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PRODID:Mathematics Seminar Calendar
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UID:20170922T041336-4121@math.msu.edu
DTSTAMP:20170922T041336Z
SUMMARY:Second order Lyapunov exponent for the hyperbolic Anderson model
DESCRIPTION:Speaker\: Raluca Balan, University of Ottawa\r\nIn this talk, I will present some recent results regarding the asymptotic behavior of the second moment of the solution to the hyperbolic Anderson model in arbitrary spatial dimension d, driven by a Gaussian noise which is white in time. Two cases are considered for the spatial covariance structure of the noise: (i) the Fourier transform of the spectral measure of the noise is a non-negative locally-integrable function; (ii) d=1 and the noise is a fractional Brownian motion in space with index 1/4<H<1/2. These results are derived from a connection between the hyperbolic and parabolic models, and the recent powerful results of Huang, Le and Nualart (2015) for the parabolic model. This talk is based on joint work with Jian Song (University of Hong Kong).
LOCATION:C405 Wells Hall
DTSTART:20170914T201000Z
DTEND:20170914T210000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=4121
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UID:20170922T041336-4122@math.msu.edu
DTSTAMP:20170922T041336Z
SUMMARY:Parametrized SLE curves with self-similarity and stationary increments
DESCRIPTION:Speaker\: Dapeng Zhan, MSU\r\nWe describe an SLE$_\kappa$ curve, $\kappa\in(0,8)$, which is parametrized by $(d:=1+\frac \kappa 8)$-dimensional Minkowski content, and has self-similarity of exponent $1/d$ and stationary increments. We then prove that such SLE$_\kappa$ curve is $\alpha$-H\"older continuous for any $\alpha<1/d$, and Mckean's dimension theorem holds for this curve.
LOCATION:C405 Wells Hall
DTSTART:20170921T190000Z
DTEND:20170921T195000Z
URL:https://math.msu.edu/Seminars/TalkView.aspx?talk=4122
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