54 citations · 124 across the 10 of their papers we have counts for
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Intermittency and chaos for a stochastic non-linear wave equation in dimension 1
Daniel Conus, Mathew Joseph, Davar Khoshnevisan +1
We consider a non-linear stochastic wave equation driven by space-time white noise in dimension 1. First of all, we state some results about the intermittency of the solution, whic…
On the chaotic character of the stochastic heat equation, II
Daniel Conus, Mathew Joseph, Davar Khoshnevisan +1
Consider the stochastic heat equation , where the solution is indexed by , and $\dot…
Initial measures for the stochastic heat equation
Daniel Conus, Mathew Joseph, Davar Khoshnevisan +1
We consider a family of nonlinear stochastic heat equations of the form , where denotes space-time white noise, the…
Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs
Daniel Conus, Mathew Joseph, Davar Khoshnevisan
We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal li…
On the chaotic character of the stochastic heat equation, before the onset of intermitttency
Daniel Conus, Mathew Joseph, Davar Khoshnevisan
We consider a nonlinear stochastic heat equation , where denotes space-time white noise and $σ:\mathbf {R…