The SAGEX Review on Scattering Amplitudes
Travaglini, G Brandhuber, A Dorey, P McLoughlin, T Abreu, S Bern, Z Bjerrum-Bohr, N Blümlein, J Britto, R Carrasco, J Chicherin, D Chiodaroli, M Damgaard, P Duca, V Dixon, L Dorigoni, D Duhr, C Geyer, Y Green, M Herrmann, E Heslop, P Johansson, H Korchemsky, G Kosower, D Mason, L Monteiro, R O'Connell, D Papathanasiou, G Plante, L Plefka, J Puhm, A Raclariu, A Roiban, R Schneider, C Trnka, J Vanhove, P Wen, C White, C (24 Mar 2022) http://arxiv.org/abs/2203.13011v3
Thu, 02 Feb 2023

16:00 - 17:00
L6

Energy transition under scenario uncertainty: a mean-field game approach

Roxana Dumitrescu
Abstract

We study the impact of transition scenario uncertainty, and in particular, the uncertainty about future carbon price and electricity demand, on the pace of decarbonization of the electricity industry. To this end, we build a discrete time mean-field game model for the long-term dynamics of the electricity market subject to common random shocks affecting the carbon price and the electricity demand. These shocks depend on a macroeconomic scenario, which is not observed by the agents, but can be partially deduced from the frequency of the shocks. Due to this partial observation feature, the common noise is non-Markovian. We consider two classes of agents: conventional producers and renewable producers. The former choose an optimal moment to exit the market and the latter choose an optimal moment to enter the market by investing into renewable generation. The agents interact through the market price determined by a merit order mechanism with an exogenous stochastic demand. We prove the existence of Nash equilibria in the resulting mean-field game of optimal stopping with common noise, developing a novel linear programming approach for these problems. We illustrate our model by an example inspired by the UK electricity market, and show that scenario uncertainty leads to significant changes in the speed of replacement of conventional generators by renewable production.

M-theory on AdS(4)x S-7 at 1-loop and beyond
Alday, L Chester, S Raj, H JOURNAL OF HIGH ENERGY PHYSICS volume 2022 issue 11 (01 Jan 2022)
An invariance principle for gradient flows in the space of probability measures
Carrillo, J Gvalani, R Wu, J Journal of Differential Equations volume 345 233-284 (05 Feb 2023)
Bendocapillary instability of liquid in a flexible-walled channel
Bradley, A Hewitt, I Vella, D Journal of Fluid Mechanics volume 955 (25 Jan 2023)
Efficient inference and identifiability analysis for differential equation models with random parameters
Browning, A Drovandi, C Turner, I Jenner, A Simpson, M PLoS Computational Biology volume 18 issue 11 (28 Nov 2022)
On the effects of a wide opening in the domain of the (stochastic) Allen-Cahn equation and the motion of hybrid zones
Etheridge, A Gooding, M Letter, I Electronic Journal of Probability volume 27 1-53 (19 Dec 2022)
Mon, 30 Jan 2023

15:30 - 16:30
L1

Systemic Risk in Markets with Multiple Central Counterparties

Luitgard Veraart
Abstract

We provide a framework for modelling risk and quantifying payment shortfalls in cleared markets with multiple central counterparties (CCPs). Building on the stylised fact that clearing membership is shared among CCPs, we show how this can transmit stress across markets through multiple CCPs. We provide stylised examples to lay out how such stress transmission can take place, as well as empirical evidence to illustrate that the mechanisms we study could be relevant in practice. Furthermore, we show how stress mitigation mechanisms such as variation margin gains haircutting by one CCP can have spillover effects on other CCPs. The framework can be used to enhance CCP stress-testing, which currently relies on the “Cover 2” standard requiring CCPs to be able to withstand the default of their two largest clearing members. We show that who these two clearing members are can be significantly affected by higher-order effects arising from interconnectedness through shared clearing membership. Looking at the full network of CCPs and shared clearing members is therefore important from a financial stability perspective.

This is joint work with Iñaki Aldasoro.

BIS Working Paper No 1052: https://www.bis.org/publ/work1052.pdf

Continuous Indexing of Fibrosis (CIF): improving the assessment and classification of MPN patients
Ryou, H Sirinukunwattana, K Aberdeen, A Grindstaff, G Stolz, B Byrne, H Harrington, H Sousos, N Godfrey, A Harrison, C Psaila, B Mead, A Rees, G Turner, G Rittscher, J Royston, D Leukemia (05 Dec 2022)
Spectacularly large coefficients in Müntz's theorem
Trefethen, L La Matematica volume 2 issue 1 31-36 (18 Jan 2023)
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