Search Results for author: Alexey Pozdnyakov

Found 3 papers, 0 papers with code

Fair pricing and hedging under small perturbations of the numéraire on a finite probability space

no code implementations21 Aug 2022 William Busching, Delphine Hintz, Oleksii Mostovyi, Alexey Pozdnyakov

By reformulating the key stochastic control problem in a more tractable form, we show that both the fair price and optimal strategy are stable with respect to small perturbations of the num\'eraire.

Stochastic Scaling in Loss Functions for Physics-Informed Neural Networks

no code implementations7 Aug 2022 Ethan Mills, Alexey Pozdnyakov

Differential equations are used in a wide variety of disciplines, describing the complex behavior of the physical world.

Murmurations of elliptic curves

no code implementations21 Apr 2022 Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver, Alexey Pozdnyakov

We investigate the average value of the $p$th Dirichlet coefficients of elliptic curves for a prime p in a fixed conductor range with given rank.

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