Daniel Conus

activity

20102016

most citedOn the chaotic character of the stochastic heat equation, before the onset of intermitttency

54 citations · 124 across the 10 of their papers we have counts for

collaborators

Showing 2011 · math.PRShow all

5 papers · 2 filters

math.PR2011★ 3 cited

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…

math.PR2011★ 1 cited

On the chaotic character of the stochastic heat equation, II

Daniel Conus, Mathew Joseph, Davar Khoshnevisan +1

Consider the stochastic heat equation $\partial_{t} u = (\frac{ϰ}{2}) Δ u + σ (u) F ˙$ , where the solution $u := u_{t} (x)$ is indexed by $(t, x) \in (0, \infty) \times R^{d}$ , and $\dot…

math.PR2011

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 $\partial_{t} u = L u + σ (u) W ˙$ , where $W ˙$ denotes space-time white noise, $L$ the…

math.PR2011

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…

math.PR2011★ 54 cited

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 $\partial_{t} u = \frac{1}{2} \partial_{xx} u + σ (u) \partial_{x t} W$ , where $\partial_{x t} W$ denotes space-time white noise and $σ:\mathbf {R…