比利时vs摩洛哥足彩
,
university of california san diego
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math 211a - algebra seminar
prof. keivan mallahi-karai
constructor university
a central limit theorem for random walks on horospherical products of gromov hyperbolic spaces
abstract:
let \(g\) be a countable group acting by isometries on a metric space \((m, d)\), and let \(\mu\) denote a probability measure on \(g\). the \(\mu\)-random walk on \(m\) is the random process defined by
\[z_n=x_n \dots x_1 o,\]
where \(o \in m\) is a fixed base point, and \(x_i\) are independent \(\mu\)-distributed random variables.
studying statistical properties of the displacement sequence \(d_n:= d(z_n, o)\) has been a topic of current research.
in this talk, which is based on a joint work with amin bahmanian, behrang forghani, and ilya gekhtman, i will discuss a central limit theorem for \(d_n\) in the case that \(m\) is the horospherical product of gromov hyperbolic spaces.
host: alireza golsefidy
may 7, 2024
10:00 am
apm 7218
research areas
algebra ergodic theory and dynamical systems probability theory****************************
