On Gaussian fields and random walks
Time: 2026-10-21
Published By: Ruixin Li
Speaker(s): Titus Lupu(Sorbonne Université)
Time: 16:00-17:00 October 27, 2026
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract:
I will review the relations between the Gaussian free field and the random walks (in discrete setting) or Brownian motion (in continuum setting). These date back to the works of Kurt Symanzik in Euclidean field theory, with notable contributions by Brydges-Fröhlich-Spencer and Dynkin. I will also present some more recent developments, in particular in dimension 2 in relation with the conformal invariance and the Schramm-Loewner Evolutions.
Bio-Sketch:
Titus Lupu is a CNRS researcher at Sorbonne Université in Paris, since 2018. He obtained his Ph.D. in Mathematics at Université Paris-Sud, Orsay, in 2015, under the direction of Prof. Yves Le Jan. From 2015 to 2017 he was a Junior Fellow at the Institute for Theoretical Studies at ETH Zurich. Titus Lupu works in Probability Theory. He is interested in the Gaussian free field, Brownian motion, SLE processes, long-range percolation models, logarithmically correlated fields and Wick renormalization. In 2026 he was awarded the Rollo-Davidson prize in Probability Theory.
I will review the relations between the Gaussian free field and the random walks (in discrete setting) or Brownian motion (in continuum setting). These date back to the works of Kurt Symanzik in Euclidean field theory, with notable contributions by Brydges-Fröhlich-Spencer and Dynkin. I will also present some more recent developments, in particular in dimension 2 in relation with the conformal invariance and the Schramm-Loewner Evolutions.
Bio-Sketch:
Titus Lupu is a CNRS researcher at Sorbonne Université in Paris, since 2018. He obtained his Ph.D. in Mathematics at Université Paris-Sud, Orsay, in 2015, under the direction of Prof. Yves Le Jan. From 2015 to 2017 he was a Junior Fellow at the Institute for Theoretical Studies at ETH Zurich. Titus Lupu works in Probability Theory. He is interested in the Gaussian free field, Brownian motion, SLE processes, long-range percolation models, logarithmically correlated fields and Wick renormalization. In 2026 he was awarded the Rollo-Davidson prize in Probability Theory.
