Asymptotic Distributions for Power Variations of the Solution to the Spatially Colored Stochastic Heat Equation
Asymptotic Distributions for Power Variations of the Solution to the Spatially Colored Stochastic Heat Equation
Let <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mi>u</mi> </mrow> <mrow> <mi>α</mi> <mo>,</mo> <mi>d</mi> </mrow> </msub> <mo>=</mo> <mfenced open="{" close="}" separators="|"> <mrow> <msub> <mrow> <mi>u</mi> </mrow> <mrow> <mi>α</mi> <mo>,</mo> <mi>d</mi> </mrow> </msub> <mfenced open="(" close=")" separators="|"> <mrow> <mi>t</mi> <mo>,</mo> <mi>x</mi> </mrow> </mfenced> <mo>,</mo> <mi class="cond"> </mi> <mi>t</mi> <mo>∈</mo> <mfenced open="[" close="]" separators="|"> …