TASEPAbsztraktWe
consider the q-TASEP that is a q-deformation of the totally asymmetric
simple exclusion process (TASEP) on Z for q in the [0,1) interval where
the jump rates depend on the gap to the next particle. For step initial
condition, we prove that the current fluctuation of q-TASEP at time t is
of order t^{1/3} and asymptotically distributed as the GUE Tracy-Widom
distribution. The talk is based on joint work with Patrik Ferrari.
2013. november 14. csütörtök, 16:15
Miklós István (Rényi Intézet)
Kényszerfeltételeket teljesítő fokszámsorozatok
realizációinak mintavételezése (Fast sampling from graphical
realizations of restricted degree sequences)Absztrakt2013. október 24. csütörtök, 16:15
József Balogh (Urbana-Champaign)
Independent sets in hypergraphsAbsztrakt2013. szeptember 26. csütörtök, 16:15
Janosch Ortmann (Toronto)
The KPZ universality class, polymers and particle systemsAbsztrakt!! Szokatlan időpont !!
2013. szeptember 5. csütörtök, 17:15
Nahuel Soprano Loto (Buenos Aires)
Phase transition for the clock model via a generalized random cluster modelAbsztrakt2013. szeptember 5. csütörtök, 16:15
Ron Peled (Tel Aviv)
Delocalization of random Lipschitz functions in two dimensionsAbsztrakt!! Szokatlan időpont !!
2013. augusztus 30. péntek, 15:00