Rhys Steele

activity

20172026

most citedThe

Φ_{3}^{4}

measure has sub-Gaussian tails

3 citations · 5 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.PR2026

The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation

Máté Gerencsér, Yueh-Sheng Hsu, Rhys Steele

One of the most common descriptions of solutions of singular SPDEs is their characterisation as the limit of solutions of renormalised smooth random PDEs. We quantify the speed of…

math.PR2023★ 1 cited

The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

Martin Hairer, Rhys Steele

We provide a relatively compact proof of the BPHZ theorem for regularity structures of decorated trees in the case where the driving noise satisfies a suitable spectral gap propert…

math.PR2021★ 3 cited

The $Φ_{3}^{4}$ measure has sub-Gaussian tails

Martin Hairer, Rhys Steele

We provide a very simple argument showing that the $Φ_{3}^{4}$ measure does have quartic exponential tails, as expected from its formal expression. This shows that the corresponding mo…

The Sharp Rate of Probabilistically Strong Convergence to the KPZ Equation

The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality

The Φ34​ measure has sub-Gaussian tails

The $Φ_{3}^{4}$ measure has sub-Gaussian tails