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20122021
most citedRigorous quantum field theory functional integrals over the p-adics I: anomalous dimensions

24 citations · 43 across the 5 of their papers we have counts for

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math.PR20204 cited

Phase transitions for

Ajay Chandra, Trishen S. Gunaratnam, Hendrik Weber

We establish a surface order large deviation estimate for the magnetisation of low temperature . As a byproduct, we obtain a decay of spectral gap for its Glauber dynamics g…

math.PR20191 cited

Local solution to the multi-layer KPZ equation

Ajay Chandra, Dirk Erhard, Hao Shen

In this article we prove local well-posedness of the system of equations on the circle where $1\leq i…

math.PR2018

The dynamical sine-Gordon model in the full subcritical regime

Ajay Chandra, Martin Hairer, Hao Shen

We prove that the dynamical sine-Gordon equation on the two dimensional torus introduced in [HS16] is locally well-posed for the entire subcritical regime. At first glance this equ…

math.PR201324 cited

Rigorous quantum field theory functional integrals over the p-adics I: anomalous dimensions

Abdelmalek Abdesselam, Ajay Chandra, Gianluca Guadagni

In this article we provide the complete proof of the result announced in arXiv:1210.7717 about the construction of scale invariant non-Gaussian generalized stochastic processes ove…

math.PR20125 cited

Rigorous quantum field theory functional integrals over the p-adics: research announcement

Abdelmalek Abdesselam, Ajay Chandra, Gianluca Guadagni

In this short note we announce the construction of scale invariant non-Gaussian generalized stochastic processes over three dimensional p-adic space. The construction includes that…