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The Fyodorov–Bouchaud formula and Liouville conformal field theory
- G. Remy
- MathematicsDuke Mathematical Journal
- 18 October 2017
In a remarkable paper in 2008, Fyodorov and Bouchaud conjectured an exact formula for the density of the total mass of (sub-critical) Gaussian multiplicative chaos (GMC) associated to the Gaussian…
Effect of Fe Intermetallics on Microstructure and Properties of Al-7Si Alloys
- J. Mathew, G. Remy, M. Williams, F. Tang, P. Srirangam
- Materials ScienceJOM
- 25 March 2019
AbstractThe present work deals with the effect of iron intermetallics on the microstructure and mechanical properties of Al-7% Si alloys. Two different iron additions were made, 0.6% Fe and 2% Fe, to…
The distribution of Gaussian multiplicative chaos on the unit interval
We consider the sub-critical Gaussian multiplicative chaos (GMC) measure defined on the unit interval [0,1] and prove an exact formula for the fractional moments of the total mass of this measure.…
Liouville Quantum Gravity with Matter Central Charge in (1, 25): A Probabilistic Approach
- Ewain Gwynne, N. Holden, Joshua Pfeffer, G. Remy
- MathematicsCommunications in Mathematical Physics
- 21 March 2019
There is a substantial literature concerning Liouville quantum gravity (LQG) in two dimensions with conformal matter field of central charge $${{\mathbf {c}}}_{\mathrm M} \in (-\infty ,1]$$ c M ∈ ( -…
Integrability of boundary Liouville conformal field theory
Liouville conformal field theory (LCFT) is considered on a simply connected domain with boundary, specializing to the case where the Liouville potential is integrated only over the boundary of the…
Probabilistic conformal blocks for Liouville CFT on the torus
- Promit Ghosal, G. Remy, Xin Sun, Y. Sun
- Mathematics
- 8 March 2020
Liouville theory is a fundamental example of a conformal field theory (CFT) first introduced by Polyakov in the context of string theory. Conformal blocks are objects underlying the integrable…
Looking Deeper into the Galaxy (Note 7)
- M. Loveridge, G. Remy, D. Greenwood
- Materials Science
- 8 January 2018
TLDR
Ageing analysis and asymmetric stress considerations for small format cylindrical cells for wearable electronic devices
- C. Tan, M. Walker, M. Loveridge
- Materials ScienceJournal of Power Sources
- 1 October 2020
Liouville quantum gravity on the annulus
- G. Remy
- MathematicsJournal of Mathematical Physics
- 17 November 2017
In this work we construct Liouville quantum gravity on an annulus in the complex plane. This construction is aimed at providing a rigorous mathematical framework to the work of theoretical physicists…
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